= Binary game
A <binary game> is a finite <normal-form game> in which each player's <payoff> at every pure <strategy profile> is either zero or one. This describes the numerical <payoffs>, not the number of players or available actions. A <mixed strategy> can have an intermediate <expected payoff>. If a weighted average of binary <payoffs> is at least one, every positive-weight term must equal one; this observation makes pure-by-mixed domination unusually simple in <binary games>.
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