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SUMMARY:Best response dynamics in random graphs - Nikolaos Fountoulakis (U
niversity of Birmingham)
DTSTART;VALUE=DATE-TIME:20230116T140000Z
DTEND;VALUE=DATE-TIME:20230116T150000Z
UID:https://talks.ox.ac.uk/talks/id/b01d5ddc-859b-4a44-a1a4-8e562ec2b091/
DESCRIPTION:In this talk\, we will discuss evolutionary games on a binomia
l random graph G(n\,p). These games are determined through a 2-player symm
etric game with 2 strategies which are played between the adjacent members
of the vertex set. Players/vertices update their strategies synchronously
: at each round\, each player selects the strategy that is the best respon
se to the current set of strategies its neighbours play. We show that such
a system reduces to generalised majority and minority dynamics. We show r
apid convergence to unanimity for p in a range that depends on a certain c
haracteristic of the payoff matrix. In the presence of a certain type of b
ias in the payoff matrix\, we determine a sharp threshold on p above which
the largest connected component reaches unanimity with high probability\,
and below which this does not happen.\n\nThis is joint work with Jordan C
hellig and Calina Durbac.\nSpeakers:\nNikolaos Fountoulakis (University of
Birmingham)
LOCATION:Mathematical Institute (L3)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/b01d5ddc-859b-4a44-a1a4-8e562ec2b091/
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DESCRIPTION:Talk:Best response dynamics in random graphs - Nikolaos Founto
ulakis (University of Birmingham)
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