Birth date : 18 .12.1940 Citizenship: Russia Present position: Professor, head of the department of mathematical game theory and statistical decisions , dean of the faculty of applied mathematics of St.Petersburg State University. Adress: Universitetski pr. 35 , Petrodvoretz, St.-Petersburg,198504, Russia Fax:7(812)4287159 Telephone : 7 (812)3500893 e-mail spbuoasis7@peterlink.ru

Academic degree and appointments:

1962 Master of St.-Petersburg State University

1965 Ph.D. at Vilnius State University

1972 Dr. of Sci. of St.-Petersburg State University

1976 Full Professor of St.-Petersburg State University

• Head of the Department of Mathematical Game Theory and Statistical decisions (now acting)

Dean of the Faculty of Applied mathematics – Control Processes (now acting).

2001 Director of the Center of Game Theory ,St.- Petersburg State University (now acting).

Language spoken:

English, German, Spanish, Russian, Armenian

Scientific international experience :

In 2008 elected as President of the International Society of Dynamic Games (ISDG),

In 2008 elected as foreign member of the Academy of Sciences of the Republic of Armenia.

1968-1969 Visiting professor at Assiout University, Assiout, Egypt

1974 Visiting professor at Universidad Oriente, Santiago de Cuba, Cuba

1980 May Visiting professor at Universidad Oriente, Santiago de Cuba, Cuba

1989 November- Visiting professor at Zagreb University,

           December Yugoslavia

1990 May Visiting professor at University of California, Berkeley, USA

1991 April Visiting professor at Osaka City University, Osaka, Japan

1992 April Visiting professor at Stockholm University, Stockholm, Sweden

1993 March Visiting professor at Korea University, Seoul, South Korea

1995 october Visiting professor at Osaka City University, Osaka, Japan

1996 April Visiting professor at Keymion University, Taegu, Korea

1997 March Visiting professor at Cambridge University, Cambridge, UK

1999 April Visiting professor at Osaka City University, Osaka, Japan

2000 April Visiting professor at Adelaide University, Adelaide, Australia

2001 February Visiting professor at Hong Kong Baptist University, Hong Kong

2002 October Visiting Professor at Osaka City University, Osaka, Japan

2008 May Visiting Professor at the HEC Montreal, Montreal, Canada

1966 International Congress of Mathematics, Moscow, USSR

1983 International Congress of Mathematics, Warsaw, Poland

1990 IV International Symposium on Dynamic Games, Helsinki, Finland

1991 International Conference on Game Theory, Firenze, Italy

1992 V International Symposium on Dynamic Games, Jeneva, Switzerland

1993 IFIP Congress, Compiegne, France

1994 VI International Symposium on Dynamic Games and Applications, St. Jovite, Canada

1995 International Conference on Dynamic Evolutionary Game Theory, Waterloo, Canada

1995 ICIAM , Hamburg, Germany

1995 8th Workshop on Dynamics and Control, Shopron, Hungary

1996 9th Workshop on Dynamics and Control, Rio de Janeiro, Brazil

• Optimization days, Montreal, Canada
• Optimization days, Montreal, Canada
• V1th International Symposium on Dynamic Games and Applications, Maastricht, The Netherlands
• 10 th Viennese Workshop on Dynamic Games, Vienna, Austria
• 1Xth International Symposium on Dynamic Games and Applications, Adelaide, Australia (plenary speaker)
• 11 nd International Conference on Non-linear Analysis and Convex Analysis, Hirosaky, Japan (plenary speaker)

Game Theory Festival at Stony Brook, USA (plenary speaker)

• Satellite to ICM 2002 conference on Game Theory and Applications, Qingdao, China (plenary speaker).
• 111 International Conference on Non-linear Analysis and Convex Analysis, Tokyo, Japan (plenary speaker)

15 th Italian meeting on Game theory and Applications (XMIMGTA), Urbino, Italy (plenary speaker)

ISDG workshop on Dynamic Games, Goslar, Germany (plenary speaker)

• Third International Congress of the Game Theory Society,

Marseille, France.

• 11 th International symposium on Dynamic Games and

Applications.

5 th International ISDG workshop, Segovia, Spain (plenary Speaker)

2006 12 th International Symposium on Dynamic Games and

Applications, Inria - Sophia Antipolice, France

MDEF 2006. Modelli Dinamici ter le' Economia e la Finanza. Urbino, Italy (plenary speaker)

6th Meeting on Game theory and Practice, Zaragoza, Spain (plenary speaker)

3 rd Pan-Pacific Conference on Game Theory, Beijing, China (plenary speaker)

6 th International ISDG workshop, Rabat, Morocco (plenary speaker)

2007 Dynamic Games in Management Studies, Qingdao, China (plenary speaker)

A Game Theoretical Model of Environmental Management, IFAC Symposium on Computational Economics, Financial and Industrial Systems, Istambul, Turkey

2008 Third World Congress of the Game theory Society “Games 2008” Kellogg School of management, Northwestern University, Chicago, Illinois, USA

Dynamic Games in Management Science, Montreal, Canada (plenary speaker)

13 th International Symposium on Dynamic Games and Applications, Vrotslav, Poland

The XIV Latin Ibero-American Congress on Operations Research (CLAIO 2008). Cartagena, Colombia (plenary speaker)

• Seventh International ISDG Workshop, Djerba, Tunisia

The Sixth International Conference on Nonlinear Analysis and Convex Analysis (NACA2009), Tokyo, Japan (plenary speaker)

Teaching experience:

1968 – 2009. Teaching for undergraduate students of the Faculty of Applied Mathematics of St.-Petersburg State University the following courses :

1. Theory of games.
2. Control theory
3. Linear algebra
4. Operations research

1968 -2009 Teaching for postgraduate students of the Faculty of Applied Mathematics of St.- Petersburg State University the following courses :

1. Multistage games.
2. Cooperative games.
3. Differential games.
4. Mathematical ecology .

Supervision of Master Dissertation (2-3 educ. year) and Ph.d. Dissertation.

