TY - JOUR
T1 - Continuous stability and evolutionary convergence
AU - Eshel, Ilan
AU - Motro, Uzi
AU - Sansone, Emilia
PY - 1997/4/7
Y1 - 1997/4/7
N2 - A stochastic process of long-term evolution due to mutation and selection is defined over an asexually reproducing population, with selection according to a population game with a one-dimensional continuity of pure strategies. Limiting the analysis to mutations of small effect, it is shown that long-term dynamic stability in such a process is equivalent to continuous stability in the relevant population game. In the case of a one-dimensional strategy set (but not necessarily if the strategy set is multi-dimensional), this result is virtually independent of the distribution of mutations.
AB - A stochastic process of long-term evolution due to mutation and selection is defined over an asexually reproducing population, with selection according to a population game with a one-dimensional continuity of pure strategies. Limiting the analysis to mutations of small effect, it is shown that long-term dynamic stability in such a process is equivalent to continuous stability in the relevant population game. In the case of a one-dimensional strategy set (but not necessarily if the strategy set is multi-dimensional), this result is virtually independent of the distribution of mutations.
UR - http://www.scopus.com/inward/record.url?scp=0031557669&partnerID=8YFLogxK
U2 - 10.1006/jtbi.1996.0312
DO - 10.1006/jtbi.1996.0312
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C2 - 9156083
AN - SCOPUS:0031557669
SN - 0022-5193
VL - 185
SP - 333
EP - 343
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
IS - 3
ER -