Weak differential marginality and the Shapley value
- The principle of differential marginality for cooperative games states that the differential of two players' payoffs does not change when the differential of these players' marginal contributions to coalitions containing neither of them does not change. Together with two standard properties, efficiency and the null player property, differential marginality characterizes the Shapley value. For games that contain more than two players, we show that this characterization can be improved by using a substantially weaker property than differential marginality. Weak differential marginality requires two players' payoffs to change in the same direction when these players' marginal contributions to coalitions containing neither of them change by the same amount.
Document Type: | Article |
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Language: | English |
Author: | André Casajus, Koji Yokote |
Chairs and Professorships: | Chair of Economics and Information Systems |
DOI: | https://doi.org/10.1016/j.jet.2016.11.007 |
Parent Title (English): | Journal of Economic Theory |
Volume: | 167 |
Year of Completion: | 2017 |
First Page: | 274 |
Last Page: | 284 |
Tag: | Differential marginality; Shapley value; TU game; Weak differential marginality |
Content Focus: | Academic Audience |
Peer Reviewed: | Yes |
Rankings: | AJG Ranking / 4 |
SJR Ranking / Q1 | |
Sustainable Development Goals: | Quality education |
Licence (German): | ![]() |