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On Properness and Protectiveness in Two-Person Multicriteria Games

Author

Listed:
  • M. Quant

    (Tilburg University)

  • P. Borm

    (Tilburg University)

  • G. Fiestras-Janeiro

    (Universidade de Vigo)

  • F. Megen

    (Tilburg University)

Abstract

This paper extends the concepts of proper equilibria, protective behavior and prudent behavior to multicriteria games. Three types of proper equilibria based on different types of domination are introduced. It is shown that protective behavior coincides with prudent behavior. Possible relations and existence are analyzed.

Suggested Citation

  • M. Quant & P. Borm & G. Fiestras-Janeiro & F. Megen, 2009. "On Properness and Protectiveness in Two-Person Multicriteria Games," Journal of Optimization Theory and Applications, Springer, vol. 140(3), pages 499-512, March.
    • Handle: RePEc:spr:joptap:v:140:y:2009:i:3:d:10.1007_s10957-008-9464-5
    DOI: 10.1007/s10957-008-9464-5
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    References listed on IDEAS

    as
    1. Fiestras-Janeiro, G. & Borm, P.E.M. & van Megen, F.J.C., 1996. "Protective Behavior in Games," Other publications TiSEM 0f0d5aed-021d-45d8-9776-0, Tilburg University, School of Economics and Management.
    2. Borm, P.E.M. & Tijs, S.H. & van den Aarssen, J.C.M., 1988. "Pareto equilibria in multiobjective games," Other publications TiSEM a02573c0-8c7e-409d-bc75-0, Tilburg University, School of Economics and Management.
    3. Zhao, Jingang, 1991. "The Equilibria of a Multiple Object Game," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(2), pages 171-182.
    4. Peter Borm & Freek van Megen & Stef Tijs, 1999. "A perfectness concept for multicriteria games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 49(3), pages 401-412, July.
    5. L. S. Shapley & Fred D. Rigby, 1959. "Equilibrium points in games with vector payoffs," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 6(1), pages 57-61, March.
    6. ZHAO, Jingang, 1991. "The equilibria of a multiple objective game," LIDAM Reprints CORE 987, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Fiestras-Janeiro, Gloria & Borm, Peter & van Megen, Freek, 1998. "Protective and Prudent Behaviour in Games," Journal of Economic Theory, Elsevier, vol. 78(1), pages 167-175, January.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Multicriteria games; Proper behavior; Protective behavior; Prudent behavior;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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