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Diminishing Returns and the Limit of Athletic Performance

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  • Gerald W. Scully

Abstract

The purpose of this paper is to estimate athletic performance profiles over time, to establish that diminishing returns is a characteristic of performance functions, to measure the rate of the marginal decline, and to measure the upper (lower) bound or limit of performance. The empirical results yield estimates of the limiting value of athletic performance and the frontier maximum (minimum) record. Since lower bounds in the running events have been shown to be sensitive to choice of the nonlinear model, logistic and an exponential model for the men's running and distance events are estimated as a cross‐check on my differential equation model. The issue of the gender gap (whether women will ever catch men) in athletic performance is also explored.

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  • Gerald W. Scully, 2000. "Diminishing Returns and the Limit of Athletic Performance," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(4), pages 456-470, September.
    • Handle: RePEc:bla:scotjp:v:47:y:2000:i:4:p:456-470
    DOI: 10.1111/1467-9485.00173
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    Cited by:

    1. Markus LANG & Alexander RATHKE & Marco RUNKEL, 2010. "The Economic Consequences Of Foreigner Rules In National Sports Leagues," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 31, pages 47-64.
    2. Helmut Dietl & Egon Franck & Martin Grossmann & Markus Lang, 2009. "Contest Theory and its Applications in Sports," Working Papers 0029, University of Zurich, Center for Research in Sports Administration (CRSA).

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