The following POSTGRADUATE students have got their PH.D. Degree under the supervision of L.A.Petrosyan:

  1) Chistjakov S.V. Iterative methods in differential games with prescribed duration

2) Kovshov A.M. Parallel pursuit strategies in the pursuit games on the sphere

3) Savishenko N.I. Game-theoretic model of air pollution

4) Ogloblin V.L. Stationary strategies in the games with information lag

5) Slobodinskaja T.V. Differential Games of Pursuit with information delay

6) Zvetkova G.V. Dynamic optimal allocation problem

7) Kuzmina T.J. Non zero sum dynamic two-person games

8) Garnaev A.J. On a class of search games

9) Gandiljan V.V. Mathematical methods in pollution control

10) Kuzutin D.V. Time-consistency of solutions in a class of games with incomplete information

11) Koch A.A. Pursuit games with discrete information

12) Mirachmedova I.O. Search games in non homogenous space

13) Jashina M.V. On a class of simulations pursuit-search game

14) Eskova V.A. Investigation of optimality principles in multicriterial control and non zero sum differential games

15) Shiriaev V.D. Realization of optimality principles in n-person differential games.

16) Chachaturjan K.V. Differential games with discrete information

17) Murzov N.V. On some problems in differential game theory

18) Sloboshanin N.M. Multistage games with non complete information lag.

19) Garnaeva G.J. Game theoretic search problems

20) Vorobjov N.N. Effective algorithm of solutions for finite n-person games.

21) Imbert Tamajo, J. Game theoretic models of hierarchical control system

22) Malafeev O.A. Dynamic games with perfect information

23) Ulanov V.A. Non atomic differential games

24) Tkashenko G.G. About continuous trajectories in differential games of survival

25) Tomsky G.V. Parametric differential games

26) Zenkevich N.A. Functional educations for differential games of pursuit with incomplete information.

27) Danilov N.N. Optimality principles in cooperative differential games

28) Tarashnina S.I. Nash equilibrium in a team pursuit game

29) Gao H. ? cooperative decision making: elements of static and dynamics.

30) Savichenko N.I. Game theoretic model of air pollution

31) Kovshov A.M. Parallel pursuit strategies on a sphere.

32) Kusyutin D.V. Dynamic stability of some classes of games with incomplete information

33) Sukhotina M.A. About the convergence of the learning algorithm for evolutionary game

34) Kultina M.V. Nash equilibrium in voting game

35) Egorova A.A. Equilibrium in repeated and multistage games

36) Kornienko E.A. Solutions of cooperative dynamic games

37) Grauer L.V. New equilibrium concepts in stochastic games

38) Shevkoplyas E.V. Cooperative differential games with random duration

39) Baranova E.M. Cooperative stochastic games

40) Mamkina S.I. Multistage games with perfect information and variable coalitional structure

41) Markovkin M.V. Linear-quadratic differential games

42) Varlamova A.G. Computational methods for solution of team pursuit games

43) Sedakov A.A. Multistage games with coalitional structure

Fields of research:

Operations Research, Theory of Games, Differential Games, Control Theory.

• Solution of zero-sum simple pursuit games such as "lifeline game", "two pursuers - one evader game", "deadline game in a half plane". Proof of the existence of epsilon-saddle point in piecewise open loop strategies in general dynamic zero sum games with prescribed duration and independent motions. Method of solution of pursuit games based on the technique of invariant counter of pursuit (regular case).
  


• Differential pursuit games with incomplete information including games with information delay about the state of the game. Finite search games and dynamic search games. Construction of saddle points using mixed piecewise open loop strategies. Solution of concrete games with incomplete information.
  


• Investigation and refinement of Nash equilibrium concept for multistage games with perfect information, on the bases of the so called players preference functions. Proof of the uniqueness of such an equilibrium. Derivation of the system of the first order partial differential extremal equations for the payoffs in Nash equilibrium for differential games. Description of classes of Nash equilibrium in concrete differential games.
  


• Statement and investigation of the time-consistency problem in n-person differential games. Analysis of classical optimality principles from cooperative and non cooperative game theory from the point of their time consistency. Proof of the time inconsistency of the most known optimality principles. Regularization methods {integral and differential) based upon the IDP (imputation distribution procedures) which gives the possibility of construction new time consistent optimality principles from the previously time inconsistent ones.
  


• Applications to the environment protection. Methods of creation of time consistent policy in long range environmental planning based upon the considered approaches for cooperative and non cooperative differential games.
  


• The total number of publications in leading scientific journals exceeds 180 (among them more than 20 books). Nearly the half of publications are translated into English or published in the Western mathematical journals.
  


• Editor of the journal “International Game Theory Review” (W.S. Pbl., Singapore, London) and the international periodical “Game Theory and Applications”(Nova sci. Pbl. N.Y., USA), chief editor of the Viestnik Petrburgskogo Universiteta , seria 10 (Applied Mathematics, Control, Informatics).
  
  
  

Most pertinent books:

• Differential games of pursuit, World Scientific, Singapore, London, 1993, 340 p.p.
• Search games, St.-Petersburg University Press, 1992, 236 p.p.
• Introduction to the mathematical ecology, Leningrad University Press, 1986, 222 p.p. (with V.V.Zakharov) in Russian
• Cooperative differential games and their applications, Tomsk. University Press, 1986, 276 p.p. {with N.N.Danilov) in Russian
• Game theory, World Scientific, New Jersey, 1996, 380 p.p. (with N.A.Zenkevich)
• Pursuit on the plane, Nauka Pbl., Moskow, 1991, 100 p.p. in Russian
• Game-theoretic models in environment protection, 1997, Nova Science Pbl., N.Y. 246 p.p.
• Stochastic Cooperative differential games, 2006, Springer (with D.W.K.Yeung) 242p.p.
• Dynamic cooperation: a paradigm on the cutting edge of game theory (with D.W.K.Yeung and M.C.C.Lee), China Market Press, 2007, 269 p.p.
• Stable Solutions of Positional Games, 2008, St. Petersburg University Press,(with D.V.Kusyutin) 274p.p.

