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An Explicit Bound On epsilon for Non-Emptiness of the epsilon-Core of an Arbitrary Game Without Side Payments

Author

Listed:
  • Kovalenkov, A.
  • Holtz Wooders, M.

Abstract

We consider parameterized collections of games without side payments and determine a bound on epsilon so that all sufficiently large games in the collection have non-empty epsilon-cores. The required size of epsilon depends on: (a)the number of approximate player types and the accuracy of this approximation; (b) the size of approximately effective small groups; (c) the size of the bound on maximal per capita payoffs achievable in coalitions; and (d) a measure on the extent to which the payoff sets of the game are bounded away from being "flat".

Suggested Citation

  • Kovalenkov, A. & Holtz Wooders, M., 1997. "An Explicit Bound On epsilon for Non-Emptiness of the epsilon-Core of an Arbitrary Game Without Side Payments," UFAE and IAE Working Papers 394.97, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    • Handle: RePEc:aub:autbar:394.97
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    More about this item

    Keywords

    GAME THEORY;

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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