In this paper, we characterise the compromise value of a game as the barycentre of the edges of its core cover. For this, we introduce the τ* value, which extends the adjusted proportional rule for bankruptcy situations and coincides with the compromise value on a large class of games....

In this paper, we characterise the compromise value of a game as the barycentre of the edges of its core cover. For this, we introduce the τ* value, which extends the adjusted proportional rule for bankruptcy situations and coincides with the compromise value on a large class of games....

In this paper we bring a novel approach to the theory of tournament rankings. We combine two different theories that are widely used to establish rankings of populations after a given tournament. First, we use the statistical approach of paired comparison analysis to define the performance of a...

Bulow and Levin’s (<CitationRef CitationID="CR3">2006</CitationRef>) “Matching and Price Competition” studies a matching model in which hospitals compete for interns by offering wages. We relax the assumption of symmetric linear costs and compare the pricing equilibrium that results to the firm-optimal competitive equilibrium. With...</citationref>

Stakes affect aggregate performance in a wide variety of settings. At the individual level, we define the critical ability as an agent's ability to adapt performance to the importance of the situation. We identify individual critical abilities of professional tennis players, relying on...

In this paper we present an axiomatic analysis of several ranking methods for general tournaments. We find that the ranking method obtained by applying maximum likelihood to the (Zermelo-)Bradley-Terry model, the most common method in statistics and psychology, is one of the ranking methods that...

repeated anonymous random matching setting. It is well known that, if the stage-game is the prisoner's dilemma, cooperation can be supported in equilibrium through grim trigger, also called 'community enforcement' or contagion in this setting. But, little is known about sustaining cooperation in...

The main goal of this paper is to understand the reasons driving the coincidence of different allocation rules for different classes of games. We define a new symmetry property, reverse symmetry, and study its geometric and game theoretic implications. In particular, we show that most classic...