We study how subjects in an experiment use different forms of public information about their opponents' past behavior. In the absence of public information, subjects appear to use rather detailed statistics summarizing their private experiences. If they have additional public information, they...

Any function from a non-empty polytope into itself that is locally gross direction preserving is shown to have the fixed point property. Brouwer's fixed point theorem for continuous functions is a special case. We discuss the application of the result in the area of non-cooperative game theory.

From the regulation of sports to lawmaking in parliament, in many situations one group of people ("agents") make decisions that affect the payoffs of others ("principals") who may offer action-contingent transfers in order to sway the agents' decisions. Prat and Rustichini (2003) characterize...