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Sex ratio evolution from the point of view of dynamic large games

Speaker(s)
Krzysztof Argasiński
Affiliation
Uniwersytet Jagielloński
Date
May 17, 2006, 4:15 p.m.
Room
room 5840
Seminar
Seminar of Biomathematics and Game Theory Group

On the seminar will be presented new model of sex ratio evolution related to so called dynamic evolutionary large games. This is a new technique of modelling of multipopulaton problems. The classic approach (e.g. Shaw-Moller or Sex Ratio Game) relies on assumption that proper fitness measure is the number of grandsons. A new model shows that this is a mathematical artifact, and self-regulation of population sex ratio is not the product of 0.5 female phenotype selection. In stable state population may be heterogenic (consisting of different individual strategies) but population sex ratio is equal to 0.5. These stable states are elements of Evolutionarily Stable Set.