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math.PR2024★ 1 cited
Evolutionary games on the lattice: multitype contact process with density-dependent birth rates
Jonas Köppl, Nicolas Lanchier, Max Mercer
Interacting particle systems of interest in evolutionary game theory introduced in the probability literature consist of variants of the voter model in which each site is occupied…
math.PR2024
Survival and extinction for a contact process with a density-dependent birth rate
Jonas Köppl, Nicolas Lanchier, Max Mercer
To study later spatial evolutionary games based on the multitype contact process, we first focus in this paper on the conditions for survival/extinction in the presence of only one…
math.PR2024
Limiting behavior of a kindness model
Nicolas Lanchier, Max Mercer
This paper is concerned with a stochastic model for the spread of kindness across a social network. Individuals are located on the vertices of a general finite connected graph, and…