Mathematics – Dynamical Systems
Scientific paper
2009-02-11
Mathematical Social Sciences 56, 1 (2008) 27-43
Mathematics
Dynamical Systems
Scientific paper
10.1016/j.mathsocsci.2007.12.001
We show on a 4x4 example that many dynamics may eliminate all strategies used in correlated equilibria, and this for an open set of games. This holds for the best-response dynamics, the Brown-von Neumann-Nash dynamics and any monotonic or weakly sign-preserving dynamics satisfying some standard regularity conditions. For the replicator dynamics and the best-response dynamics, elimination of all strategies used in correlated equilibrium is shown to be robust to the addition of mixed strategies as new pure strategies.
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