Most pertinent publications (PAPERS and BOOKS)

Petrosjan L.A. Semicooperative games. Vestnik St. Petersburg Univ. Math. 31 (1998), no. 2, 57–63 (1999).

Petrosjan L. A. On constructing a unique by payoffs Nash equilibrium in a perfect-information game. Vestnik St. Petersburg Univ. Math. 32 (1999)

Petrosjan L. A. A unique Nash solution for the games with perfect information. Int. J. Math. Game Theory Algebra 10 (2000)

Petrosjan L. A., Zaccour Georges. A multistage supergame of downstream pollution. Advances in dynamic games and applications (Kanagawa, 1996), 387–403, Ann. Internat. Soc. Dynam. Games, 5, Birkhäuser Boston, Boston, MA, 2000.

Petrosjan L. A. Issledovaniya po geometrii prostogo presledovaniya. (Russian) [Investigations in the geometry of simple pursuit] Edited by L. A. Petrosjan. Yakutsk. Gos. Univ., Yakutsk, 1991. 105 pp. ISBN: 5-230-20971-2

Petrosjan L. A. A unique Nash solution for the games with perfect information. Game theory and applications, IV, 121-129, Nova Sci. Publ., Commack, NY, 1998.

Game theory and applications. Vol.1-9. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1995-2003

Petrosjan L. A., Ayoshin Dmitri A, Tanaka Tamaki .Construction of a time consistent core in multichoice multistage games. Decision theory and related fields (Japanese) ( Kyoto, 1997). S=urikaisekikenky=usho K=oky=uroku No. 1043 (1998), 198-206.

Petrosjan L. A. Agreeable solutions in differential games. Int. J. Math. Game Theory Algebra 7 (1998), no. 2-3, 165-177. (Reviewer: H. Abou-Kandil)

Petrosjan L. A., Zenkevich N. A., Semina E. A. {Teoriya igr}. (Russian) [Game theory] "Vyssh. Shkola", Moscow; Knizhnyui Dom "Universitet", Moscow, 1998. 301 pp. ISBN: 5-06-001005-8; 5-8013-0007-4

Petrosjan L. A., Zakharov, V. V. Matematicheskie modeli v ekologii. (Russian) [Mathematical models in ecology] Izdatel'stvo Sankt-Peterburgskogo Universiteta, St. Petersburg, 1997. 254 pp. ISBN: 5-288-01527-9 (Reviewer: Alexander Abakumov)

Petrosjan L. A. The time consistency (dynamic stability) in differential games with a discount factor. Game theory and applications, 47–53, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Asen L. Dontchev)

Petrosjan L. A. On new strongly dynamically stable optimality principles in cooperative differential games. (Russian) Trudy Mat. Inst. Steklov. 211 (1995), Optim. Upr. i Differ. Uravn., 370–376. (Reviewer: Anatolii F. Kleimenov)

Petrosjan L. A., Tanaka Tamaki Multistage games with vector payoffs. Game theory and applications, II, 185–191, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Veijo Kaitala)

Petrosjan L. A. Integral and differential optimality principles in $n$-person differential games. Game theory and applications, 155–168, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Fausto Mignanego)

Petrosjan L. A., Tanaka Tamaki. Multistage games with vector payoffs. Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 97–102. (Reviewer: H. Abou-Kandil)

Petrosjan L. A. The Shapley value for differential games. New trends in dynamic games and applications, 409–417, Ann. Internat. Soc. Dynam. Games, 3, Birkhauser Boston, Boston, MA, 1995. (Reviewer: Anatolii F. Kleimenov)

Petrosjan L. A. The regularization of NB-scheme in differential games. Dynam. Control 5 (1995), no. 1, 31–35. (Reviewer: E. G. Alcprime brekht)

Petrosjan L. A. Construction of strongly dynamically stable solutions in cooperative differential games. (Russian) Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1992, vyp. 2, 33–38, 114 translation in Vestnik St. Petersburg Univ. Math. 25 (1992), no. 2, 32–36

Petrosjan L. A. The values of hierarchical differential games. (Russian) Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1992, vyp. 1,39–43, 117–118 translation in Vestnik St. Petersburg Univ. Math. 25 (1992), no. 1, 37–41

Petrosjan L. A. Strongly dynamically stable optimality principles in multicriterial optimal control problems. J. Comput. Systems Sci. Internat. 32 (1994), no. 2, 146–150; translated from Izv. Ross. Akad. Nauk Tekhn. Kibernet. 1993, no. 1, 169–174 (Russian) (Reviewer: Zdzislaw Wyderka)

Petrosjan L. A., Garnaev A.Yu. {Igry poiska}. (Russian) [Search games] St.-Peterbg. Gos. Univ., St. Petersburg, 1992. 217 pp. ISBN: 5-288-00482-X (Reviewer: M. S. Shtil'man)

Petrosjan L. A. The time consistency of the optimality principles in nonzero sum differential games. Dynamic games in economic analysis ( Espoo, 1990), 299–311, Lecture Notes in Control and Inform. Sci., 157, Springer, Berlin, 1991. (Reviewer: Josef Shinar)

Petrosjan L.A.(on the occasion of his fiftieth birthday). (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1990, vyp. 2, 117–119.

Petrosjan L. A. Differential games with dependent strategy sets. (Russian) Academician V. V. Novozhilov - scholar, teacher, citizen (Russian), 230–236, 262, Voprosy Mekh. Protsess. Upravl., 13, Leningrad. Univ., Leningrad, 1990.

Petrosjan L. A., Kuzmina T. I. {Beskoalitsionnye differentsial'nye igry}. (Russian) [Non cooperative differential games] Irkutsk. Gos. Univ., Irkutsk, 1989. 150 pp. (Reviewer: L. F. Pau)

Petrosjan L. A., Tomskiui G. V. {Elementarnye zadachi presledovaniya i ubeganiya}. (Russian) [Elementary problems of pursuit and evasion] Yakutsk. Gos. Univ., Yakutsk, 1989. 81 pp. (Reviewer: W. H. Ruckle)

Petrosjan L. A. Multistage multicriterial games with complete information. (Russian) Game theory and its applications (Russian), 66–74, 130, Kemer. Gos. Univ., Kemerovo, 1989.

