Asymptotic stability in replicator dynamics derived from TU games
- We study the asymptotic stability in replicator dynamics derived from TU games using the dual Lovász-Shapley value and the Shapley2 value for non-negatively weighted games. In particular, we provide a complete description of asymptotically stable population profiles in both dynamics. In the dual Lovász-Shapley replicator dynamic, for example, asymptotically stable populations for simple monotonic games correspond to their minimal blocking coalitions.
| Document Type: | Article |
|---|---|
| Language: | English |
| Author: | André Casajus, Michael Kramm |
| Chairs and Professorships: | Chair of Economics and Information Systems |
| DOI: | https://doi.org/10.1016/j.orl.2022.10.001 |
| Parent Title (English): | Operations research letters |
| ISSN: | 0167-6377 |
| Volume: | 50 |
| Issue: | 6 (November 2022) |
| Date of Publication (online): | 2022/10/13 |
| First Page: | 650 |
| Last Page: | 654 |
| Year of first Publication: | 2022 |
| Tag: | CES production function; Dual Lovász-Shapley value; Evolutionary game theory; Lovász-Shapley value; Shapley² value |
| Content Focus: | Academic Audience |
| Peer Reviewed: | Yes |
| Rankings: | AJG Ranking / 2 |
| VHB Ranking / B | |
| SJR Ranking / Q2 | |
| Licence (German): |  Urheberrechtlich geschützt |