European qualifiers to the 2018 FIFA World Cup can be manipulated

Csató, László (2017): European qualifiers to the 2018 FIFA World Cup can be manipulated.

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 its last match in the group stage, while it advances to play-offs by playing a draw, provided that all other results remain the same. The scenario could have happened in October 2017, after four-fifth of all matches have already been played. We present a theoretical model and identify nine incentive incompatible qualifiers to recent UEFA European Championships and FIFA World Cups. A mechanism is suggested in order to seal the way of manipulation in similar group-based qualification systems.

• Item Type: MPRA Paper
• Language: English
• Keywords: OR in sport; 2018 FIFA World Cup; tournament ranking; mechanism design; strategy-proofness
• Subjects: C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C44 - Operations Research ; Statistical Decision Theory; D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations; L - Industrial Organization > L8 - Industry Studies: Services > L83 - Sports ; Gambling ; Restaurants ; Recreation ; Tourism

References

AFC (2015). Media Release: Criteria to determine the rankings of best-placed teams among the groups. 3 June 2015. http://www.the-afc.com/download/criteria-todetermine- the-rankings-of-best-placed-teams-among-the-groups.

Berker, Y. (2014). Tie-breaking in round-robin soccer tournaments and its influence on the autonomy of relative rankings: UEFA vs. FIFA regulations. European Sport Management Quarterly, 14(2):194–210.

Csató, L. (2017a). Impossibilities of ranking in sport tournaments. Manuscript. arXiv: 1701.06539.

Csató, L. (2017b). On the ranking of a Swiss system chess team tournament. Annals of Operations Research, 254(1-2):17–36.

Csató, L. (2017c). Tournaments with subsequent group stages are incentive incompatible. Manuscript. arXiv: 1712.04183.

Csató, L. (2017d). Was Zidane honest or well-informed? How UEFA barely avoided a serious scandal. Manuscript. arXiv: 1711.09973.

Dagaev, D. and Sonin, K. (2013). Game theory works for football tournaments. Manuscript. http://voxeu.org/article/world-cup-football-and-game-theory.

Dagaev, D. and Sonin, K. (2017). Winning by losing: Incentive incompatibility in multiple qualifiers. Journal of Sports Economics, forthcoming. DOI: 10.1177/1527002517704022.

FIFA (2016). Regulations: 2018 FIFA World Cup Russia. 14 June – 15 July 2018. http://resources.fifa.com/mm/document/tournament/competition/02/84/35/19/regulationsfwc2018en_neutral.pdf.

FIFA (2017). Media Release: FIFA World Cup European play-off draw to take place on 17 October 2018. 6 September 2017. http://www.fifa.com/worldcup/news/y=2017/m=9/news=fifa-world-cup-european-play-off-draw-to-take-place-on- 17-october-2906954.html.

Gerchak, Y. (1994). Operations research in sports. In Pollock, S. M., editor, Handbooks in Operations Research & Management Science, pages 507–527. Elsevier, Amsterdam.

Gibbard, A. (1973). Manipulation of voting schemes: a general result. Econometrica, 41(4):587–601.

Kendall, G. and Lenten, L. J. (2017). When sports rules go awry. European Journal of Operational Research, 257(2):377–394.

Kóczy, L. Á. and Strobel, M. (2009). The invariant method can be manipulated. Scientometrics, 81(1):291–293.

Lasek, J., Szlávik, Z., Gagolewski, M., and Bhulai, S. (2016). How to improve a team’s position in the FIFA ranking? A simulation study. Journal of Applied Statistics, 43(7):1349–1368.

Palacios-Huerta, I. and Volij, O. (2004). The measurement of intellectual influence. Econometrica, 72(3):963–977.

Pauly, M. (2014). Can strategizing in round-robin subtournaments be avoided? Social Choice and Welfare, 43(1):29–46.

Pinski, G. and Narin, F. (1976). Citation influence for journal aggregates of scientific publications: Theory, with application to the literature of physics. Information Processing & Management, 12(5):297–312.

Russell, T. and Walsh, T. (2009). Manipulating tournaments in cup and round robin competitions. In Rossi, F. and Tsoukias, A., editors, Algorithmic Decision Theory: First International Conference, ADT 2009, Venice, Italy, October 20-23, 2009. Proceedings, pages 26–37, Berlin, Heidelberg. Springer.

Russell, T. C. (2010). A computational study of problems in sports. PhD thesis, University of Waterloo, Canada.

Satterthwaite, M. A. (1975). Strategy-proofness and Arrow’s conditions: Existence and correspondence theorems for voting procedures and social welfare functions. Journal of Economic Theory, 10(2):187–217.

Schneider, J., Schvartzman, A., and Weinberg, S. M. (2016). Condorcet-consistent and approximately strategyproof tournament rules. Manuscript. arXiv: 1605.09733.

Stanton, I. and Williams, V. V. (2013). The structure, efficacy, and manipulation of double-elimination tournaments. Journal of Quantitative Analysis in Sports, 9(4):319–335.

Tasnádi, A. (2008). The extent of the population paradox in the Hungarian electoral system. Public Choice, 134(3-4):293–305.

UEFA (2016). News: Focus switches to World Cup qualifying. 22 August 2016. http://www.uefa.com/european-qualifiers/news/newsid=2389887.html.

UEFA (2017). News: European Qualifiers: World Cup play-off places confirmed. 10 October 2017. http://www.uefa.com/european-qualifiers/news/newsid=2506867.html.

Vaziri, B., Dabadghao, S., Yih, Y., and Morin, T. L. (2017). Properties of sports ranking methods. Journal of the Operational Research Society, forthcoming. DOI: 10.1057/s41274-017-0266-8.

Vong, A. I. K. (2017). Strategic manipulation in tournament games. Games and Economic Behavior, 102:562–567.

Wright, M. (2009). 50 years of OR in sport. The Journal of the Operational Research Society, 60(Supplement 1):S161–S168.

Wright, M. (2014). OR analysis of sporting rules – A survey. European Journal of Operational Research, 232(1):1–8.