Petrosjan L. A., Malafeev O. A. Differential multicriterial n-person games. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1989, vyp. 3,27–31, 121 translation in Vestnik Leningrad Univ. Math. 22 (1989), no. 3, 33–38 (Reviewer: Zdzislaw Wyderka)

{Teoriya igr i ee prilozheniya}. (Russian) [Game theory and its applications] Edited by L. A. Petrosjan. Kemer. Gos. Univ., Kemerovo, 1989. 135 pp.

Petrosjan L. A. Strong dynamic stability of optimality principles in noncooperative differential games. (Russian) Dynamics of control systems (Russian), 147–153, 205, Voprosy Mekh. Protsess. Upravl., 11, Leningrad. Univ., Leningrad, 1989. (Reviewer: Witold Rzymowski)

Petrosjan L. A., Zenkevich N. A. {Optimal'nyi poisk v usloviyakh konflikta}. (Russian) [Optimal search under conditions of conflict] Leningrad. Univ., Leningrad, 1987. 76 pp. (Reviewer: Boleslaw Tolwi'nski)

Petrosjan L. A., Shiryaev V. D. {Ierarkhicheskie igry}. (Russian) [Hierarchical games] Mordovskiui Gosudarstvennyui Universitet, Saransk, 1986. 92 pp. (Reviewer: Bolesl aw Tolwi'nski)

Petrosjan L. A., Tomski G. V. {Differentsial'nye igry s nepolnoui informatsieui }. (Russian) [Differential games with incomplete information] Irkutcydot sk. Gos.Univ., Irkutsk, 1984. 188 pp. (Reviewer: Andrei V. Panteleyev)

Petrosjan L. A. Classification of dynamically stable solutions in cooperative differential games. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1986, no. 7, 24–35, 87. (Reviewer: Bolesl aw Tol wi'nski)

Petrosjan L. A., Danilov N. N. {Kooperativnye differentsial'nye igry i ikh prilozheniya}. (Russian) [Cooperative differential games and their applications] Tomsk. Gos. Univ., Tomsk, 1985. 276 pp. (Reviewer: J. M. Skowro'nski)

Petrosjan L. A., Skitovich V. V. Search for a fixed object on a sphere. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1986, vyp. 1, 54–58, 134.

Petrosjan L. A. Mixed strategies in differential games with incomplete information. (Russian) Differential, multistage, noncooperative and hierarchical games, 26–41, 139, Kalinin. Gos. Univ., Kalinin, 1985. (Reviewer: Claudia Simionescu-Badea)

Petrosjan L. A., Zenkevich N.A. Dynamic models of search under conditions of conflict. (Russian) Control of dynamical systems, 97–108, 204, Voprosy Mekh. Protsess. Upravl., 7, Leningrad. Univ., Leningrad, 1984.

Petrosjan L. A. Simultaneous search game and random distribution of points on a plane. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1985, vyp. 1, 31–35, 121.

Petrosjan L. A., Imbert Kh. T. On the determination of the characteristic function of a treelike hierarchical game. (Russian) Hierarchical, multistage, differential games and their applications, 68–73, 139, Kalinin. Gos. Univ., Kalinin, 1984.

Upravlenie dinamicheskimi sistemami}. (Russian) [Control of dynamical systems] Edited by V. I. Zubov and L. A. Petrosjan. {Voprosy Mekhaniki i Protsessov Upravleniya} [Questions of Mechanics and Control Processes], 7. Leningrad. Univ., Leningrad, 1984. 208 pp.

Petrosjan L. A., Danilov, N. N. A game theoretic model for carrying out a joint project. Engrg. Cybernetics 22 (1984), no. 3, 66–71 (1985); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1984, no. 2,84–90, 204 (Russian)

Petrosjan L. A. Differential games. Current state and problems. (Russian) Multistep, differential, non cooperative and cooperative games, 26–31, Kalinin. Gos. Univ., Kalinin, 1983.

Petrosjan L. A., Zakharov V. V. Dynamic game-theoretic model of regional development. (Russian) Multistep, differential, noncooperative and cooperative games, 31–39, Kalinin. Gos. Univ., Kalinin, 1983.

Petrosjan L. A. Mathematical models of a controllable ecological equilibrium. (Russian) Mathematical methods of optimization and control in complex systems, 78–86, Kalinin. Gos. Univ., Kalinin, 1983. (Reviewer: K. Smitalova)

Petrosjan L. A. New directions in differential game theory. (Russian) Game theory and its applications, 3–22, Kemer. Gos. Univ., Kemerovo, 1983.

(Teoriya igr i ee prilozheniya}. (Russian) [Game theory and its applications] Edited by L. A. Petrosjan. Kemer. Gos. Univ., Kemerovo, 1983. 153 pp.

Petrosjan L. A., Tomski G. V. {Geometriya prostogo presledovaniya}. (Russian) [Geometry of simple pursuit] ``Nauka'' Sibirsk. Otdel., Novosibirsk, 1983. 143 pp. (Reviewer: E. G. Alcprime brekht)

Petrosjan L. A., Tomskiy G. V. Dynamic games. Engrg. Cybernetics 21 (1983), no. 2, 24–38 (1984); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1983, no. 2,33–50 (Russian)

Petrosjan L. A. Differential search games. Reduction to dynamic games with complete information. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1983, vyp. 2, 26–30.

Petrosjan L. A., Shiryaev V. D. Simple pursuit by one pursuer of two pursued. (Russian) Some questions of differential and integral equations and their applications, No. 3, 103–108, Yakutsk. Gos. Univ., Yakutsk, 1978.

