Csató, László (2017): European qualifiers to the 2018 FIFA World Cup can be manipulated.
Preview |
PDF
MPRA_paper_82652.pdf Download (548kB) | Preview |
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.
Item Type: | MPRA Paper |
---|---|
Original Title: | European qualifiers to the 2018 FIFA World Cup can be manipulated |
English Title: | European qualifiers to the 2018 FIFA World Cup can be manipulated |
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 C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations |
Item ID: | 82652 |
Depositing User: | László Csató |
Date Deposited: | 16 Nov 2017 14:54 |
Last Modified: | 27 Sep 2019 00:07 |
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. Altman, A. and Tennenholtz, M. (2008). Axiomatic foundations for ranking systems. Journal of Artificial Intelligence Research, 31(1):473–495. Arrow, K. J. (1950). A difficulty in the concept of social welfare. Journal of Political Economy, 58(4):328–346. 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. Brams, S. J. and Ismail, M. S. (2016). Making the rules of sports fairer. Manuscript. DOI: 10.2139/ssrn.2737672. Brams, S. J., Ismail, M. S., Kilgour, D. M., and Stromquist, W. (2016). Catch-up: A rule that makes service sports more competitive. Manuscript. DOI: 10.2139/ssrn.2887175. Chebotarev, P. (1994). Aggregation of preferences by the generalized row sum method. Mathematical Social Sciences, 27(3):293–320. Chebotarev, P. and Shamis, E. (1998). Characterizations of scoring methods for preference aggregation. Annals of Operations Research, 80:299–332. Csató, L. (2017a). 2018 FIFA World Cup qualification can be manipulated. Manuscript. http://unipub.lib.uni-corvinus.hu/3053/. Csató, L. (2017b). Impossibilities of ranking in sport tournaments. Manuscript. arXiv:1701.06539. Csató, L. (2017c). An impossibility theorem for paired comparisons. Manuscript. arXiv:1612.00186. Csató, L. (2017d). On the ranking of a Swiss system chess team tournament. Annals of Operations Research, 254(1-2):17–36. 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. Duggan, J. and Schwartz, T. (2000). Strategic manipulability without resoluteness or shared beliefs: Gibbard-Satterthwaite generalized. Social Choice and Welfare, 17(1):85–93. Durán, G., Guajardo, M., and Sauré, D. (2017). Scheduling the South American Qualifiers to the 2018 FIFA World Cup by integer programming. European Journal of Operational Research, forthcoming. DOI: 10.1007/s10479-017-2627-8. FIFA (2016). Regulations: 2018 FIFA World Cup RussiaTM. 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. González-Díaz, J., Hendrickx, R., and Lohmann, E. (2014). Paired comparisons analysis: an axiomatic approach to ranking methods. Social Choice and Welfare, 42(1):139–169. Kendall, G. and Lenten, L. J. (2017). When sports rules go awry. European Journal of Operational Research, 257(2):377–394. 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. Pauly, M. (2014). Can strategizing in round-robin subtournaments be avoided? Social Choice and Welfare, 43(1):29–46. Rubinstein, A. (1980). Ranking the participants in a tournament. SIAM Journal on Applied Mathematics, 38(1):108–111. 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. Slutzki, G. and Volij, O. (2005). Ranking participants in generalized tournaments. International Journal of Game Theory, 33(2):255–270. Slutzki, G. and Volij, O. (2006). Scoring of web pages and tournaments – axiomatizations. Social Choice and Welfare, 26(1):75–92. 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. 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. van den Brink, R. and Gilles, R. P. (2003). Ranking by outdegree for directed graphs. Discrete Mathematics, 271(1-3):261–270. van den Brink, R. and Gilles, R. P. (2009). The outflow ranking method for weighted directed graphs. European Journal of Operational Research, 193(2):484–491. 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. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/82652 |
Available Versions of this Item
- European qualifiers to the 2018 FIFA World Cup can be manipulated. (deposited 16 Nov 2017 14:54) [Currently Displayed]