Fig. 2: Motivating example of three classes of two-player, symmetric zero-sum games.

a, d, and g, respectively, visualize payoffs for instances of games with transitive, cyclical, and random structure. Each exemplified game consists of two players with 10 strategies each (with payoff row and column labels, {s0, …, s9}, indicating the strategies). Despite the numerous payoff variations possible in each class of games illustrated, each shares the underlying payoff structure shown, respectively, in b, e, and h. Moreover, variations in payoffs can notably impact the difficulty of solving (i.e., finding the Nash equilibrium) of these games, as visualized in c, f, i.