3 papers
math.PR2026
The fractal geometry of opinion formation
Fei Cao, Roberto Cortez
In this manuscript, we introduce and study a variant of the agent-based opinion dynamics proposed in a recent work [9], within the framework of an interacting multi-agent system, w…
math.PR2026
Convergence and stationary distribution of Elo rating systems
Roberto Cortez, Hagop Tossounian
The Elo rating system is a popular and widely adopted method for measuring the relative skill levels of players or teams in various sports and competitions. It assigns players nume…
math.PR2024
Fractal opinions among interacting agents
Fei Cao, Roberto Cortez
We investigate an opinion model consisting of a large group of interacting agents, whose opinions are represented as numbers in . At each update time, two random agents are…