Nash proposed an interpretation of mixed strategies as the average pure-strategy play of a population of players randomly matched to play a normal-form game. If populations are finite, some equilibria of the underlying game have no such corresponding 'mass-action' equilibrium. We show that for...

We consider a two-player contest for a prize of common but uncertain value. We show that less resources are spent in equilibrium if one party is privately informed about the value of a prize than if either both agents are informed or neither agent is informed. Furthermore, the uninformed agent...

We study the evolution of an economy where agents who are heterogeneous with respect to risk attitudes can either earn a certain income or enter a risky rent-seeking contest. We assume that agents behave rationally given their preferences, but that the population distribution of preferences...

We consider social contracts for resolving conflicts between two agents who are uncertain about each other's fighting potential. Applications include international conflict, litigation, and elections. Even though only a peaceful agreement avoids a loss of resources, if this loss is small enough,...

We consider rules (strategies, commitments, contracts, or computer programs) that make behavior contingent on an opponent's rule. The set of perfectly observable rules is not well defined. Previous contributions avoid this problem by restricting the rules deemed admissible. We instead limit the...

A hierarchically structured rent-seeking contest may be associated with lower equilibrium expenditure than a corresponding flat contest. In this chapter we discuss how this fact may be used to explain the structure of organizations such as firms, including why firms commonly have outside owners.

We consider contestants who must choose exactly one contest, out of several, to participate in. We show that when the contest technology is of a certain type, or when the number of contestants is large, a self-allocation equilibrium, i.e., one where no contestant would wish to change his choice...

During the past two centuries, western nations have successively extended the voting franchise to citizens of lower income. We explain this process of democratization as a rational way for incumbent elites to wage war effectively on other nations, as in a strategic game of international conflict...

Manufacturers frequently resist heavy discounting of their products by retailers. Since low prices should increase demand and manufacturers could simply refuse to fund deep price promotions, such resistance is puzzling at first sight. We develop a model in which price promotions cause shoppers...

We analyze firms' incentives to coordinate on the introduction of a sustainable product variant when consumers' preferences for sustainability depend on the perceived social norm, which in turn is shaped by average consumption behavior. We show that such preferences could lead to multiple...