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Cournot tatonnement and Nash equilibrium in binary status games

Author

Listed:
  • Nikolai S. Kukushkin

    () (Moscow Institute of Physics and Technology, Russia)

  • Pierre von Mouche

    () (Wageningen University, The Netherlands)

Abstract

We study a rather simplified game model of competition for status. Each player chooses a scalar variable (say, the level of conspicuous consumption), and then those who chose the highest level obtain the "high" status, while everybody else remains with the "low" status. Each player strictly prefers the high status, but they also have intrinsic preferences over their choices. The set of all feasible choices may be continuous or discrete, whereas the strategy sets of different players can only differ in their upper and lower bounds. The resulting strategic game with discontinuous utilities does not satisfy the assumptions of any general theorem known as of today. Nonetheless, the existence of a (pure strategy) Nash equilibrium, as well as the "finite best response improvement property," are established.

Suggested Citation

  • Nikolai S. Kukushkin & Pierre von Mouche, 2018. "Cournot tatonnement and Nash equilibrium in binary status games," Economics Bulletin, AccessEcon, vol. 38(2), pages 1038-1044.
  • Handle: RePEc:ebl:ecbull:eb-18-00095
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    References listed on IDEAS

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    Cited by:

    1. Kukushkin, Nikolai S., 2019. "Equilibria in ordinal status games," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 130-135.

    More about this item

    Keywords

    status game; Cournot tatonnement; Nash equilibrium;

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D1 - Microeconomics - - Household Behavior

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