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 considers rent-seeking games in which a small percentage change in a player's bid has a large percentage impact on her odds of winning, i.e., on the ratio of her respective probabilities of winning and losing. An example is the Tullock contest with a high R. The analysis provides a...

Any symmetric mixed-strategy equilibrium in a Tullock contest with intermediate values of the decisiveness parameter ("2 R ∞") has countably infinitely many mass points. All probability weight is concentrated on those mass points, which have the zero bid as their sole point of accumulation....

This paper studies a large class of imperfectly discriminating contests, referred to as elastic contests, that induce players to either overbid a standing bid or to abstain from bidding altogether. Many common forms of contest are elastic. In any equilibrium of an elastic contest, there is...

Szidarovszky and Okuguchi (Games and Economic Behavior, 1997) have provided useful conditions for the existence of a unique pure-strategy Nash equilibrium in rent-seeking games of complete information. In this paper, we generalize their results to contests with incomplete informa tion. Two...

While the game-theoretic analysis of conflict is often based on the assumption of multiplicative noise, additive noise such as considered by Hirshleifer (1989) may be equally plausible depending on the application. In this paper, we examine the equilibrium set of the n-player difference-form...

In contest models with symmetric valuations, equilibrium payoffs are positive shares of the value of the prize. In contrast to a bargaining situation, these shares sum to less than one because a share of the value is lost due to rent-dissipation. We ask: can every such division into payoff...

This paper analyzes iterated incumbency contests with heterogeneous valuations in a large population setting. Incumbents repeatedly face different challengers, holding on to their positions until defeated in a contest. Defeated incumbents turn into challengers until they win a contest against an...

In imperfectly discriminating contests with symmetric valuations, equilibrium payoffs are positive shares of the value of the prize. In contrast to a bargaining situation, players’ shares sum to less than one because a residual share of the value is lost due to rent dissipation. In this paper,...