Two-Agent Games on Graphs
Statistical Mechanics
2017-01-18 v1
Abstract
We study the dynamics of evolution of points of agents placed in the vertices of a graph within the rules of two-agent units of competition where an edge is randomly chosen and the agent with higher points gets a new point with a probability . The model is closely connected to generalized vertex models and anti-ferromagnetic Potts models at zero temperature. After studying the most general properties for generic graphs we confine the study to discrete d-dimensional tori. We mainly focus on the ring and torus graphs.
Keywords
Cite
@article{arxiv.1701.04771,
title = {Two-Agent Games on Graphs},
author = {Tonguç Rador},
journal= {arXiv preprint arXiv:1701.04771},
year = {2017}
}