International audienceStakes 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 point-level data from twelve years of the US Open tournament. We establish persistent heterogeneity in critical abilities. We find a significant statistical relationship between identified critical abilities and overall career success, which validates the identification procedure and suggests that response to pressure is a significant factor for success
Page 114, Figure 3.3.5 b): The entry in the position (2, 1) of the table, corresponding to the strategy profile (MH, MM), should be (65, 75) instead of (75, 65).
We model the role of commitment in noncooperative games by means of what we call unilateral commitments. We study their impact within the framework of repeated games with complete information. To do so, we revisit the main folk theorems for repeated games with complete information and check up to what extent the assumptions needed in the classic models can be relaxed in the model with unilateral commitments.
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 player in a natural way. Then, we determine a ranking (and rating) of the players in the given tournament. Finally, we show, among other properties, that the new ranking method is the unique one satisfying a natural consistency requirement.
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