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Necessary and sufficient conditions for the existence of an optimisation principle in evolution
Mats Gyllenberg1, Robert Service
1Department of Mathematics and Statistics, University of Helsinki, Finland.
Abstract:
This paper presents a necessary condition for the existence of a numerical quantity optimised by evolution by natural selection, which also turns out to be a sufficient condition under rather general conditions. As a corollary, a related criterion with a particularly intuitive graphical interpretation in terms of pairwise invadability plots is obtained.
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