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Weakly monotonic solutions for cooperative games

  • The principle of weak monotonicity for cooperative games states that if a game changes so that the worth of the grand coalition and some player’s marginal contribution to all coalitions increase or stay the same, then this player’s payoff should not decrease. We iestigate the class of values that satisfy efficiency, symmetry, and weak monotonicity. It turns out that this class coincides with the class of egalitarian Shapley values. Thus, weak monotonicity reflects the nature of the egalitarian Shapley values in the same vein as strong monotonicity reflects the nature of the Shapley value. An egalitarian Shapley value redistributes the Shapley payoffs as follows: First, the Shapley payoffs are taxed proportionally at a fixed rate. Second, the total tax revenue is distributed equally among all players.

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Metadaten
Document Type:Working Paper
Language:English
Author:André Casajus, Frank Huettner
Chairs and Professorships:Chair of Economics and Information Systems
Parent Title (English):HHL Working paper
Series (Serial Number):HHL-Arbeitspapier / HHL Working paper (135)
Place of publication:Leipzig
Publisher:HHL Leipzig Graduate School of Management
Year of Completion:2014
Page Number:10
Licence (German):License LogoUrheberrechtlich geschützt