Best Response Dynamics on Random Graphs

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• Jordan Chellig (University of Birmingham)
• Thursday 01 October 2020, 16:00-17:00
• https://bham-ac-uk.zoom.us/j/94911365006?pwd=RGNmWlYvY2NPUmFpKzFoRUpvY1lEUT09.

If you have a question about this talk, please contact M.Jenssen.

We consider an evolving system of agents whose underlying topology of interactions is determined by a binomial random graph G(n,p). In each round, each agent will choose a binary strategy which will then be executed against each of its neighbours in a symmetric 2-players game. We consider the best response dynamics on this system: each agent synchronously updates their strategy by selecting that which maximises their total payoff, given their neighbours’ current choices. We outline two results that bound the time needed for all agents to reach a consensus.

Based on joint work with Calina Durbac and Nikolaos Fountoulakis. ————————————————————————————— Meeting ID: 949 1136 5006 Passcode: 342983

This talk is part of the Combinatorics and Probability seminar series.

This talk is included in these lists:

• Combinatorics and Probability seminar
• School of Mathematics events
• https://bham-ac-uk.zoom.us/j/94911365006?pwd=RGNmWlYvY2NPUmFpKzFoRUpvY1lEUT09

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