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Evolutionarily Stable Coalition Structure

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Nonlinear Dynamics, Psychology, and Life Sciences

Abstract

We analyze the formation and stability of coalitions for a situation where finitely many individuals form different coalitions and their payoffs depend on the consequence of a noncooperative game with different coalitions, and examine the moving path of individuals among various coalitions. Our main finding is to show that there exists at least one evolutionarily stable coalition equilibrium in Γnx.

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REFERENCES

  • Aumann, R. (1959). Acceptable points in general cooperative n-person games. In (Eds.) Contributions to the theory of games IV (pp) Princeton: Princeton University Press.

    Google Scholar 

  • Aumann, R. & Dreze, J. (1974). Cooperative games with coalition structures, International Journal of Game Theory 3, 217–37.

    Google Scholar 

  • Aumann, R. & Myerson, R. (1988). Endogenous formation of links between players and of coalitions: An application of the Shapley value. In A. Roth (Ed.), The Shapley Value: Essays in honor of Llyoyd Shapley (pp. 175–91). Cambridge, U.K.: Cambridge University Press.

    Google Scholar 

  • Bolch, F. (1996). Sequential formation of coalitions in games with externalities and fixed payoff division. Games and Economic Behavior, 1490–123.

    Google Scholar 

  • Bernheim, B., Peleg, B. & Whinston, M. (1987). Coalition-proof Nash equilibria I: Concepts, Journal of Economic Theory, 421–12.

    Google Scholar 

  • Greenberg, J. & Weber, S. (1986). Strong Tiebout equilibrium under restricted preferences domain, Journal of Economic Theory, 38101–117.

    Google Scholar 

  • Hart, S. & Kurz, M. (1983). Endogenous formation of coalitions, Econometrica, 511047–1064.

    Google Scholar 

  • Kurz, M. (1988). Coalition value, in the Shapley value: In A. Roth, (Ed.), Essays in Honor of Llyoyd Shapley (pp. 155–73). Cambridge, U.K.: Cambridge University Press.

    Google Scholar 

  • Moreno, D. & Wooders, J. (1996). Coalition-proof equilibrium. Games and Economic Behavior, 1780–112.

    Google Scholar 

  • Myerson, R. (1978). Threat equilibria and fair settlements in cooperative games. Mathematical Operational Research, 3265–274.

    Google Scholar 

  • Osborne, M. J. & Rubinstein, A. (1994). A course in game theory, Cambridge MA: The MIT Press.

    Google Scholar 

  • Owen, G. (1977). Value of games with a priori unions, In Hein, R. & Moeschlin, O. (Eds.) Essays in Mathematical Economics and Game Theory (pp. 76–88) New York: Springer-Verlag.

    Google Scholar 

  • Shenoy, P. L. (1979). On coalition formation: A game-theoretical approach. International Journal of Game Theory, 8133–164.

    Google Scholar 

  • Tiebout, C. M. (1956). A pure theory of local expenditures, Journal of Political Economy, 64416–424.

    Google Scholar 

  • Weibull, J. W. (1995), Evolutionary game theory. Cambridge MA: The MIT Press.

    Google Scholar 

  • Westhoff, F. (1977). Existence of equilibria in economies with a local public good. Journal of Economic Theory, 1484–112.

    Google Scholar 

Download references

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Ho, S. Evolutionarily Stable Coalition Structure. Nonlinear Dynamics Psychol Life Sci 6, 159–172 (2002). https://doi.org/10.1023/A:1014062211818

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  • DOI: https://doi.org/10.1023/A:1014062211818

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