Petrosjan L. A., Tomski i G. V. Dynamic games with complete information and their applications to games with incomplete information. (Russian) Differentsialnye Uravneniya 18 (1982), no. 4, 593–599, 732.

Petrosjan L. A., Tomski G. V. {Dinamicheskie igry i ikh prilozheniya}. (Russian) [Dynamic games and their applications] Leningrad. Univ., Leningrad, 1982. 252 pp. (Reviewer: O. A. Malafeev)

Imbert T. Josue, Petrosjan L. A. Applications to economics of the theory of $n$-person games. (Spanish) Investigacion Oper. No. 28 (1979), 3–29 .

Petrosjan L.A. Solutions of n-person differential games. (Russian) Mat. Metody v Sotsial. Nauk.–-Trudy Sem. Protsessy Optimal. Upravleniya II Sektsiya No. 13 (1980), 32–36, 83.

Petrosjan L. A., Ulanov V. A. Dynamic games with an infinite number of players. Basic constructions. Russian, Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1982, vyp. 2,69–75, 126. (Reviewer: F. Szidarovszky)

Petrosjan L. A., Slobodinskaya, T. V. Functional equations for a differential game with incomplete information. (Russian) Methods of mathematical analysis of controlled processes, pp. 183–197, 281, Voprosy Mekh. Protsess. Upravl., 4, Leningrad. Univ., Leningrad, 1981. (Reviewer: J. M. Skowro'nski)

Petrosjan L.A., Imbert H. Some game-theoretic models of the functioning of rhombus-shaped structures. (Russian) Mat. Metody v Sotsial. Nauk.–-Trudy Sem. Protsessy Optimal. Upravleniya II Sektsiya No. 13 (1980), 37–47, 83.

Petrosjan L. A. Game-theoretic analysis of hierarchical control systems. (Russian) Sixth Conference on Mathematical Methods in Economics (Vitte, 1980) (German), pp. 42–45, Seminarberichte, 29, Humboldt Univ., Berlin, 1980.

Petrosian L. A., Imbert J. E. A game-theoretic model with rhomboidal control structure. (Spanish) Investigacion Oper. 1 (1980), no. 1, 3–20.

Petrosjan L. A., Zaharov V. V. A game-theoretic approach to the problem of protection of the environment. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1981, vyp. 1, 26–32, 119–120. 92A17

Petrosjan L. A., Sirjaev V. D. Group pursuit game with several evaders and one pursuer. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1980, vyp. 3, 50–57, 130.

Petrosjan L. A., Danilov N. N. Stability of the solutions in nonantagonistic differential games with transferable payoffs. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1979, vyp. 1, 52–59, 134. (Reviewer: A. B. Kurzhanskiui)

Tyvsko N. M., Petrosjan L. A. Mathematical model for a tree-like hierarchical control structure. (Russian) Some questions of differential and integral equations and their applications, No. 2 (Russian), pp. 160–171, 191, Yakutskydot sk. Gos. Univ., Yakutsk, 1977.

Tihonova I. F., Petuhova, N. V., Petrosjan L. A. A hiearchical model of planning industrial production. (Russian) Some questions of differential and integral equations and their applications, No. 2 (Russian), pp. 86–98, 190, Yakutskydot sk. Gos. Univ., Yakutsk, 1977.

Slobodinskaja T. V., Petrosjan L. A. Antagonistic pursuit game with several participants and incomplete information. (Russian) Control of dynamical systems (Russian), pp. 195–213, 320, Leningrad. Univ., Leningrad, 1978.

Petrosjan L. A. Nonantagonistic differential games. (Russian) Control of dynamical systems (Russian), pp. 173–181, 319, Leningrad. Univ., Leningrad, 1978.

Zenkevich N. A., Petrosjan L. A. Differential games with discrete progression of information receiving by one of the players. (Russian) Control of dynamical systems (Russian), pp. 78–90, 314, Leningrad. Univ., Leningrad, 1978.

Petrosjan L. A. Differential pursuit-evasion games. (Russian) Vestnik Leningrad. Univ. No. 19 Mat. Meh. Astronom. Vyp. 4 (1972), 47–54, 146.

Petrosjan L. A. Stability of the solutions in differential games with several players. Russian) Vestnik Leningrad. Univ. 1977, no. 19 Mat. Mat. Meh. Astronom. vyp. 4, 46–52, 147. (Reviewer: Milan Medved)

Petrosjan L. A.{Differentsialcprime nye igry presledovaniya.} (Russian) [Differential pursuit games] Izdat. Leningrad. Univ., Leningrad. 1977. 222 pp. (Reviewer: V. Komkov)

Cistjakov S. V., Petrosjan L. A. An approach to the solution of pursuit games. (Russian) Vestnik Leningrad. Univ. 1977, no. 1 Mat. Meh. Astronom. vyp. 1, 77–82, 166. Reviewer: E. G. Albreht)

Slobodinskaja, T. V. Petrosjan L. A. Simultaneous pursuit games. (Russian) Mat. Metody v Social. Nauk.–Trudy Sem. Processy Optimal. Upravlenija II Sekcija Vyp. 5 (1975), 23–36. {Teoriya igr.} (Russian) [Game theory] First All-Union Conference on Game Theory, held in Erevan, November, 1968. Edited by N. N. Vorobcprime ev, A. A. Korbut, L. A. Petrosjan and E. B. Janovskaja. Izdat. Akad. Nauk Armjan. SSR, Erevan, 1973. 368 pp. (errata insert).

