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The Tennis Coach Problem: A Game-Theoretic and Experimental Study
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Ayala Arad
Published/Copyright:
April 23, 2012
The paper introduces a new allocation game, related to Blotto games: each tennis coach assigns his four different skilled players to four positions, and then each team plays all other teams in the tournament. The winning team is the one with the highest total score.The set of equilibria is characterized and experimental behavior in variants of the game is analyzed in light of an adapted level-k model which is based on an appealing specification of the starting point (Level-0). The results exhibit a systematic pattern- a majority of the subjects used a small number of strategies. However, although level-k thinking is naturally specified in this context, only a limited use of (low) level-k thinking was found. These findings differ from those obtained in previous studies, which found high frequencies of level-k reasoning among subjects in various games. Thus, the results illuminate some bounds of the level-k approach.
Published Online: 2012-4-23
©2012 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
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Keywords for this article
level-k thinking;
tennis coach problem;
experimental game theory;
colonel Blotto
Articles in the same Issue
- Advances Article
- Seller Cheap Talk in Almost Common Value Auction
- Strategic Effects of Renegotiation-Proof Contracts
- Contributions Article
- Uniquely Representing "A Preference for Uniformity"
- An Experimental Comparison of Sequential First- and Second-Price Auctions with Synergies
- Transparency, Career Concerns, and Incentives for Acquiring Expertise
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- Two Notes on the Blotto Game
- The Tennis Coach Problem: A Game-Theoretic and Experimental Study
- Multidimensional Product Differentiation with Discrete Characteristics
- Screening and Financial Contracting in the Face of Outside Competition
- On Rationalizability and Beliefs in Discrete Private-Value First-Price Auctions
- Commitment versus Flexibility in Enforcement Games
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