单词 | maximin |
释义 | maximin The highest value of a set of numbers, each found by taking the minimum of some further set. The maximin is a useful concept in game theory. Suppose that i possible strategies of firm A, which seeks to maximize the outcome, say the market share of A, are represented by the rows in a pay-off matrix, and j possible strategies of firm B, which seeks to minimize the outcome, are represented by the columns in the same matrix. Entries xij represent the outcome if A chooses strategy i and B chooses strategy j. If A has to choose its strategy first, B will choose the row minimum, that is the strategy with the minimum xij. A therefore chooses the strategy i for which this row minimum is greatest: this is the maximin. If the choices are simultaneous, and A does not know what strategy B will choose, the maximin value of xij is the worst outcome that can result for A. |
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