• Corpus ID: 13344088

# A Note on the computational hardness of evolutionary stable strategies

@article{Nisan2006ANO,
title={A Note on the computational hardness of evolutionary stable strategies},
author={Noam Nisan},
journal={Electron. Colloquium Comput. Complex.},
year={2006},
volume={TR06}
}
• N. Nisan
• Published 2006
• Mathematics
• Electron. Colloquium Comput. Complex.
We present a very simple reduction that when given a graph G and an integer k produces a game that has an evolutionary stable strategy if and only if the maximum clique size of G is not exactly k. Formally this shows that existence of evolutionary stable strategies is hard for a complexity class called co − D, slightly strengthening (and greatly simplifying) the known NP-hardness and co-NP-hardness. En route we show that even recognizing an evolutionary stable strategy is co-NP complete.

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### Appendix: Rationality of x and

• Appendix: Rationality of x and