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.
The term "Binary Game" can refer to several different concepts depending on the context. Here are some possibilities: 1. **Binary Number Games**: These are educational games aimed at teaching or reinforcing concepts related to binary numbers, which are the basis of computer science and digital electronics. Players might convert decimal numbers to binary or perform operations using binary numbers.
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