Mitchell Centre Seminar Series
| Dates: | 16 October 2024 |
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| Times: | 16:00 - 17:30 |
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| What is it: | Seminar |
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| Organiser: | School of Social Sciences |
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Fanqi Zeng, University of Oxford
Waves of cooperation in public goods games on networks
Cooperation, as a reciprocal behaviour that brings benefits to others while costs to oneself, is widespread in natural and social systems. In this work, we propose a general mathematical framework to investigate the dynamics of a typical public good game that involves cooperators and defectors in a spatial system. We first use the generalised modelling method to engineer a public goods game. Then by introducing the diffusion among spatial nodes, we examine that the coupling factors that evolve in the networks of nodes can trigger various instabilities such as shortwave instability and finite wave number instability in three different scenarios, which represent different cooperative behaviours among players. Collectively, the perspectives in this work shed new light on the intricate relationship between cooperators and defectors in public goods game, and highlight opportunities for analysing nonlinear dynamics of public goods models in spatial systems and beyond efficiently.
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Humanities Bridgeford Street
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