Evolution with State-Dependent Mutations

Recent evolutionary models have introduced "small mutation rates" as a way of refining predictions of long-run behavior. We show that this refinement effect can only be obtained by restrictions on how the magnitude of the effect of mutation on evolution varies across states of the system....

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Veröffentlicht in:	Econometrica 1996-07, Vol.64 (4), p.943-956
Hauptverfasser:	Bergin, James, Lipman, Barton L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications Biology, psychology, social sciences Econometrics Economic forecasts Economic models Economic theory Evolution Evolutionary linguistics Exact sciences and technology Experimentation Game theory Insurance, economics, finance Markov processes Mathematics Medical sciences Modeling Mutation Nash equilibrium Population distributions Probability and statistics Probability distributions Probability theory and stochastic processes Reliability, life testing, quality control Sciences and techniques of general use Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications) Statistics Studies Working papers
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Beschreibung
Zusammenfassung:	Recent evolutionary models have introduced "small mutation rates" as a way of refining predictions of long-run behavior. We show that this refinement effect can only be obtained by restrictions on how the magnitude of the effect of mutation on evolution varies across states of the system. 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.
ISSN:	0012-9682 1468-0262
DOI:	10.2307/2171851