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

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 vmax > 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 vmax > 1, and phase segregation state when vmax = 1. Theoretical analyses give an agreement with numerical results.