EVOLUTION WITH STATE-DEPENDENT MUTATIONS

Authors
BERGIN J LIPMAN BL
Citation
J. Bergin et Bl. Lipman, EVOLUTION WITH STATE-DEPENDENT MUTATIONS, Econometrica, 64(4), 1996, pp. 943-956
Citations number
17
Categorie Soggetti
Economics,"Social Sciences, Mathematical Methods","Mathematical, Methods, Social Sciences
Journal title
Econometrica → ACNP
ISSN journal
00129682
Volume
64
Issue
4
Year of publication
1996
Pages
943 - 956
Database
ISI
SICI code
0012-9682(1996)64:4<943:EWSM>2.0.ZU;2-N
Abstract
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 mag nitude 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 t o an invariant distribution of the process with appropriately chosen s mall mutation rates.