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Robust rankings of multi-dimensional performances: An application to Tour de France racing cyclists

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  • Laurens Cherchye
  • Frederic Vermeulen

Abstract

There is a general interest in ranking performances (e.g., in sports or policy), which essentially implies aggregating several performance dimensions. The usual approach considers a 'cardinal' linear weighting of the different single-dimensional performance indicators. We present an alternative approach, which merely requires 'ordinal' information regarding the importance of the different performance dimensions. We argue that this approach is robust with respect to alternative specifications of the (possibly non-linear) underlying performance aggregation function. An application to Tour de France racing cyclists (in the period 1953-2004) illustrates the approach. We find that Eddy Merckx, Bernard Hinault and Lance Armstrong (robustly) dominate almost all other racing cyclists in our sample, while they do not dominate each other. A net-dominance metric ranks Bernard Hinault on the first place in our sample; Eddy Merckx and Lance Armstrong follow very closely ex-aequo on the second place.

Suggested Citation

  • Laurens Cherchye & Frederic Vermeulen, 2004. "Robust rankings of multi-dimensional performances: An application to Tour de France racing cyclists," Public Economics Working Paper Series wptourf, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics.
    • Handle: RePEc:wpe:papers:wptourf
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    File URL: http://www.econ.kuleuven.ac.be/ew/academic/econover/Papers/wptourf.pdf
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    References listed on IDEAS

    as
    1. Kalaitzidakis, P. & Mamuneas, T.P. & Stengos, T., 2003. "Rankings of Academic Journals and Institutions," Working Papers 2003-8, University of Guelph, Department of Economics and Finance.
    2. S Lozano & G Villa & F Guerrero & P Cortés, 2002. "Measuring the performance of nations at the Summer Olympics using data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(5), pages 501-511, May.
    3. Pantelis Kalaitzidakis & Theofanis P. Mamuneas & Thanasis Stengos, 2003. "Rankings of Academic Journals and Institutions in Economics," Journal of the European Economic Association, MIT Press, vol. 1(6), pages 1346-1366, December.
    4. Michel Lubrano & Luc Bauwens & Alan Kirman & Camelia Protopopescu, 2003. "Ranking Economics Departments in Europe: A Statistical Approach," Journal of the European Economic Association, MIT Press, vol. 1(6), pages 1367-1401, December.
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    Cited by:

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    4. Marco Di Domizio & Mattia Palombini, 2011. "Competitività orizzontale e verticale nel ciclismo professionistico: alcune riflessioni sul circuito pro tour," Rivista di Diritto ed Economia dello Sport, Centro di diritto e business dello Sport, vol. 6(3), pages 35-54, Febbraio.

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