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Nash equilibria of games with monotonic best replies

  • Filippo L. Calciano
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    We introduce notions of increasingness for the best reply of a game that capture properly the intuitive idea of complementarity among players’ strategies. We show, by generalizing the fixpoint theorems of Veinott and Zhou, that the Nash sets of our games with increasing best replies are nonempty complete lattices. Hence we extend the class of games with strategic complementarities.

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    Paper provided by Department of Economics - University Roma Tre in its series Departmental Working Papers of Economics - University 'Roma Tre' with number 0108.

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    Length: 14
    Date of creation: 2009
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    Handle: RePEc:rtr:wpaper:0108
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    1. Zhou Lin, 1994. "The Set of Nash Equilibria of a Supermodular Game Is a Complete Lattice," Games and Economic Behavior, Elsevier, vol. 7(2), pages 295-300, September.
    2. CALCIANO, Filippo L., 2007. "Games with complementarities," CORE Discussion Papers 2007016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January.
    4. Vives, X., 1988. "Nash Equilibrium With Strategic Complementarities," UFAE and IAE Working Papers 107-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    5. Elena Antoniadou, 2007. "Comparative Statics for the Consumer Problem," Economic Theory, Springer, vol. 31(1), pages 189-203, April.
    6. Vives, Xavier, 2004. "Complementarities and Games: New Developments," CEPR Discussion Papers 4742, C.E.P.R. Discussion Papers.
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