@article{CasajusKramm2022, author = {Casajus, Andr{\´e} and Kramm, Michael}, title = {Asymptotic stability in replicator dynamics derived from TU games}, journal = {Operations research letters}, volume = {50}, number = {6 (November 2022)}, issn = {0167-6377}, doi = {10.1016/j.orl.2022.10.001}, institution = {Chair of Economics and Information Systems}, pages = {650 -- 654}, year = {2022}, abstract = {We study the asymptotic stability in replicator dynamics derived from TU games using the dual Lov{\´a}sz-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 Lov{\´a}sz-Shapley replicator dynamic, for example, asymptotically stable populations for simple monotonic games correspond to their minimal blocking coalitions.}, language = {en} }