Sign symmetry vs symmetry : Young’s characterization of the Shapley value revisited
- We revisit Young's (Int J Game Theory 14, 1985, 65-72) characterization of the Shapley value by efficiency, symmetry, and marginality or strong monotonicity. In particular, we suggest a relaxation of symmetry called sign symmetry. While symmetry requires equally productive players to obtain the same payoffs, sign symmetry only requires their payoffs to have the same sign. It turns out that sign symmetry can take the place of symmetry in Young's characterization.
| Document Type: | Article |
|---|---|
| Language: | English |
| Author: | André Casajus |
| Chairs and Professorships: | Chair of Economics and Information Systems |
| DOI: | https://doi.org/10.1016/j.econlet.2018.05.017 |
| Parent Title (English): | Economics letters |
| ISSN: | 0165-1765 |
| Volume: | 169 |
| Issue: | August 2018 |
| Year of Completion: | 2018 |
| First Page: | 59 |
| Last Page: | 62 |
| Tag: | Marginality; Shapley value; Sign symmetry; Strong monotonicity; Symmetry; TU game; Weak differential monotonicity |
| Content Focus: | Academic Audience |
| Peer Reviewed: | Yes |
| Rankings: | AJG Ranking / 3 |
| VHB Ranking / B | |
| SJR Ranking / Q2 | |
| Licence (German): |  Urheberrechtlich geschützt |