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. 2010 Mar 8;107(12):5500–5504. doi: 10.1073/pnas.0912214107

Fig. 1.

Fig. 1.

For 2 × 2 games, the payoff matrix has 4 entries. If we increase the number of strategies, the payoff matrix grows in size. For example, the payoff matrix of a 3 × 3 game has 9 entries. If we increase the number of players, the payoff matrix becomes higher-dimensional. For example, two-strategy games with three players are described by 2 × 2 × 2 payoff structures with 8 entries. In general, a d-player game with n strategies is described by nd payoff values.