6 papers
Social goods dilemmas in heterogeneous societies
Alex McAvoy, Benjamin Allen, Martin A. Nowak
Prosocial behaviors are encountered in the donation game, the prisoner's dilemma, relaxed social dilemmas, and public goods games. Many studies assume that the population structure…
Stationary frequencies and mixing times for neutral drift processes with spatial structure
Alex McAvoy, Ben Adlam, Benjamin Allen +1
We study a general setting of neutral evolution in which the population is of finite, constant size and can have spatial structure. Mutation leads to different genetic types ("trai…
Asymmetric evolutionary games with environmental feedback
Christoph Hauert, Camille Saade, Alex McAvoy
Models in evolutionary game theory traditionally assume symmetric interactions in homogeneous environments. Here, we consider populations evolving in a heterogeneous environment, w…
A mathematical formalism for natural selection with arbitrary spatial and genetic structure
Benjamin Allen, Alex McAvoy
We define a general class of models representing natural selection between two alleles. The population size and spatial structure are arbitrary, but fixed. Genetics can be haploid,…
Effects of motion in structured populations
Madison S. Krieger, Alex McAvoy, Martin A. Nowak
In evolutionary processes, population structure has a substantial effect on natural selection. Here, we analyze how motion of individuals affects constant selection in structured p…
On pointless diagonal Fermat curves
Alexander P. McAvoy
We give an improved asymptotic upper bound on the number of diagonal Fermat curves over with no -rational points, wh…