Petrosjan L. A. A pursuit game with fixed duration and with delay of information for both players. (Russian) Current trends in game theory (Russian), pp. 109–114. Izdat. "Mokslas", Vilnius, 1976. (Reviewer: G. Zatiasvili)

Beleevskiui M. M., Petrosjan L. A. The structure of an optimal strategy for the evader in a time-optimal pursuit game. (Russian) Vestnik Leningrad. Univ. No. 7 Mat. Meh. Astronom. Vyp. 2 (1975), 10–15, 169. (Reviewer: R. Petrovic)

Beleevskiui M. M., Petrosjan L. A. Structure of the optimal strategy of the evader in a certain class of differential pursuit games. (Russian) Vestnik Leningrad. Univ. No. 19 Mat. Meh. Astronom. Vyp. 4 (1974), 5–12, 169. (Reviewer: R. Petrovic)

Petrosjan L. A. Pursuit games with incomplete information. (Russian) Advances in game theory (Proc. Second All-Union Conf., Vilnius, 1971) (Russian), pp. 227–233. Izdat. "Mintis", Vilnius, 1973. (Reviewer: F. M. Kirillova)

Petrosjan L. A. A certain pursuit game with incomplete information. (Russian) Advances in game theory (Proc. Second All-Union Conf., Vilnius, 1971) (Russian), pp. 223–226. Izdat. "Mintis", Vilnius, 1973. (Reviewer: F. M. Kirillova)

Petrosjan L. A. "Differential games with complete information" (Problemy Kibernet. No. 27 (1973), 267–277). (Russian) Problemy Kibernet. No. 28 (1974), 280.

Petrosjan L. A. Pursuit games with information lag for player P. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 8 (1973), no. 2, 93–101, 177. (Reviewer: O. Hajek)

Petrosjan L. A. Differential games with complete information. (Russian) A collection consisting mainly of papers presented at the Second All-Union Conference on Problems of Theoretical Cybernetics ( Novosibirsk, 1971). Problemy Kibernet. No. 27 (1973), 267–277, 295. (Reviewer: G. Zatiasvili)

Malafeev O. A., Petrosjan L. A. A simple pursuit game in the plane with an obstacle. (Russian) Control systems, No. 9 (Russian), pp. 31–42. Inst. Mat. Inst. Kataliza Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk, 1971. (Reviewer: R. Petrovic)

Petrosjan L. A. Topological games and their applications to pursuit problems. I. SIAM J. Control 10 (1972), 194–202. (Reviewer: J. H. Case)

Petrosjan L. A. Games with a "life-line". The case of l-capture. SIAM J. Control 10 (1972), 40–47.

Petrosjan L. A. Generalized solutions of differential games of survival. (Russian) Ekonom. i Mat. Metody 3 1967 420–425. (Reviewer: Author's review)

Petrosjan L. A. Differential games with incomplete information. (Russian) Dokl. Akad. Nauk SSSR 195 1970 558–561. (Reviewer: F. M. Kirillova)

Petrosjan L. A. Invariant center of pursuit in a certain class of nonlinear differential games. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 4-5, 397–403. (Reviewer: A. Friedman)

Petrosjan L. A. Topological games and their applications to pursuit problems. I.(Russian) Vestnik Leningrad. Univ. 24 1969 no. 19, 55–63. (Reviewer: A.Friedman)

Petrosjan L.A., Kuzutin T.I. Games in Extensive Form: Optimality and Stability. St.Petersburg: St.Petersburg state university, 2000, 290 p.

Dutkeviv C., Ju. G., Petrosjan L. A. Games "with life line". The case of 1-capture. (Russian) Vestnik Leningrad. Univ. 24 1969 no. 13, 31–38. (Reviewer: Z. Vorel)

Petrosjan L. A. A certain class of quality games. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 3, 249–256. (Reviewer: J. M. Skowro'nski)

Petrosjan L. A. Differentialspiele und Verfolgungsprobleme. (German) Wiss. Z. Techn. Univ. Dresden 17 1968 761–766.

Petrosjan L. A. Differential games with independent movements. (Russian) Litovsk. Mat. Sb. 8 1968 127–136. (Reviewer: J. M. Skowro'nski)

Souihet B. A., Petrosjan L. A. A set-theoretic approach to pursuit games. (Russian) Litovsk. Mat. Sb. 8

1968 371–380. (Reviewer: J. R. Isbell)

Petrosjan L. A. Pursuit games "with life line". (Russian) Vestnik Leningrad. Univ. 22 1967 no. 13, 76–85. (Reviewer: J. M. Skowro'nski)

Petrosjan L. A. The applicability of Isaacs' technique of solution "in the small" to the solution "in the small" of certain pursuit games. (Russian) Vestnik Leningrad. Univ. 23 1968 no. 7, 66–70. (Reviewer: P. Sagirow)

Petrosjan L. A. A certain invariant in differential pursuit games. (Russian) Vestnik Leningrad. Univ. 23 1968 no. 1, 42–51. (Reviewer: L. D. Berkovitz)

Petrosjan L. A., Murzov, N. V. The n-person tug of war game. (Russian) Vestnik Leningrad. Univ. 22 1967 no. 13, 125–129. (Reviewer: L. W. Neustadt)

Petrosjan L. A. Another generalization of Kuhn's theorem. (Russian) 1967 Theory of games: Positional games (Russian) pp. 230–245 Izdat. "Nauka", Moscow (Reviewer: J. R. Isbell)

Petrosjan L. A. A certain mapping in a family of differential pursuit games. (Russian) Dokl. Akad. Nauk SSSR 178 1968 34–37. (Reviewer: P. Sagirow)

Petrosjan L. A. Signalling strategies and behavior strategies in a class of infinite positional games. (Russian) 1967 Theory of games: Positional games (Russian) pp. 221–229 Izdat. "Nauka", Moscow (Reviewer: J. R. Isbell)

Petrosjan L. A. Dynamic pursuit game in the presence of friction forces. (Russian) Akad. Nauk Armjan. SSR Dokl. 44 1967 no. 1, 3–7. (Reviewer: P. Sagirow)

Petrosjan L. A."Life-line" pursuit games with several players. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 1 1966 no. 5, 331–340. (Reviewer: L. D. Berkovitz)

Petrosjan L. A. Dispersal surfaces in a family of pursuit games. (Russian) Akad. Nauk Armjan. SSR Dokl. 43 1966 no. 4, 193–197. (Reviewer: L. D. Berkovitz)

Petrosjan L. A., Murzov N. V. Dynamical pursuit game. (Russian) Dokl. Akad. Nauk SSSR 172 1967 1270–1272. (Reviewer: L. D. Berkovitz)

