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Solutions for non-negatively weighted TU games derived from extension operators
Institution:1. HHL Leipzig Graduate School of Management, Jahnallee 59, 04109 Leipzig, Germany;2. Dr. Hops Craft Beer Bar, Eichendorffstr. 7, 04277 Leipzig, Germany;3. Technische Universität Dortmund, Fakultät Wirtschaftswissenschaften, Volkswirtschaftslehre, 44221 Dortmund, Germany
Abstract:We suggest two alternatives to the Lovász-Shapley value for non-negatively weighted TU games, the dual Lovász-Shapley value and the Shapley2 value. Whereas the former is based on the Lovász extension operator for TU games, the latter two are based on extension operators that share certain economically plausible properties with the Lovász extension operator, the dual Lovász extension operator and the Shapley extension operator, respectively.
Keywords:TU game  Lovász extension  CES production function  Dual Lovász extension  Shapley extension
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