Interaction between Dutch Soccer Teams and Fans: A Mathematical Analysis through Cooperative Game Theory

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DOI: 10.4236/am.2012.31014    4,801 Downloads   8,081 Views   Citations

ABSTRACT

Inspired by the first lustrum of the Club Positioning Matrix (CPM) for professional Dutch soccer teams, we model the interaction between soccer teams and their potential fans as a cooperative cost game based on the annual voluntary sponsorships of fans in order to validate their fan registration in a central database. We introduce a natural cost allocation to the soccer teams, based in a natural manner on the sponsorships of fans. The game theoretic approach is twofold. On the one hand, an appropriate cost game called “fan data cost game” is developed and on the other, it is shown that the former natural cost allocation agrees with the solution concept called “nucleolus” of the fan data cost game.

Cite this paper

D. Hou and T. Driessen, "Interaction between Dutch Soccer Teams and Fans: A Mathematical Analysis through Cooperative Game Theory," Applied Mathematics, Vol. 3 No. 1, 2012, pp. 86-91. doi: 10.4236/am.2012.31014.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] van Duren and T. Knipping, “Het Ijzeren Gordijn Is Gesloopt,” Voetbal International (Weekly Soccer Magazine, in Dutch), Vol. 46, No. 13, 30 March 2011, pp. 116-121.
[2] D. Schmeidler, “The Nucleolus of a Characteristic Function Game,” SIAM Journal of Applied Mathematics, Vol. 17, No. 6, 1969, pp. 1163-1170. doi:10.1137/0117107
[3] E. Kohlberg, “On the Nucleolus of a Characteristic Function Game,” SIAM Journal of Applied Mathematics, Vol. 20, No. 1, 1971, pp. 62-66.
[4] T. S. H. Driessen, “Cooperative Games, Solutions, and Applications,” Kluwer Academic Publishers, Dordrecht, 1988.
[5] P. Dehez and D. Tellone, “Data Games: Sharing Public Goods with Exclusion,” Journal of Public Economic Theory, 2012.

  
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