Petrosjan L. A., Murzov N. V. Game-theoretic problems of mechanics. (Russian) Litovsk. Mat. Sb. 6 1966 423–433. (Reviewer: L. D. Berkovitz)

Murzov N. V., Petrosjan L. A. Pulling-over differential game. (Russian) Vestnik Leningrad. Univ. 22 1967 no. 1, 106–112. (Reviewer: Z. Vorel)

Petrosjan L. A. A game of pursuit on a half-plane. (Russian) Akad. Nauk Armjan. SSR Dokl. 40 1965 265–269. (Reviewer: A. Dvoretzky)

Petrosjan L. A. On the reduction of the solution of a game of pursuit for survival to the solution of a Cauchy problem for a first-order partial differential equation. (Russian) Akad. Nauk Armjan. SSR Dokl. 40 1965 193–196. (Reviewer: D. A. Lee)

Petrosjan L. A. Differential survival games with several players. (Russian) Dokl. Akad. Nauk SSSR 161 1965 285–287. (Reviewer: G. N. Raney)

Petrosjan L. A. A family of differential survival games in the space $Rsp{n}$. (Russian) Dokl. Akad. Nauk SSSR 161 1965 52–54. (Reviewer: G. N. Raney)

Petrosyan L. A., Kusyutin, D. V. On the stability of epsilon-equilibrium in the class of mixed strategies. Vestnik St. Petersburg Univ. Math. 28 (1995), no. 3, 46–50 (1996).

Petrosjan L. A. Characteristic functions of cooperative differential games. Vestnik St. Petersburg Univ. Math. 28 (1995), no. 1, 38–42.

Petrosjan L. A. Strongly time-consistent differential optimality principles. Vestnik St. Petersburg Univ. Math. 26 (1993), no. 4, 40–46.

Petrosjan L. A. Determining evolutionarily stable strategies in dynamic games. Vestnik St. Petersburg Univ. Math. 29 (1996), no. 1, 55–60.

Petrosjan L. A. Refinement of the Nash solution for games with perfect information. Advances in dynamic games and applications (Kanagawa, 1996), 269–277, Ann. Internat. Soc. Dynam. Games, 5, Birkhauser Boston, Boston, MA, 2000.

Petrosjan L. A. Time consistency of cooperative solutions in dynamic games. Nonlinear analysis and convex analysis ( Niigata, 1998), 61–64, World Sci. Publishing, River Edge, NJ, 1999.

Petrosjan L. A. Agreeable solutions in differential games. Game theory and applications, III, 91–103, Nova Sci. Publ., Commack, NY, 1997.

Gauthier B., Petrosjan L. A. A game-theoretic model of the decision-making process within international economic organizations. Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 15–25.

Petrosjan L. A. Strongly time consistent optimality principles for the game with discount payoffs. System modelling and optimization ( Compiegne, 1993), 513–520, Lecture Notes in Control and Inform. Sci., 197, Springer, London, 1994.

Petrosjan L. A. The time consistency (dynamic stability) in differential games with a discount factor. Internat. Year-Book Game Theory Appl. 1 (1993), 47–53.

Petrosjan L. A. Multicriterial dynamic optimization. Conference on Differential Equations and Applications ( Ruse, 1989), 381–387, Tech. Univ., Ruse, 1991.

Petrosjan L. A. On a search problem. (Russian) Problems in optimal control and operations research (Russian), 136–139, 199, Irkutcydot sk. Gos. Univ., Irkutsk, 1988.

Petrosjan L. A. Games with dependent strategy sets. (Russian) Mathematical methods in the theory of computer-aided design systems, robots and systems (Russian), 26–31, Kalinin. Gos. Univ., Kalinin, 1988.

Petrosjan L. A. Dynamic and strong dynamic stability of optimal decisions. VII Conference on Applied Mathematics ( Osijek, 1989), 179–184, Univ. Osijek, Osijek, 1990.

Petrosjan L. A. Mathematical-ecological models and hierarchical games. (Russian) Mathematical models for the rational use of the environment (Russian), 76–86, 142, "Nauka" Sibirsk. Otdel., Novosibirsk, 1989.

Petrosjan L. A. Mixed strategies in differential games with incomplete information. (Russian) Differential equations and applications, I, II (Russian) ( Ruse, 1985), 317–320, `Angel Kanchev' Tech. Univ., Ruse, 1987.

Petrosjan L.A.,Zaccour G. A Multistage supergame of downstream pollution. Advances in Dynamic Games and Applications, vol.5, 1999.

Petrosjan L.A. Refinement of the Nash solution for games with perfect information. Advances in Dynamic Games and Applications, vol.5, 1999.

Petrosjan L.A., Filar Dynamic cooperative games, International Game Theory Review, vol.2, N1, 2000.

Petrosjan L.A., Villiger R. Time-consistent agreeable solurions in envirinment pollution game. Proceedings of the IFAC SME 2001 Conference, Klagenfurt, 2001.

Petrosjan L.A. Electing of the directorial councel. Stability and Control, Methods and Applications, Vol. 9 Gordon & Breach Sci Pbl. 1999.

Petrosjan L.A.,Ayoshin D. Values of dynamic games with partial cooperation, Papers of the institute of mathematics and mechanics,USC RAS, 1999 (in russian)

Petrosjan L.A. Shevkoplyas E.V. Cooperative games with random duration, Viestnik of St.Petersburg Univ., ser.1,vol.4,2000

Petrosjan L.A., Yeung D.W.K. Cooperative differential games with uncertain payoffs. Viestnik of St.Petersburg Univ.,Vol.3, 2000. (in russian)

Petrosjan L.A.,J.Puerto. Folk theorems in multicriterial repeated games. Sociedad de Statistica e Investigation Operativa, Vol.10, N2, 2002.

