170 citations · 1.1k across the 33 of their papers we have counts for
22 papers · 1 filter
Meeting times on graphs in near-cubic time
Alex McAvoy
The expected meeting time of two random walkers on an undirected graph of size , where at each time step one walker moves and the process stops when they collide, satisfies a sy…
Frequency-dependent returns in nonlinear public goods games
Christoph Hauert, Alex McAvoy
When individuals interact in groups, the evolution of cooperation is traditionally modeled using the framework of public goods games. These models often assume that the return of t…
Selfish optimization and collective learning in populations
Alex McAvoy, Yoichiro Mori, Joshua B. Plotkin
A selfish learner seeks to maximize their own success, disregarding others. When success is measured as payoff in a game played against another learner, mutual selfishness typicall…
Evolutionary instability of selfish learning in repeated games
Alex McAvoy, Julian Kates-Harbeck, Krishnendu Chatterjee +1
Across many domains of interaction, both natural and artificial, individuals use past experience to shape future behaviors. The results of such learning processes depend on what in…
Evaluating the structure-coefficient theorem of evolutionary game theory
Alex McAvoy, John Wakeley
In order to accommodate the empirical fact that population structures are rarely simple, modern studies of evolutionary dynamics allow for complicated and highly-heterogeneous spat…
The Moran process on 2-chromatic graphs
Kamran Kaveh, Alex McAvoy, Krishnendu Chatterjee +1
Resources are rarely distributed uniformly within a population. Heterogeneity in the concentration of a drug, the quality of breeding sites, or wealth can all affect evolutionary d…
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…
Fixation probabilities in evolutionary dynamics under weak selection
Alex McAvoy, Benjamin Allen
In evolutionary dynamics, a key measure of a mutant trait's success is the probability that it takes over the population given some initial mutant-appearance distribution. This "fi…
Evolutionary dynamics with game transitions
Qi Su, Alex McAvoy, Long Wang +1
The environment has a strong influence on a population's evolutionary dynamics. Driven by both intrinsic and external factors, the environment is subject to continual change in nat…
Reactive learning strategies for iterated games
Alex McAvoy, Martin A. Nowak
In an iterated game between two players, there is much interest in characterizing the set of feasible payoffs for both players when one player uses a fixed strategy and the other p…
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,…
Public goods games in populations with fluctuating size
Alex McAvoy, Nicolas Fraiman, Christoph Hauert +2
Many mathematical frameworks of evolutionary game dynamics assume that the total population size is constant and that selection affects only the relative frequency of strategies. H…
Environmental fitness heterogeneity in the Moran process
Kamran Kaveh, Alex McAvoy, Martin A. Nowak
Many mathematical models of evolution assume that all individuals experience the same environment. Here, we study the Moran process in heterogeneous environments. The population is…
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…
Fixation probabilities for any configuration of two strategies on regular graphs
Yu-Ting Chen, Alex McAvoy, Martin A. Nowak
Population structure and spatial heterogeneity are integral components of evolutionary dynamics, in general, and of evolution of cooperation, in particular. Structure can promote t…
Autocratic strategies for alternating games
Alex McAvoy, Christoph Hauert
Repeated games have a long tradition in the behavioral sciences and evolutionary biology. Recently, strategies were discovered that permit an unprecedented level of control over re…
Stochastic selection processes
Alex McAvoy
We propose a mathematical framework for natural selection in finite populations. Traditionally, many of the selection-based processes used to describe cultural and genetic evolutio…
Autocratic strategies for iterated games with arbitrary action spaces
Alex McAvoy, Christoph Hauert
The recent discovery of zero-determinant strategies for the iterated Prisoner's Dilemma sparked a surge of interest in the surprising fact that a player can exert unilateral contro…
Structural symmetry in evolutionary games
Alex McAvoy, Christoph Hauert
In evolutionary game theory, an important measure of a mutant trait (strategy) is its ability to invade and take over an otherwise-monomorphic population. Typically, one quantifies…
Asymmetric evolutionary games
Alex McAvoy, Christoph Hauert
Evolutionary game theory is a powerful framework for studying evolution in populations of interacting individuals. A common assumption in evolutionary game theory is that interacti…