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SUMMARY:Dr Hong Duong\, Chapman Fellow\, Imperial College
DESCRIPTION:Statistics of the number of internal equilibria: Evolutionary G
ame Theory meets Random Polynomial Theory\nEvolutionary Game Theory has be
come one of the most diverse and far reaching theories in biology finding
applications in a plethora of disciplines such as ecology\, population gen
etics\, social sciences\, economics and computer sciences. Similar to th
e foundational concept of Nash equilibrium in classical game theory\, the
analysis of equilibrium points is of great importance in evolutionary game
theory providing essential implications for understanding of complexity i
n a dynamical system\, such as its behavioural\, cultural or biological di
versity. In this talk\, we study the statistics of the number of interna
l equilibria of a multiplayer two-strategy random evolutionary game. We sh
ow intriguing connections to random polynomial theory and using these conn
ections we compute the mean value and the distribution of the number of in
ternal equilibira and study their asymptotic behavior as the number of pla
yers goes to infinity.
URL:https://www.imperial.ac.uk/events/99158/dr-hong-duong-chapman-fellow-im
perial-college/
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LOCATION:United Kingdom
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