Equilibria in a class of games and topological results implying their existence

Simon, Robert Samuel; Spież, Stanisław; and Torunczyk, Henryk (2008) Equilibria in a class of games and topological results implying their existence. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 102 (1). pp. 161-179. ISSN 1578-7303
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We survey results related to the problem of the existence of equilibria in some classes of infinitely repeated two-person games of incomplete information on one side, first considered by Aumann, Maschler and Stearns. We generalize this setting to a broader one of principal-agent problems. We also discuss topological results needed, presenting them dually (using cohomology in place of homology) and more systematically than in our earlier papers.

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