Evolutionary Stability. Mixed strategy dynamics.

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Presentation transcript:

Evolutionary Stability

Mixed strategy dynamics

Sex ratio §usually near 50 percent

Sex ratio §usually near 50 percent §males XY, females XX

Sex ratio §other sex-determining mechanisms §mealy bug:

Sex ratio §other sex-determining mechanisms §mealy bug: §if mating immediately 102:100

Sex ratio §other sex-determining mechanisms §mealy bug: §if mating immediately 102:100 §after 6 weeks 181:100

Sex ratio §other sex-determining mechanisms §mealy bug: §if mating immediately 102:100 §after 6 weeks 181:100 §after 10 weeks 991:100

Sex ratio

Mixed strategy dynamics

§

Chicken with mixed strategy

Evolutionarily stable strategies

Adaptive dynamics

Population Genetics §Mendelian population §diploid-haploid life cycle

Population Genetics

Linkage and Cross-over

§With recombination, fitness need not increase

Population genetics frequency-dependent selection evolutionary game dynamics short-term vs. long-term evolution adaptive dynamics approximations vs. simulations