This paper studies the existence of equilibrium solution concepts in a large class of economic models with discontinuous payoff functions. The issue is well understood for Nash equilibria, thanks to Reny’s better-reply security con- dition ( Reny 1999) and its recent improvements (Barelli and...

This paper provides a different approach to establish the uniqueness of equilibrium in Tullock con- tests between two players with asymmetric valuations, when the discriminatory power r is between 1 and 2. Our result complements that of Ewerhart (2017) in Ölling up the remaining gap in the...

Using two-player all-pay auctions, the author fully characterizes the Nash equilibrium under a discrete bidding strategy space. In particular, he shows that under the random tiebreaking rule, the cardinality of the set of Nash equilibrium depends on the parity of the reward size and a continuum...