Absolute optimal solution for a compact and convex game |
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Authors: | Rabia Nessah Tarik Tazdaı¨t |
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Institution: | 1. IESEG School of Management, CNRS-LEM, UMR 8179, 3 rue de la Digue, 59000 Lille, France;2. CNRS, EHESS, Ecole des Ponts ParisTech, CIRED, UMR 8568, Campus du Jardin Tropical, 45 bis, Av. de la Belle Gabrielle, 94736 Nogent sur Marne Cedex, France |
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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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Keywords: | n-Person game Multiple objectives game Strong equilibrium Absolute optimal solution |
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