This paper considers all-pay contests in which the relationship between bids and allocation reflects a small amount of noise. Prior work had focused on one particular equilibrium. However, there may be other equilibria. To address this issue, we introduce a new and intuitive measure for the...

This paper constructs a novel equilibrium in the chopstick auction of Szentes and Rosenthal (Games and Economic Behavior, 2003a, 2003b). In contrast to the existing solution, the identified equilibrium strategy allows a simple and intuitive characterization. Moreover, its best-response set has...

This paper studies fictitious play in networks of noncooperative two-player games. We show that continuous-time fictitious play converges to Nash equilibrium provided that the overall game is zero-sum. Moreover, the rate of convergence is 1/T , regardless of the size of the network. In contrast,...

It is shown that the n-player lottery contest admits a best-response potential (Voorneveld, 2000, Economics Letters). This is true also when the contest technology reflects the possibility of a draw. The result implies, in particular, the existence of a nontrivial example of a strictly...

It is shown that the equilibrium in the asymmetric Tullock contest is unique for parameter values r È 2. This allows proving a revenue ranking result saying that a revenue-maximizing designer capable of biasing the contest always prefers a contest technology with higher accuracy.

This paper considers all-pay contests in which the relationship between bids and allocations reflects a small amount of noise. Prior work had focused on one particular equilibrium. However, there may be other equilibria. To address this issue, we introduce a new and intuitive measure for the...

While smooth exact potential games are easily characterized in terms of the cross-derivatives of players' payoff functions, an analogous differentiable characterization of ordinal or generalized ordinal potential games has been elusive for a long time. In this paper, it is shown that the...

We model the financial cooperative as an optimal institution sharing liquidity risks among agents with social preference and group identity. Stronger social concerns imply objectively better (worse) conditions for borrowers (depositors). Testing the model, we find that, indeed, deposit and loan...

In the class of smooth non-cooperative games, exact potential games and weighted potential games are known to admit a convenient characterization in terms of cross-derivatives (Monderer and Shapley, 1996a). However, no analogous characterization is known for ordinal potential games. The present...

We consider a class of incomplete-information Colonel Blotto games in which N Ï 2 agents are engaged in (N + 1) battlefields. An agent's vector of battlefield valuations is drawn from a generalized sphere in Lp-space. We identify a Bayes-Nash equilibrium in which any agent's resource allocation...