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Evolution with state-dependent mutations

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  • James Bergin
  • B. L. Lipman

Abstract

Recent evolutionary models have introduced "small mutation rates" as a way of refining predictions of long-run behavior. We show that if mutation rates are allowed to vary across states, then mutations no longer narrow the set of possible preditions. In particular, given any model of the effect of mutations, any invariant distribution of the "mutationless" process is close to an invariant distribution of the process with appropriately chosen small mutation rates.

Suggested Citation

  • James Bergin & B. L. Lipman, 1994. "Evolution with state-dependent mutations," Working Papers 199411, School of Economics, University College Dublin.
  • Handle: RePEc:ucn:wpaper:199411
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    File URL: http://hdl.handle.net/10197/1755
    File Function: First version, 1994
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    Keywords

    Evolution; Game theory; Probabilities;

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