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HOW TO PLAY GAMES? NASH VERSUS BERGE BEHAVIOUR RULES

Published online by Cambridge University Press:  19 February 2015

Pierre Courtois ,
Rabia Nessah  and
Tarik Tazdaït
Pierre Courtois
Affiliation:
INRA, UMR 1135 LAMETA, 2 place Viala, F-34000 Montpellier, France. Email: [email protected]. URL: https://sites.google.com/site/pmccourtois/.
Rabia Nessah
Affiliation:
IESEG, School of Management, UMR 8179 LEM, 3 rue de la Digue, F-59000 Lille, France. Email: [email protected]
Tarik Tazdaït
Affiliation:
CNRS, EHESS, Ecole des Ponts ParisTech, UMR 8568 CIRED, 45 bis avenue de la Belle Gabrielle, F-94000 Nogent sur Marne, France. Email: [email protected]
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Abstract:

Assuming that in order to best achieve their goal, individuals adapt their behaviour to the game situation, this paper examines the appropriateness of the Berge behaviour rule and equilibrium as a complement to Nash. We define a Berge equilibrium and explain what it means to play in this fashion. We analyse the rationale of individuals playing in a situational manner, and establish an operational approach that describes the circumstances under which the same individual might play in one fashion versus another.

Keywords

Berge equilibriumMoral principlesMutual supportSituational decision making
Type
Articles
Information
Economics & Philosophy , Volume 31 , Issue 1 , March 2015 , pp. 123 - 139
Copyright
Copyright © Cambridge University Press 

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References

REFERENCES

Abalo, K. and Kostreva, M.. 2004. Some existence theorems of Nash and Berge Equilibria. Applied Mathematics Letters 17: 569–573.CrossRefGoogle Scholar
Abalo, K. and Kostreva, M.. 2005. Berge Equilibrium: some results from fixed-point theorems. Applied Mathematics and Computation 169: 624–638.CrossRefGoogle Scholar
Aumann, R. 1960. Acceptable points in games of perfect information. Pacific Journal of Mathematics 10: 381–417.CrossRefGoogle Scholar
Berge, C. 1957a. Théorie Générale des Jeux à n-Personnes [General Theory of n-person Games]. Paris: Gauthier Villars.Google Scholar
Berge, C. 1957b. Topological games with perfect information. In Contributions to the Theory of Games, Volume III, ed. Dresher, M., Tucker, A. W. and Wolfe, P., 165–178. Princeton, NJ: Princeton University Press.Google Scholar
Berscheid, E. and Walster, E. H.. 1978. Interpersonal Attraction. 2nd edn.Reading, MA: Addison-Wesley.Google Scholar
Brennan, G. and Hamlin, A.. 2000. Democratic Devices and Desires. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Brennan, G. and Hamlin, A.. 2008. Revisionist public choice theory. New Political Economy 13: 77–88.CrossRefGoogle Scholar
Brennan, G. and Pettit, P.. 2000. The hidden economy of esteem. Economics and Philosophy 16: 77–98.CrossRefGoogle Scholar
Colman, A., Körner, T., Musy, O. and Tazdaït, T.. 2011. Mutual support in games: some properties of Berge Equilibria. Journal of Mathematical Psychology 55: 166–175.CrossRefGoogle Scholar
Eckel, C. and Gintis, H.. 2010. Blaming the messenger: notes on the current state of experimental economics. Journal of Economic Behavior and Organization 73: 109–119.Google Scholar
Edgeworth, F. Y. 1893 [1997]. Mathematical Psychics: An Essay on the Application of Mathematics to the Moral Sciences. London: Kegan Paul.Google Scholar
Fischbacher, U., Gachter, S. and Fehr, E.. 2001. Are people conditionally cooperative? Evidence from a public goods experiment. Economics Letters 71: 397–404.CrossRefGoogle Scholar
Gauthier, D. P. 1986. Morals by Agreement. Oxford: Oxford University Press.Google Scholar
Henrich, J., Boyd, R., Bowles, S., Camerer, C., Fehr, E. and Gintis, H.. 2004. Foundations of Human Sociality: Economic Experiments and Ethnographic Evidence from Fifteen Small Scale Societies. Oxford: Oxford University Press.Google Scholar
Kenny, D. A., Mohr, C. D. and Levesque, M. J.. 2001. A social relations variance partitioning of dyadic behavior. Psychological Bulletin 127: 128–141.Google Scholar
Larbani, M. and Nessah, R.. 2008. A note on the existence of Berge and Berge-Nash Equilibria. Mathematical Social Sciences 55: 258–271.CrossRefGoogle Scholar
Luce, R. D. and Raifa, H.. 1957. Games and Decisions. New York, NY: Wiley.Google Scholar
Messick, D. M. and Brewer, M. B.. 1983. Solving social dilemmas: a review. Review of Personality and Social Psychology 4: 11–44.Google Scholar
Mischel, W. and Shoda, Y.. 1995. A cognitive-affective system theory of personality: reconceptualizing situations, dispositions, dynamics, and the invariance in personality structure. Psychological Review 102: 246–268.Google Scholar
Murray, S. L., Holmes, J. G., and Collins, N. L.. 2006. Optimizing assurance: the risk regulation system in relationships. Psychological Bulletin 132: 641–666.Google Scholar
Musy, O., Pottier, A. and Tazdaït, T.. 2012. A new theorem to find Berge Equilibria. International Game Theory Review 14: Art. 1250005.CrossRefGoogle Scholar
Nessah, R., Larbani, M. and Tazdaït, T.. 2007. A note on Berge Equilibrium. Applied Mathematics Letters 20: 926–932.Google Scholar
Peck, J. E. L. 1960. Berge Claude: Théorie Générale à n Personnes. Zentralblatt für Mathematik 82: 347–348.Google Scholar
Pettit, P. 2005. Construing Sen on commitment. Economics and Philosophy 21: 15–32.CrossRefGoogle Scholar
Pottier, A and Nessah, R.. 2014. Berge-Vaisman and Nash Equilibria: transformation of games. International Game Theory Review forthcoming.Google Scholar
Rasmussen, E. 2007. Games and Information. 4th edn.Oxford: Basil Blackwell.Google Scholar
Reis, T. 2008. Reinvigorating the concept of situation in social psychology. Personality and Social Psychology Review 12: 311–329.CrossRefGoogle ScholarPubMed
Shubik, M. 1961. Review of Claude Berge, The General Theory of n-Person Games. Econometrica 29: 821.Google Scholar
Van Mechelen, I. and De Raad, B.. 1999. Editorial: Personality and Situations. European Journal of Personality 13: 333–336.3.0.CO;2-O>CrossRefGoogle Scholar
Vanberg, V. 2008. On the economics of moral preferences. American Journal of Economics and Sociology 67: 605–628.Google Scholar
Zan, B and Hildebrandt, C.. 2005. Cooperative and competitive games in constructivist classrooms. The Constructivist 16: 1–13.Google Scholar
Zhukovskii, V. I. 1985. Some problems of non-antagonistic differential games. In Matematiceskie Metody v Issledovanii Operacij [Mathematical Methods in Operations Research], ed. Kenderov, P., 103–195. Sofia: Bulgarian Academy of Sciences.Google Scholar
Zhukovskii, V. I. and Tchikrii, A. A.. 1994. Lineino-Kvadratichnye Differentsial’nye Igry [Linear-Quadratic Differential Games]. Kiev: Naoukova Doumka.Google Scholar