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(∊,k)EQUILIBRIA AND WELL-POSEDNESS

Author

Listed:
  • MARCO MARGIOCCO

    (Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146 Genova, Italy)

  • LUCIA PUSILLO

    (Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146 Genova, Italy)

Abstract

The aim of this paper is to discuss a new concept of well-posedness for non cooperative games. Starting from the definition of(∊,k)equilibrium as the point where every player either guarantees at leastkor he (she) does not lose more than ∊, we introduce an original definition of well-posedness. We study characterizations of this well-posedness and its relations with the more known Tikhonov well-posedness. We prove that this well-posedness is an ordinal property if the payoff functions are bounded from below.

Suggested Citation

  • Marco Margiocco & Lucia Pusillo, 2006. "(∊,k)EQUILIBRIA AND WELL-POSEDNESS," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 33-44.
    • Handle: RePEc:wsi:igtrxx:v:08:y:2006:i:01:n:s0219198906000771
    DOI: 10.1142/S0219198906000771
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    More about this item

    Keywords

    Well-posedness; approximate equilibria; non cooperative games; Subject Classification: 91A10;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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