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L. S. Shapley, “Cores of Convex Games,” International Journal of Game Theory, Vol. 1, No. 1, 1971, pp. 11-26. doi:10.1007/BF01753431

has been cited by the following article:

• TITLE: A Museum Cost Sharing Problem

  AUTHORS: Yuntong Wang

  KEYWORDS: Cost Sharing, Shapley Value

  JOURNAL NAME: American Journal of Operations Research, Vol.1 No.2, June 17, 2011

  ABSTRACT: Ginsburgh and Zang [2] consider a revenue sharing problem for the museum pass program, in which several museums jointly offer museum passes that allow visitors an unlimited access to participating museums in a certain period of time. We consider a cost sharing problem that can be regarded as the dual problem of the above revenue sharing problem. We assume that all museums are public goods and have various (e.g., ser-vice) costs. These costs must be shared by museum visitors. We propose a cost sharing method and provide an axiomatic characterization of the method. We then define a game for the problem and show that the cost sharing method is the Shapley value of the game. We also provide a comparative statics analysis for both the Shapley value of the museum pass game and the Shapley value for the cost sharing game when the number of museums and/or the number of visitors change.