On the Existence of Monotone Pure Strategy Equilibria in Bayesian Games
AbstractWe generalize Athey's (2001) and McAdams' (2003) results on the existence of monotone pure strategy equilibria in Bayesian games. We allow action spaces to be compact locally-complete metrizable semilattices and type spaces to be partially ordered probability spaces. Our proof is based upon contractibility rather than convexity of best reply sets. Several examples illustrate the scope of the result, including new applications to multi-unit auctions with risk-averse bidders.
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Bibliographic InfoPaper provided by Becker Friedman Institute for Research In Economics in its series Working Papers with number 2011-001.
Date of creation: Nov 2009
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