Eur. Phys. J. B (2012) 85: 78
https://doi.org/10.1140/epjb/e2012-20904-x

Regular Article

Dilemma game in a cellular automaton model with a non-signalized intersection

¹ Department of Physics, Fudan University, Shanghai 200433, P.R. China
² Department of Physics and Siyuan Laboratory, Jinan University, Guangzhou 510632, P.R. China

^a e-mail: tzwphys@jnu.edu.cn

Received: 5 November 2011
Received in final form: 24 December 2011
Published online: 27 February 2012

Abstract

We numerically study traffic flow, energy dissipation and social payoff in the Nagel-Schreckenberg model with a non-signalized intersection. In terms of game theory, we analyze dilemma game observed in some traffic states. There are four traffic phases: free-flow phase, phase-segregated 1, phase-segregated 2 and jammed phase in the case of v_max > 1. In phase-segregated 1, maximum traffic flow corresponds to minimal energy dissipation. Dilemma game is observed at the phase-segregated 1 in the case of v_max > 1, and phase segregation state when v_max = 1. Theoretical analyses give an agreement with numerical results.