Table 1. Rewarding schemes to explore the transition from competitive to the cooperative strategy.

	L player scores	R player scores
L player reward	ρ	−1
R player reward	−1	ρ

For the cases we study ρ ∈ [−1, 1]. Example: with ρ = −0.5, when the left player scores, it receives −0.5 points and the right player receives -1 points.