Multi-battle competitions are ubiquitous in real life. In this paper, we examine the effort-maximizing reward design in sequentially played multi-battle competitions. The organizer has a fixed prize budget, and rewards players contingent on the number of battles they win in a three-battle...

We establish the existence and uniqueness of pure-strategy equilibrium in two-worker rank order contests with sabotage while allowing interdependent effects of productive and sabotage effort. We find that diverging marginal costs in workers' productive effort discourage sabotage activity. For...

We study optimal dynamic selling mechanisms in a two-stage model where the buyer can search for a better price at the second stage. When this outside price is public, the optimal selling mechanism takes the form of a fixed first-stage price with price matching in the second stage. In contrast,...

We investigate optimal favoritism using identity-contingent prizes in a two-player Tullock model. Besides the usual balance effect, prize allocation has an extra efficiency effect: One additional unit of prize tends to induce more effort, if it is used as the winning prize for the stronger...

In this paper, we compare two procedures for allocating a sequence of fixed prizes in multi-stage nested Tullock contests, in which the number of prizes equals the number of contestants. In a winner-leave (loser-leave) procedure, in each stage, the prizes of the stage are allocated to winners...

This paper proposes a multi-prize "reverse" nested lottery contest model, which can be viewed as the "mirror image" of the conventional nested lottery contest of Clark and Riis (1996a). The reverse-lottery contest model determines winners by selecting losers based on contestants' one-shot effort...

Multiple prizes are usually awarded in contests (e.g., internal promotions, school admissions, sports, etc), and players exert effort to increase their chances for winning a higher prize. A multi-prize contest model must provide each player's probabilities of winning each prize as functions of...

Multiple prizes are usually awarded in contests (e.g., internal promotions, school admissions, sports, etc.) and players exert effort to increase their chances for winning a higher prize. A multi-prize contest model must provide each player's probabilities of winning each prize as functions of...

In this paper, we identify a set of axioms that is necessary and sufficient for axiomatizing the reverse nested lottery contest proposed by Fu, Lu and Wang (2014), which is the "mirror image" of the conventional nested lottery contest of Clark and Riis (1996). This paper thus provides an...

Estimating bidders' risk aversion in auctions is a challenging problem because of identification issues. This paper takes advantage of bidding data from two auction designs to identify nonparametrically the bidders' utility function within a private value framework. In particular, ascending...