Petrosjan.L.A. Cooperative stochastic games. Proceedings of the 10th International Symposium on Dynamic Games and Applications, Vol.2.,2002

Petrosjan L.A., Grauer L.V. Strong Nash equilibrium in multistage games. International Game Theory Review, 4(3) 2002.

Petrosjan L.A., Grauer L.V. New class of solutions in multistege games with applications to "prisoners dilemma", Game Theory and Applications, Vol.8. 2002.

Petrosjan L.A., Zaccour G. Time-consistent Shapley value allocation of pollution cost reduction. Journal of Economics and Control, 27, 2003.

Petrosjan L.A., Shevkoplyas E.V. Cooperative solutions for games with random duration. Game Theory and Applications, Vol 9, 2003.

Petrosjan L.A. Bargaining in dynamic games, ICM Millenium lectures on games, Springer, 2003.

Petrosjan L.A., Nini M. Cooperation in Grid Computing - a game theory approach

J. of Qingdao university (natural science edition), Vol. 17, 2004.

Petrosyan L.A., Grauer L.V. Multistage games. Prikladnaya matematika i mechanika

Vol. 68, N 4. 2004.

Petrosyan L.A., Baranova E.M., Shevkoplyas E.V., Multistage cooperative games with random duration, Transactions of the Institute of Mathematics of the Russian Academy of Sci., Vol.10, N2, 2004.

Petrosyan L.A., Yeung D.W.K. Sub game consistent cooperative solutions in stochastic differential games, J. of optimization theory and applications, V. 120 (3). 2004.

Petrosyan L. A. Cooperative Dynamic Games with Incomplete. In Dynamic Games: Theory and Applications, ( Eds. Alain Haurie & Georges Zaccour), Springer Science + Business Media, Inc., NY, USA, 2005. 24 ? .

Petrosyan L.A., Mamkina S.I .Value for the Games with Changing Coalitional Structure, Game Theory and Applications, Vol.10, 2005.

Petrosyan L.A., Yeung D.W.K. Cooperative Stochastic Differential Games Springer, 2006. 242 ?

Petrosjan L.A., Yeung D.W.K. Subgame Consistent Solutions of a Cooperative Differential Game with Nontransferable Payoffs. Journal of Optimization Theory and Applications: Vol. 124, No. 3, 2005.

Petrosyan L.A. Cooperative Stochastic Games, Annals of the International Society of Dynamic Games, Advances in Dynamic Games, Applications to Economics, Management science, Engineering, and Environmental Management, Editors: Alain Haurie, Shigeo Muto, Leon A. Petrosyan, T.E.S. Raghavan, 2006.

Petrosyan L.A., Baranova E.M. Cooperative Stochastic Games in Stationary Strategies, Game Theory and Applications, Vol. 11, Nova Science Publ., NY, 2006.

Petrosyan L.A., Mamkina S.I. Dynamic Games with Coalitional Structures, International Game Theory Review, Special Issue on Differential Games, Vol. 8, no. 2, June 2006.

Petrosjan L.A., Yeung D.W.K. Dynamically stable corporate joint ventures. Automatica, 42, 2006. 6 ? .

Petrosyan L.A., D.W.K. Yeung, Dynamically stable cooperative solutions in randomly furcating differential games, Transactions of the Institute of Mathematics of Russian Academy of sci Vol. 12, ? 1, 2006.

Petrosyan L.A., D.W.K. Yeung , Dynamically Stable Cooperation and the Tenet of Transitory Compensation Viestnik of Petersburg University , vol. 10, ? 1, 2006.

Petrosyan L.A., Kozlovskaya N. Differential coalitional game of pollution cost reduction, Proceedings of The Second International Conference on Game Theory and Applications - World Academic Union (World Academic Press), 2007.

Petrosyan L.A., D.W.K. Yeung, The tenet of transitory compensation in dynamically stable cooperation, International Journal of Tomography & Statistics, Vol. 7, No. F07, 2007.

Petrosyan L.A., Yeung D.W.K., Lee M.C.? . Dynamic cooperation: a paradigm on the cutting-edge of game theory, China Market Press, 2007. 269 p.p

Petrosyan L.A. , Yeung D.W.K. Cooperative Stochastic Differential Game of Transboundary Industrial Pollution, Automatica, Vol.44, N6. 2008.

Petrosyan L.A., Yeung D.W.K. Managing Catastroph Bound Industrial Pollution, Contributions to game theory and management, GSOM, St. Petersburg University Publ, 2008, pp. 524-539.

Petrosyan L.A., Zenkevich N.A. Time-consistency of cooperative solutions in management, Game theory and applications, Nova Science Publ., NY, 2008.

Petrosyan L.A. Strategically Supported Cooperation, International Game Theory Review, N4, 2008, pp. 470-480.

Petrosyan L.A., Zenkevich N.A. Conditions for sustainable cooperation, Contributions to Game Theory and Management. Vol II. Collected papers/ Editors Leon A. Petrosjan, Nikolay A. Zenkevich , SPb, Graduate School of Management, SPbU, 2009. pp. 344-355.

Petrosyan L.A. Kolabutin N.V. D.W.K.Yeung Condition for Dynamically stable joint Venture, Contributions to Game Theory and Management. Vol II. Collected papers/ Editors Leon A. Petrosjan, Nikolay A. Zenkevich , SPb, Graduate School of Management, SPbU, 2009. pp. 220-240.

Grants:

RSF (Russian Science Foundation) Grant N 96-01-00398

Grant N 96-01-00235

Grant N 91-1-01714

Grant N 99-01-00692

Grant N 02-01-01256

Grant N 06-01-39005

JSF (International Science Foundation) Grant N 877_p

MHE (Ministery of High Education of Russian Federation)

UR 03.01.025

E00-1.0-56

INCO Copernicus PL 1116-96 (European Comission), 1996-1999.

EGIDE ECO-NET research grant “Game Theory for Wireless Networks, 2007-2008 ( France)

Grant of the President of Russian Federation for Support of Leading Scientific Schools SS 2174.2003.1

Special stipendium for outstanding scientists of Russian Federation

1993-96, 1996-1999