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In this context, we will for brevity sometimes refer to reduced strategies simply as “strategies”. This is justified because, when looking at the reduced strategic form, the concepts of dominance and equilibrium can be applied directly to the reduced strategic form, for example to the table defining a two-player game. Then “strategy” means simply a row or column of that table. The term “reduced strategy” is only relevant when referring to the extensive form. 13 are identified as those pairs of (reduced) strategies that are best responses to each other, with both payoffs surrounded by a box in the respective cell of the table.

The game “chicken”, its symmetry indicated by the diagonal dotted line. II ❅ ❅ I ❅ c (b) s 2 II ❅ ❅ I ❅. . 0 C .. C 1 0 0 0 1 .. c 0 .. .. .. 1 S 2 .. 1 .. .. 7 s .. 2 2 0 .. 0 .. .. .. . The “battle of sexes” game (a), which is symmetric if the strategies of one player are exchanged, as shown in (b). and c) or to a sports event (strategies S and s). The players have different payoffs arising from which event they go to, but that payoff is zero if they have to attend the event alone.

The game “chicken”, its symmetry indicated by the diagonal dotted line. II ❅ ❅ I ❅ c (b) s 2 II ❅ ❅ I ❅. . 0 C .. C 1 0 0 0 1 .. c 0 .. .. .. 1 S 2 .. 1 .. .. 7 s .. 2 2 0 .. 0 .. .. .. . The “battle of sexes” game (a), which is symmetric if the strategies of one player are exchanged, as shown in (b). and c) or to a sports event (strategies S and s). The players have different payoffs arising from which event they go to, but that payoff is zero if they have to attend the event alone.

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