The symmetric two-player Hirshleifer (1989) contest is shown to admit a unique equilibrium. The support of the equilibrium strategy is finite and includes, in particular, the zero expenditure level. We also establish a lower bound for the cardinality of the support and an upper bound for the...

This paper extends the recent literature on equilibria with coordination failures to arbitrary convex sets of admissible prices. We introduce a new equilibrium concept, called quantity constrained equilibrium (QCE), giving a unified treatment to all cases considered in the literature so far. At...

This note provides sufficient conditions for the existence of equilibrium in a class of extended Bayesian persuasion models. We consider a framework in which a single sender discloses public information to n receivers. After observing the sender’s signal, the receivers update their beliefs to...