Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
480131 | European Journal of Operational Research | 2013 | 9 Pages |
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.
► We examine the existence of absolute optimal solutions for a partition P. ► We present sufficient conditions. ► We characterize the existence of P-absolute optimal. ► Procedure of computing of P-absolute optimal solutions is developed.