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Protective behavior in games

Author

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  • Fiestras-Janeiro, G.
  • Borm, P.E.M.

    (Tilburg University, School of Economics and Management)

  • van Megen, F.J.C.

Abstract

This paper introduces the notion of protective equilibrium in the context of fin ite games in strategic form.It shows that for matrix games the set of protective equilibria equals the set of proper equilibria.Moreover, in the context of bima trix games, the notion of protective behaviour is used as a refinement tool.
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Suggested Citation

  • Fiestras-Janeiro, G. & Borm, P.E.M. & van Megen, F.J.C., 1998. "Protective behavior in games," Other publications TiSEM 92723c0f-5357-4985-9733-c, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:92723c0f-5357-4985-9733-c0a7ceb6762d
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    References listed on IDEAS

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    1. Jos A. M. Potters & Stef H. Tijs, 1992. "The Nucleolus of a Matrix Game and Other Nucleoli," Mathematics of Operations Research, INFORMS, vol. 17(1), pages 164-174, February.
    2. Moulin, Herve, 1981. "Prudence versus sophistication in voting strategy," Journal of Economic Theory, Elsevier, vol. 24(3), pages 398-412, June.
    3. Barberà, S. & Dutta, B., 1995. "Protective behavior in matching models," Games and Economic Behavior, Elsevier, vol. 8(2), pages 281-296.
    4. Borm, P.E.M., 1992. "On perfectness concepts for bimatrix games," Other publications TiSEM 9652c2b4-b09f-4c05-846a-3, Tilburg University, School of Economics and Management.
    5. Barbara, Salvador & Jackson, Matthew, 1988. "Maximin, leximin, and the protective criterion: Characterizations and comparisons," Journal of Economic Theory, Elsevier, vol. 46(1), pages 34-44, October.
    6. Borm, P.E.M. & Jansen, M.J.M. & Potters, J.A.M. & Tijs, S.H., 1993. "On the structure of the set of perfect equilibria in bimatrix games," Other publications TiSEM 5a4170b8-1cb6-416f-b944-e, Tilburg University, School of Economics and Management.
    7. Barbera, Salvador & Dutta, Bhaskar, 1982. "Implementability via protective equilibria," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 49-65, June.
    8. Jansen, Mathijs, 1993. "On the Set of Proper Equilibria of a Bimatrix Game," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(2), pages 97-106.
    9. Potters, J.A.M. & Tijs, S.H., 1992. "The nucleolus of a matrix game and other nucleoli," Other publications TiSEM ae3402e7-bd19-494b-b0a1-f, Tilburg University, School of Economics and Management.
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    Cited by:

    1. Vincent Merlin & Jörg Naeve, 2000. "Implementation of Social Choice Functions via Demanding Equilibria," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 191/2000, Department of Economics, University of Hohenheim, Germany, revised 25 Sep 2001.
    2. 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.
    3. Naeve, Jorg, 2000. "Maximax, leximax, and the demanding criterion," Mathematical Social Sciences, Elsevier, vol. 40(3), pages 313-325, November.

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