![]() ![]() If, on the other hand, 2 p – 1 = 1 – 2 p, then Row gets the same payoff no matter what Row does. Similarly, if 2 p – 1 < 1 – 2 p, then Row is better off playing Tails than Heads. If 2 p – 1 > 1 – 2 p, then Row is better off, on average, playing Heads than Tails. This is summarized in Figure 16.14 "Mixed strategy in matching pennies". Similarly, if Row plays Tails, Row gets –1 with probability p (when Column plays Heads), and 1 with probability (1 – p), for an expected value of 1 – 2 p. Then if Row plays Heads, Row gets 1 with probability p and –1 with probability (1 – p), for an expected value of 2 p – 1. Suppose that Row believes Column plays Heads with probability p.
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