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Competitive environments and protective behaviour

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Author Info
Borm, Peter
Estevez-Fernandez, Arantza
Fiestras-Janeiro, M. Gloria (Tilburg University, Center for Economic Research)

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Abstract

The class of two-person competition games is introduced and analyzed. For any game in this class the set of Nash equilibria is convex, equilibrium strategies are exchangeable, and all Nash equilibria lead to the same payoff vector. Competition games are compared to other competitive environments such as unilaterally competitive games and rivalry games. Moreover, protective behaviour within competitive environments is analyzed. For matrix games it is known that protective strategies pro-les exactly correspond to proper equilibria. It is shown that this result can be extended to the class of unilaterally competitive games.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 50.

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Date of creation: 2005
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Handle: RePEc:dgr:kubcen:200550

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Web page: http://center.uvt.nl

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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  1. Kats, Amoz & Thisse, Jacques-Francois, 1992. "Unilaterally Competitive Games," International Journal of Game Theory, Springer, vol. 21(3), pages 291-99.
  2. Roger B. Myerson, 1977. "Refinements of the Nash Equilibrium Concept," Discussion Papers 295, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  3. 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. [Downloadable!] (restricted)
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