Majority rule with dollar voting

Part of the Studies in Economic Design book series (DESI)


Consider a majority game in which each player’s voting strength is equal to the player’s payoff. In this game, wealth is the only source of power, and any coalition with more than half the wealth can take everything. Only extreme concentrations of wealth, in which one player owns everything or two players each own half the total wealth are undominated, and thus constitute the core. However, the stable set (von Neumann-Morgenstern solution) is significantly larger. Allocations in which one player has half the wealth, or which divide the total wealth equally among a number of players equal to a power of two, constitute the unique stable set. The stable set thus provides a formal model of an endogenous balance of power.


Majority Rule Dominance Relation Vote Power Internal Stability Noncooperative Game 
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  1. 1.
    Asilis, C., Kahn, C. (1992) Semi-stability in game theory: A survey of ugliness. In: Dutta, B. et al. (eds.) Game Theory and Economic Applications. Springer, Berlin Heidelberg New YorkGoogle Scholar
  2. 2.
    Garfinkel, M., Skaperdas, S. (eds.) (1996) The Political Economy of Conflict and Appropriation. Cambridge University Press, Cambridge Google Scholar
  3. 3.
    Jordan, J. (1999) Pillage and Property. MimeoGoogle Scholar
  4. 4.
    Kohlberg, E., Mertens, J.-F. (1986) On the strategic stability of equilibria. Econometrica 54: 1003–1037CrossRefGoogle Scholar
  5. 5.
    Lucas, W. (1992) Von Neumann-Morgenstern stable sets. In: Aumann, R., Hart, S. (eds.) Handbook of Game Theory. Elsevier Science Publishers B.V., 543–590 Google Scholar
  6. 6.
    Myerson, R. (1991) Game Theory: Analysis of Conflict. Harvard University Press, CambridgeGoogle Scholar
  7. 7.
    Roth, A. (1976) Subsolutions and the supercore of cooperative games. Mathematics of operations research 1: 43–49 Google Scholar
  8. 8.
    Von Neumann, J., Morgenstern, O. (1947) Theory of Games and Economic Behavior. Wiley, New YorkGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.University ParkUSA

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