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An explicit bound on e for non-emptiness of the e-core of an arbitrary game with side payments

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  • Alexander Kovalenkov
  • Myrna Holtz Wooders

Abstract

We introduce the concept of a parameterized collection of games with side payments and determine a bound on e so that all sufficiently large games in such a collection have non-empty e -cores. A parameterized collection of games is described by (a) the number of approximate player types and the accuracy of this approximation, (b) the size of approximately effective small groups, and (c) the size of the bound on maximal per capita payoffs achievable in coalitions. An explicit relationship between the required size of e the parameters describing the collection and the number of players in the game under consideration is established. Given the parameters, the larger the number of players in a game, the smaller the e that can be chosen.

Suggested Citation

  • Alexander Kovalenkov & Myrna Holtz Wooders, 1997. "An explicit bound on e for non-emptiness of the e-core of an arbitrary game with side payments," Working Papers mwooders-98-05, University of Toronto, Department of Economics.
    • Handle: RePEc:tor:tecipa:mwooders-98-05
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    References listed on IDEAS

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    More about this item

    Keywords

    cooperative games; games with side payments (TU games); approximate cores; effective small groups; parametrized collections of games.;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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