Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5072000 | Games and Economic Behavior | 2012 | 8 Pages |
Abstract
This note shows, by means of two simple, three-strategy games, the existence of stable periodic orbits and of multiple, interior steady states in a smooth version of the Best-Response Dynamics, the Logit Dynamics. The main finding is that, unlike Replicator Dynamics, generic Hopf bifurcation and thus, stable limit cycles, occur under the Logit Dynamics, even for three-strategy games. We also show that the Logit Dynamics displays another bifurcation which cannot occur under the Replicator Dynamics: the fold bifurcation, with non-monotonic creation and disappearance of steady states.
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Authors
Cars H. Hommes, Marius I. Ochea,