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This article explores the standard 2-team model of talent choice in a professional sports league and argues that the application of Nash concepts leads to a different equilibrium than that which is normally identified. In particular, it is shown that the invariance principle for gate-revenue sharing no longer holds. Because the standard model, which is here called the Walrasian fixed-supply conjecture model, is widely taught in sports management and economics programs, these finding have important implications for teachers as well as researchers.
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Stefan Szymanski (2004) studied this question.
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