Nash equilibrium of partially asymmetric three-players zero-sum game with two strategic variables. (arXiv:1809.02465v1 [econ.GN])

We consider a partially asymmetric three-players zero-sum game with two strategic variables. Two players (A and B) have the same payoff functions, and Player C does not. Two strategic variables are $t_i$'s and $s_i$'s for $i=A, B, C$. Mainly we will show the following results.