TY  - GEN
AB  - This paper considers a two-player game with a one-dimensional continuous strategy. We study the asymptotic stability of equilibria under the replicator dynamic when the support of the initial population is an interval. We find that, under strategic complementarities, Continuously Stable Strategy (CSS) have the desired convergence properties using an iterated dominance argument. For general games, however, CSS can be unstable even for populations that have a continuous support. We present a sufficient condition for convergence based on elimination of iteratively dominated strategies. This condition is more restrictive than CSS in general but equivalent in the case of strategic complementarities. Finally, we offer several economic applications of our results.
DA  - 2010
KW  - Continuously stable strategy (CSS)
KW  - Evolutionary stability
LA  - eng
PY  - 2010
SN  - 0931-6558
TI  - On the stability of CSS under the replicator dynamic
UR  - https://nbn-resolving.org/urn:nbn:de:0070-bipr-47893
Y2  - 2024-11-22T04:18:22
ER  -