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Shapley Ranking of Wines*

Published online by Cambridge University Press:  25 February 2013

Victor Ginsburgh
Affiliation:
ECARES, Université Libre de Bruxelles, 50, Av. F.D. Roosevelt, CP 114/04, 1050 Brussels, Belgium and CORE, Université catholique de Louvain, Louvain-la Neuve, Belgium. Email: [email protected].
Israël Zang
Affiliation:
Faculty of Management, The Leon Recanati Graduate School of Business Administration, Tel Aviv University, Tel Aviv 69978, Israel. Email: [email protected].

Abstract

We suggest a new game-theory-based ranking method for wines, in which the Shapley Value of each wine is computed, and wines are ranked according to their Shapley Values. Judges should find it simpler to use, since they are not required to rank order or grade all the wines, but merely to choose the group of those that they find meritorious. Our ranking method is based on the set of reasonable axioms that determine the Shapley Value as the unique solution of an underlying cooperative game. Unlike in the general case, where computing the Shapley Value could be complex, here the Shapley Value and hence the final ranking, are straightforward to compute. (JEL Classification: C71, D71, D78)

Type
Research Article
Copyright
Copyright © American Association of Wine Economists 2013

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Footnotes

*

We are grateful to O. Ashenfelter, M. Castanheira, R. Quandt and K. Storchmann for excellent comments. This research was conducted while Israël Zang was a faculty member of the Academic College of Tel Aviv – Jaffa.

References

Arrow, K. (1953). Social Choice and Individual Values. New Haven, CT: Cowles Foundation Monographs.Google Scholar
Ashenfelter, O., and Quandt, R. (1999). Analyzing a wine tasting statistically. Chance, 12(3), 1620.Google Scholar
Aumann, R. (1976). Lectures on Game Theory. Lectures given at the Economics Department at Stanford University 1975–1976 during the fall and winter quarters of 1975–1976. Boulder, CO: Westview Press.Google Scholar
Balinski, M., and Laraki, R. (2010). Majority Judgment. Measuring Ranking and Electing. Cambridge, MA and London: The MIT Press.Google Scholar
Borda, J.-C. de (1781). Mémoire sur les élections au scrutin. Mémoires de l'Académie des Sciences. Paris. 657664.Google Scholar
Gillies, D. (1953). Some theorems on n-person games. Ph.D. Dissertation. Princeton University.Google Scholar
Ginsburgh, V., and Zang, I. (2003). The museum pass game and its value. Games and Economic Behavior, 43(2), 322325.CrossRefGoogle Scholar
Ginsburgh, V., and Zang, I. (2004). Sharing the income of a museum pass program. Museum Management and Curatorship, 19(4), 371383.CrossRefGoogle Scholar
Mirman, L., and Tauman, Y. (1982). Demand compatible equitable cost sharing prices. Mathematics of Operations Research, 7(1), 4056.Google Scholar
Mirman, L., Tauman, Y., and Zang, I. (1985). On the use of game-theoretic concepts in cost accounting. In Young, H.P. (ed.), Cost Allocation: Methods. Principles. Applications. Amsterdam: North Holland. 5777.Google Scholar
Nambiar, K. (2011). Fractional Voting System. Amazon Kindle Edition. Amazon Digital Services.Google Scholar
Osborne, M., and Rubinstein, A. (1994). A Course in Game Theory. Cambridge. Mass.: MIT Press.Google Scholar
Quandt, R. (2006). Measurement and inference in wine tasting. Journal of Wine Economics, 1(1), 730.CrossRefGoogle Scholar
Schmeidler, D. (1969). The nucleolus of a characteristic function game. SIAM Journal of Applied Mathematics, 17, 11631170.CrossRefGoogle Scholar
Shapley, L. (1953). A value for n-person games. In Kuhn, A. W., and Tucker, A. W. (eds.), Contribution to the Theory of Games. Vol. II. Princeton, NJ: Princeton University Press. 307317.Google Scholar
Taber, G. (2005). Judgment of Paris: California vs. France and the Historic 1976 Paris Tasting That Revolutionized Wine. New York: Scribner.Google Scholar
Weber, R. (no date). Approval voting. http://www.kellogg.northwestern.edu/faculty/weber/PAPERS/approval.htm. (last consulted October 24, 2012).Google Scholar
Weber, R. (1978). Comparison of Voting Systems. Cowles Foundation Discussion Paper No. 498. New Haven, CT: Yale University.Google Scholar
Weber, R. (1995). Approval voting. The Journal of Economic Perspectives, 9(1), 3949.CrossRefGoogle Scholar