| 单词 | minimax |
| 释义 | minimax The lowest value of set of numbers, each found by taking the maximum of some further set. The minimax 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 B has to choose its strategy first, A will choose the column maximum, that is the strategy with the maximum xij. B therefore chooses the strategy j for which this column maximum is lowest: this is the minimax. If the choices are simultaneous, and B does not know what strategy A will choose, the minimax value of xij is the worst outcome that can result for B. |
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