Absolute optimal solution for a compact and convex game

Rabia Nessah () and Tazdaı¨t, Tarik
Authors registered in the RePEc Author Service: Tarik Tazdaït

European Journal of Operational Research, 2013, vol. 224, issue 2, 353-361

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.

Keywords: n-Person game; Multiple objectives game; Strong equilibrium; Absolute optimal solution (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (7)

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Related works:
Working Paper: Absolute optimal solution for a compact and convex game (2013)
Working Paper: Absolute Optimal Solution For a Compact and Convex Game (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:224:y:2013:i:2:p:353-361

DOI: 10.1016/j.ejor.2012.08.013

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