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Is parity good? Externalities in professional sports
Institution:1. Department of Clinical Medicine, Aalborg University, Aalborg, Denmark;2. Department of Endocrinology and Internal Medicine, Aarhus University Hospital, Aarhus, Denmark;3. Department of Urology, Aarhus University Hospital, Aarhus, Denmark;4. Department of Nuclear Medicine and PET Center, Aarhus University Hospital, Aarhus, Denmark;5. Department of Biomedicine, Aarhus University, Aarhus, Denmark;6. Center for Diabetes Research, Gentofte Hospital, University of Copenhagen, Hellerup, Denmark;7. Department of Biomedicine, Faculty of Health and Medical Sciences, University of Copenhagen, Copenhagen, Denmark;8. Department of Endocrinology, Aalborg University Hospital, Aalborg, Denmark
Abstract:In professional sports there are externalities. If one team acquires too much talent then that may impact the quality of the competition negatively. This means that the league can improve social welfare by distorting the competitive equilibrium allocation. This idea has been used to explain that there should be parity among teams to improve social welfare. We develop a theoretical model based on Biner's (2009) empirical results to capture the effect of this externality on the revenue levels and wages when local fans care about winning only. Social Planner's Problem for stadium revenues implies that it is possible to increase the total revenue made in the league compared to competitive equilibrium levels by increasing big market teams' talent level, therefore less parity. In other words due to externalities competitive market allocation is too equal compared to SPP allocation. We show when local audience is mainly interested in seeing their local team dominating the visiting team and national audience only interested in watching a close game on TV, the only way in the model for it ever to be efficient to enforce parity is if we introduce a national TV market into the analysis. For the national TV market, parity is going to lead to a wider TV audience. The greater the weight on this revenue stream, the more likely it is a parity policy can increase league revenues.
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