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Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex...

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Sex and Evolutionary Stability Ken Binmore and Larry Samuelson [email protected]

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Page 1: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

Sex andEvolutionary Stability

Ken Binmore and Larry [email protected]

Page 2: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

Hawk/Dove/Retaliator Game

Page 3: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

Resource Game 0 < k < b

Page 4: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

s

1-s

p 1-p

Page 5: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

Page 6: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

drift terms

Page 7: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

drift terms

Page 8: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

drift terms

>1 ?

background fitness

Page 9: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

Page 10: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

Sexual Dynamicsmeasure of aa gametes

aa

Page 11: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

Sexual Dynamics

Page 12: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

Sexual Dynamics

Page 13: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

Sexual Dynamics

Page 14: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

Sexual Dynamics: Hawk-Dove Game

Page 15: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

Sexual Dynamics: Hawk-Dove Game

phenotypical gambit

Page 16: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

Impact of Sexual Transmission on Drift

Page 17: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

Impact of Sexual Transmission on Drift

>1 ?

Page 18: Sex and Evolutionary Stability - CEREMADE - UMR7534 - …viossat/PDFs/BGTP/talks/Binmore... · Sex and Evolutionary Stability Ken Binmore and Larry Samuelson k.binmore@ucl.ac.uk

Impact of Sexual Transmission on Drift

>1 ?

Hardy-Weinberg

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