| 释义 |
maximin, n. and a.|ˈmæksɪmɪn|
[f. maximum + minimum n. and a., after minimax.]
The largest of a set of minima; usu. attrib. (passing into adj.), spec. designating a strategy that maximizes the smallest gain that a participant in a game or other situation of conflict can guarantee himself. Cf. minimax n. and a.
1954Blackwell & Girshick Theory of Games & Statistical Decisions i. 27 ξ0 is called a maximin strategy for player I. 1957Luce & Raiffa Games & Decisions iv. 81 A strategy which dictates choices c and g on moves 2 and 4, respectively, cannot be maximin for this game. 1958Engineering 21 Mar. 369/2 Player A will thus determine the smallest value in each row and choose the largest of these minima, the ‘maximin’. 1968G. Owen Game Theory vii. 140 Though it is of course impossible to determine how a person will act.., we can nevertheless set a minimum to the amount that a player will accept for himself. This is the amount that he can obtain by unilateral action, whatever the other player does. This is, of course, the maximin value of the game for that player. 1970Beveridge & Schechter Optimization xii. 656 This result represents the mini-max theorem of von Neumann and Morgenstein [sic] (1953), which states that A's expected gain is at least P, and B's expected loss is at worst L, where P = L... The value of P (and L) lies between the row maxi-min and the column mini-max. 1972J. Rawls Theory of Justice §26. 152 The maximin rule tells us to rank alternatives by their worst possible outcomes. |