The effects of the three-point rule in first league German soccer are tested empirically and compared to games from the German cup-competition. The inclusion of cup games ensures that changes in league games can be attributed to the three-point rule. As a result of their relative devaluation,...

Unique-lowest sealed-bid auctions are auctions in which participation is endogenous and the winning bid is the lowest bid among all unique bids. Such auctions admit very many Nash equilibria (NEs) in pure and mixed strategies. The two-bidders' auction is similar to the Hawk-Dove game, which...

The effects of the three-point rule in first league German soccer are tested empirically and compared to games from the German cup-competition. The inclusion of cup games ensures that changes in league games can be attributed to the three-point rule. As a result of their relative devaluation,...

We generalize the Tullock Contest Success Function to allow for ties by introducing a tie-proneness parameter to account for the degree of the importance of ties in the contest. The probability of a tie reaches a maximum when the contestants provide similar efforts and it is increasing in the...

The optimal contest architecture for symmetric imperfectly discriminating contests is shown to be generically the two-stage tournament (rather than the one-stage contest). In the first stage the contestants compete in several parallel divisions for the right to participate in the second stage....

There are at least two reasons why multiple prizes can be optimal in symmetric imperfectly discriminating contests. First, the introduction of multiple prizes reduces the standard deviation of contestants' effort in asymmetric equilibria, when the majority of contestants actively participate in...

Mixed-strategy Nash equilibrium (MSNE) is a commonly-used solution concept in game-theoretic models in various fields in economics, management, and other disciplines, but the experimental results whether the MSNE predicts well actual play in games is mixed. Consequently, evidence for...

The main drawback of the public-policy contest is that the notion of contest success function, a crucial component of the contest model, does not have micro-foundations and, therefore, the random behavior of the government seems ad-hoc. In the present paper we propose a partial micro-foundation...

The main drawback of the public-policy contest is that the notion of contest success function, a crucial component of the contest model, does not have micro-foundations and, therefore, the random behavior of the government seems ad-hoc. In the present paper we propose a partial micro-foundation...

This survey presents in a historical way the main contributions to the hardcore theory of aggregative games and the applications of this model to several fields of economics, other social sciences and engineering