Duality for Equilibrium Problems

I. V. Konnov, Siegfried Schaible · RePEc: Research Papers in Economics · 1998

Duality is studied for an abstract equilibrium problem which generalizes several classical problems including models in optimization and variational problems. Following different schemes, various duals are proposed and primal-dual relationships are established under certain generalized convexity and generalized monotonicity assumptions. In this primal-dual setting, existence results for a solution of the primal equilibrium problem are derived for each duality scheme.

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