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Absolute optimal solution for a compact and convex game

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  • Nessah, Rabia
  • Tazdaı¨t, Tarik

Abstract

This paper investigates the existence of absolute optimal solutions for a partition P in continuous and quasiconcave games. We show that the P-consistency property introduced in the paper, together with the quasiconcavity and continuity of payoffs, permits the existence of P-absolute optimal solutions in games with compact and convex strategy spaces. The P-consistency property is a general condition that cannot be dispensed with for the existence of P-absolute optimal solutions. We also characterize the existence of P-absolute optimal solutions by providing necessary and sufficient conditions. Moreover, we suggest an algorithm for efficiently computing P-absolute optimal solutions.

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Bibliographic Info

Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 224 (2013)
Issue (Month): 2 ()
Pages: 353-361

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Handle: RePEc:eee:ejores:v:224:y:2013:i:2:p:353-361

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Web page: http://www.elsevier.com/locate/eor

Related research

Keywords: n-Person game; Multiple objectives game; Strong equilibrium; Absolute optimal solution;

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