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Non-Altruistic Equilibria

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  • Ohnishi, Kazuhiro

Abstract

Which choice will a player make if he can make one of two choices in which his own payoffs are equal, but his rival’s payoffs are not equal, i.e. one with a large payoff for his rival and the other with a small payoff for his rival? This paper introduces non-altruistic equilibria for normal form games and extensive form non-altruistic equilibria for extensive form games as equilibrium concepts of noncooperative games by discussing such a problem and examines the connections between their equilibrium concepts and Nash and subgame perfect equilibria that are important and frequently encountered equilibrium concepts.

Suggested Citation

  • Ohnishi, Kazuhiro, 2018. "Non-Altruistic Equilibria," MPRA Paper 88347, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:88347
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    References listed on IDEAS

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    1. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    2. Mertens, J.-F., 1995. "Two examples of strategic equilibrium," Games and Economic Behavior, Elsevier, vol. 8(2), pages 378-388.
    3. Fudenberg, Drew & Levine, David K, 1993. "Self-Confirming Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 523-545, May.
    4. Jean-François Mertens, 1989. "Stable Equilibria---A Reformulation," Mathematics of Operations Research, INFORMS, vol. 14(4), pages 575-625, November.
    5. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    6. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    7. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
    8. MERTENS, Jean-François, 1989. "Stable equilibria - a reformulation. Part I. Definition and basic properties," LIDAM Reprints CORE 866, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 179-221.
    10. Maskin, Eric & Tirole, Jean, 1988. "A Theory of Dynamic Oligopoly, I: Overview and Quantity Competition with Large Fixed Costs," Econometrica, Econometric Society, vol. 56(3), pages 549-569, May.
    11. Stefan Klonner, 2008. "Private Information and Altruism in Bidding Roscas," Economic Journal, Royal Economic Society, vol. 118(528), pages 775-800, April.
    12. Srihari Govindan & Jean-François Mertens, 2004. "An equivalent definition of stable Equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(3), pages 339-357, June.
    13. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    14. Agnieszka Rusinowska, 2002. "Refinements Of Nash Equilibria In View Of Jealous Or Friendly Behavior Of Players," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 281-299.
    15. Ray, Indrajit, 1996. "Coalition-Proof Correlated Equilibrium: A Definition," Games and Economic Behavior, Elsevier, vol. 17(1), pages 56-79, November.
    16. Giuseppe De Marco & Jacqueline Morgan, 2008. "Friendliness And Reciprocity In Equilibrium Selection," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 53-72.
    17. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    18. G. De Marco & J. Morgan, 2008. "Slightly Altruistic Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 137(2), pages 347-362, May.
    19. MERTENS, Jean-François, 1991. "Stable equilibria - a reformulation. Part II. Discussion of the definition, and further results," LIDAM Reprints CORE 960, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. Hart, Sergiu, 1992. "Games in extensive and strategic forms," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 2, pages 19-40, Elsevier.
    21. Selten, Reinhard & Wooders, Myrna H., 2001. "Cyclic Games: An Introduction and Some Examples," Games and Economic Behavior, Elsevier, vol. 34(1), pages 138-152, January.
    22. Richard Mckelvey & Thomas Palfrey, 1998. "Quantal Response Equilibria for Extensive Form Games," Experimental Economics, Springer;Economic Science Association, vol. 1(1), pages 9-41, June.
    23. Glazer, Jacob & Rubinstein, Ariel, 1996. "An Extensive Game as a Guide for Solving a Normal Game," Journal of Economic Theory, Elsevier, vol. 70(1), pages 32-42, July.
    24. Maskin, Eric & Tirole, Jean, 1988. "A Theory of Dynamic Oligopoly, II: Price Competition, Kinked Demand Curves, and Edgeworth Cycles," Econometrica, Econometric Society, vol. 56(3), pages 571-599, May.
    25. van Damme, E.E.C., 1984. "A relation between perfect equilibria in extensive form games and proper equilibria in normal form games," Other publications TiSEM 3734d89e-fd5c-4c80-a230-5, Tilburg University, School of Economics and Management.
    26. Rosenthal, Robert W., 1981. "Games of perfect information, predatory pricing and the chain-store paradox," Journal of Economic Theory, Elsevier, vol. 25(1), pages 92-100, August.
    27. Jacqueline Morgan & Vincenzo Scalzo, 2008. "Variational Stability Of Social Nash Equilibria," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 17-24.
    28. Jean-François Mertens, 1991. "Stable Equilibria—A Reformulation. Part II. Discussion of the Definition, and Further Results," Mathematics of Operations Research, INFORMS, vol. 16(4), pages 694-753, November.
    29. Kazuhiro Ohnishi, 2007. "On The Payoff Representations Of Normal Form Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 477-482.
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    More about this item

    Keywords

    Normal form game; extensive form game; non-altruistic equilibrium.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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