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The dual Lovász-Shapley value and the Shapley² value for non-negatively weighted TU games

  • We suggest two economically plausible alternatives to the Lovász-Shapley value for non-negatively weighted TU games (Casajus and Wiese, 2017. Int. J. Game Theory 46 , 295-310), the dual Lovász-Shapley value and the Shapley² value. Whereas the former is based on the Lovász extension operator for TU games (Lovász, 1983. Mathematical Programming: The State of the Art, Springer, 235.256; Algaba et al., 2004. Theory Decis. 56, 229.238.), the latter two are based on the dual Lovász extension operator and the Shapley extension operator (Casajus and Kramm, 2021. Discrete Appl. Math. 294, 224.232), respectively.

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Document Type:Working Paper
Author:André CasajusORCiD, Michael KrammORCiD
Chairs and Professorships:Chair of Economics and Information Systems
Full text/ URN:urn:nbn:de:0217-28490
Parent Title (English):HHL Working Paper
Series (Serial Number):HHL-Arbeitspapier / HHL Working paper (196)
Issue:January 2022
Year of Completion:2022
Page Number:17 pages
Tag:CES production function; Dual Lovász extension; Lovász extension; Shapley extension; TU game
Content Focus:Academic Audience
Licence (German):License LogoUrheberrechtlich geschützt