TY - JOUR
T1 - On the relation between the instability of ESS in discrete dynamics and segregation distortion
AU - Liberman, Uri
N1 - Funding Information:
f Research supported in part by NIH grants GM 28016 and GM 10452 and a grant from the U.S.-Israel Binational Science Foundation.
PY - 1991/6/21
Y1 - 1991/6/21
N2 - There is a simple correspondence between discrete dynamical systems associated with evolutionary game dynamics and general locus multiallele selection models with non-Mendelian segregation. When interpreted properly the payoff matrix has two components, a fitness matrix component and a segregation matrix component. The presence of segregation distortion which corresponds to a non-symmetric payoff matrix, is a source of instability. With non-symmetric payoff an ESS does not usually correspond to a stable equilibrium. It is always externally stable but does not necessarily have an internally stable equilibrium.
AB - There is a simple correspondence between discrete dynamical systems associated with evolutionary game dynamics and general locus multiallele selection models with non-Mendelian segregation. When interpreted properly the payoff matrix has two components, a fitness matrix component and a segregation matrix component. The presence of segregation distortion which corresponds to a non-symmetric payoff matrix, is a source of instability. With non-symmetric payoff an ESS does not usually correspond to a stable equilibrium. It is always externally stable but does not necessarily have an internally stable equilibrium.
UR - http://www.scopus.com/inward/record.url?scp=0025919545&partnerID=8YFLogxK
U2 - 10.1016/S0022-5193(05)80437-0
DO - 10.1016/S0022-5193(05)80437-0
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AN - SCOPUS:0025919545
SN - 0022-5193
VL - 150
SP - 421
EP - 436
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
IS - 4
ER -