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European qualifiers to the 2018 FIFA World Cup can be manipulated

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  • Csató, László

Abstract

Tournament organizers supposedly design rules such that a team cannot be better off by exerting a lower effort. It is shown that the European qualifiers to the 2018 FIFA World Cup are not strategy-proof in this sense: a team might be eliminated if it wins in the last matchday of group stage, while it advances to play-offs by playing a draw, provided that all other results do not change. An example reveals that this scenario could have happened in October 2017, after four-fifth of all matches have already been played. We present a model and identify nine incentive incompatible qualifiers to recent UEFA European Championships or FIFA World Cups. A mechanism is suggested in order to seal the way of manipulation in group-based qualification systems.

Suggested Citation

  • Csató, László, 2017. "European qualifiers to the 2018 FIFA World Cup can be manipulated," MPRA Paper 82652, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:82652
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    File URL: https://mpra.ub.uni-muenchen.de/83437/1/MPRA_paper_83437.pdf
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    References listed on IDEAS

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    1. Chebotarev, P. Yu., 1994. "Aggregation of preferences by the generalized row sum method," Mathematical Social Sciences, Elsevier, vol. 27(3), pages 293-320, June.
    2. Pavel Yu. Chebotarev & Elena Shamis, 1998. "Characterizations of scoring methodsfor preference aggregation," Annals of Operations Research, Springer, vol. 80(0), pages 299-332, January.
    3. Sonin, Konstantin & Dagaev, Dmitry, 2013. "Winning by Losing: Incentive Incompatibility in Multiple Qualifiers," CEPR Discussion Papers 9373, C.E.P.R. Discussion Papers.
    4. M B Wright, 2009. "50 years of OR in sport," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 161-168, May.
    5. Durán, Guillermo & Guajardo, Mario & Sauré, Denis, 2017. "Scheduling the South American Qualifiers to the 2018 FIFA World Cup by integer programming," European Journal of Operational Research, Elsevier, vol. 262(3), pages 1109-1115.
    6. Jan Lasek & Zoltán Szlávik & Marek Gagolewski & Sandjai Bhulai, 2016. "How to improve a team's position in the FIFA ranking? A simulation study," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(7), pages 1349-1368, July.
    7. Giora Slutzki & Oscar Volij, 2005. "Ranking participants in generalized tournaments," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(2), pages 255-270, June.
    8. Julio González-Díaz & Ruud Hendrickx & Edwin Lohmann, 2014. "Paired comparisons analysis: an axiomatic approach to ranking methods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 139-169, January.
    9. van den Brink, René & Gilles, Robert P., 2009. "The outflow ranking method for weighted directed graphs," European Journal of Operational Research, Elsevier, vol. 193(2), pages 484-491, March.
    10. Brams, Steven J. & Ismail, Mehmet S. & Kilgour, D. Marc & Stromquist, Walter, 2016. "Catch-Up: A Rule That Makes Service Sports More Competitive," MPRA Paper 75650, University Library of Munich, Germany.
    11. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    12. Kendall, Graham & Lenten, Liam J.A., 2017. "When sports rules go awry," European Journal of Operational Research, Elsevier, vol. 257(2), pages 377-394.
    13. Brams, Steven J. & Ismail, Mehmet S., 2016. "Making the Rules of Sports Fairer," MPRA Paper 69714, University Library of Munich, Germany.
    14. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    15. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58(4), pages 328-328.
    16. Vong, Allen I.K., 2017. "Strategic manipulation in tournament games," Games and Economic Behavior, Elsevier, vol. 102(C), pages 562-567.
    17. Gonzalez-Diaz, J. & Hendrickx, R.L.P. & Lohmann, E.R.M.A., 2011. "Paired Comparisons Analysis : An Axiomatic Approach to Rankings in Tournaments," Discussion Paper 2011-116, Tilburg University, Center for Economic Research.
    18. Giora Slutzki & Oscar Volij, 2006. "Scoring of web pages and tournaments—axiomatizations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(1), pages 75-92, January.
    19. Marc Pauly, 2014. "Can strategizing in round-robin subtournaments be avoided?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 29-46, June.
    20. Wright, Mike, 2014. "OR analysis of sporting rules – A survey," European Journal of Operational Research, Elsevier, vol. 232(1), pages 1-8.
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    Cited by:

    1. László Csató, 2018. "Was Zidane honest or well-informed? How UEFA barely avoided a serious scandal," Economics Bulletin, AccessEcon, vol. 38(1), pages 152-158.

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    More about this item

    Keywords

    OR in sport; 2018 FIFA World Cup; tournament ranking; mechanism design; strategy-proofness;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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