Supplement to "Toward a Strategic Foundation for Rational Expectations Equilibrium"

The proof of the main result in Reny and Perry (2006) is provided here. We also provide an example in which the best reply to nondecreasing bidding functions fails to be nondecreasing, and we show how to approximate a degenerate density by one that satis?es the assumptions in Reny and Perry (2006). Finally, we establish that Reny and Perry?s (2006) main result continues to hold when the notion of genericity is changed from the topological notion of residual sets to the measure-motivated notion of prevalent sets.

Supplemental Authors: 
Philip J. Reny Motty Perry