This paper analyzes incumbency contests 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 incumbent, thereby regaining an...

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,...

A multi-stage model on the course of war is presented: Individual battles are modeled as private value all-pay auctions with asymmetric combatants of two opposing teams. These auctions are placed within a multi-stage framework with a tug-of-war structure. Such framing provides a microfounded...

This paper analyzes a discriminatory share auction in which bidders submit non-increasing step functions with a bounded number of steps, the type space consists of private non-increasing marginal valuation functions, and the number of participants is random. I show that the interim utility can...

This paper analyzes risk aversion in discriminatory share auctions. I generalize the k‐step share auction model of Kastl (2011, 2012) and establish that marginal profits are set‐identified for any given coefficient of constant absolute risk aversion. I also derive necessary conditions for...

This paper analyzes a tug of war contest between two teams. In each round of the tug of war a pair of agents from the opposing teams competes in a private value all-pay auction with asymmetric type distributions and effort effectiveness. Whichever team arrives first at a given lead in terms of...