arXiv subjects

Tim Halpin-Healy

Publications and source records attributed to Tim Halpin-Healy.

2 recordsLinked to original sources

arXiv2003

Population Fragmentation and Party Dynamics in an Evolutionary Political Game

We examine kinetic symmetry breaking phenomena in an evolutionary political game in which voters, inhabiting a multidimensional ideological space, cast ballots via selection mechanisms subject to the competing forces of conformity and dissent. Our understanding of the spatiotemporally complex population dynamics is informed by a system of nonlinear replicator equations, discrete deterministic cousin of the original stochastic Seceder Model.

cond-mat.stat-mech↗

arXiv2002

Dynamics of Multidimensional Secession

We explore a generalized Seceder Model with variable size selection groups and higher dimensional genotypes, uncovering its well-defined mean-field limiting behavior. Mapping to a discrete, deterministic version, we pin down the upper critical size of the multiplet selection group, characterize all relevant dynamically stable fixed points, and provide a complete analytical description of its self-similar hierarchy of multiple branch solutions.

cond-mat.stat-mech↗