Survival of Dominated
Strategies under Evolutionary Dynamics
We prove that any evolutionary dynamic satisfying four mild
requirements does not eliminate strictly dominated strategies in
all games. We also show that existing elimination results for
evolutionary dynamics are not robust to small changes in the
specifications of the dynamics. Numerical analysis suggests that
dominated strategies can persist at nontrivial frequencies even
when the level of domination is not small.
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William H. Sandholm is Professor of Economics at the University
of Wisconsin-Madison. He is the recipient of an NSF CAREER award
and the author of "Population Games and Evolutionary Dynamics"
(forthcoming, MIT Press).