An Approach to Modeling Altruistic Equilibrium in Games

• Autorzy: Dmitry Podkopaev
• Języki publikacji: EN

Abstrakty

EN

We present an approach to modeling equilibrium in non-cooperative non-zero sum games taking into account player altruism. The altruistic preferences concern the relations between changes of the given player's and the other players' pay-offs. The degree of altruism is represented by the altruistic coefficient for each pair of players. We prove that any Pareto optimal strategy profile can be an equilibrium if the level of player altruism is high enough.(original abstract)

Słowa kluczowe

EN

Game theory; Statistics

PL

Teoria gier; Statystyka

• Czasopismo: Multiple Criteria Decision Making / University of Economics in Katowice
• Rocznik: 2011
• Tom: 6
• Strony: 188--199

Twórcy

autor

Dmitry Podkopaev

Bibliografia

• Axelrod R. (1980): Effective Choice in the Prisoner's Dilemma. "Journal Conflict Resolution", 24, pp. 3-25.
• Axelrod R. (1984): Evolution of Cooperation. Basic Books, New York.
• Bolton G., Ockenfels A. (2000): ERC: A Theory of Equity, Reciprocity, and Competition. "American Economic Review", pp. 166-193.
• Charness G., Rabin M. (2002): Understanding Social Preferences With Simple Tests. "Quarterly Journal of Economics", 117, pp. 817-869.
• Chlebuś M., Kamiński W., Kotowski R. (2009): Collective Prisoner's Dilemma Model of Artificial Society. In: Lecture Notes in Computer Science. Vol. 5796, N.T. Nguyen, R. Kowalczyk and S.-M. Chen (eds.). Springer-Verlag, Berlin- -Heidelberg, pp. 584-595.
• Collard D. (1975): Edgeworth's Propositions on Altruism. "Economic Journal", 85(338), pp. 355-360.
• Edgeworth F.Y. (1881): Mathematical Psychics: An Essay on the Application of Mathematics to the Moral Sciences. Kegan Paul, London.
• Fehr E., Schmidt K. (1999): A Theory of Fairness, Competition, And Cooperation. "Quartterly Journal of Economics", 114, pp. 817-868.
• Kaliszewski I. (2006): Soft Computing for Complex Multiple Criteria Decision Making. International Series in Operations Research & Management Science. Springer- -Verlag, Berlin.
• Kaliszewski I., Michalowski W. (1997): Efficient Solutions and Bounds on Tradeoffs. "Journal of Optimization Theory and Applications", 94, pp. 381-394.
• Krugman P. (2009): How Did Economists Get It So Wrong? New York Times (New York Edition), September 6.
• Nowak M.A., Sigmund K. (2004): Evolutionary Dynamics of Biological Games. "Science", 303, pp. 793-799.
• Robson A.J. (1990): Efficiency in Evolutionary Games: Darwin, Nash, and the Secret Handshake. "Journal of Theoretical Biology" 144, pp. 379-396.
• Szabó G., Fáth G. (2007): Evolutionary Games on Graphs. "Physics Reports", Vol. 446, Iss. 4-6, pp. 97-216.