“mixed strategy”的概念、定义、翻译、参考文献-科学参考

mixed strategy

Mathematics

In a matrix game, if a player chooses the different rows (or columns) with certain probabilities, the player is using a mixed strategy. If the game is given by an m × n matrix, a mixed strategy for one player, R, is given by an m‐tuple x = (x₁,x₂,…,x_m) which is a probability vector. Here x_i is the probability that R chooses the ith row. If $x = (0, \frac{1}{4}, \frac{3}{4})$ , then R never chooses the first row and chooses the third row three times as often as the second row. A mixed strategy for the other player, C, is defined similarly.

Economics

The use of a random mixture of strategies in a game. The choice between two or more strategies on any particular occasion depends on using some randomizing device, such as tossing a coin or rolling a die. An agent using a mixed strategy does not know what their own actions will be on any particular occasion until the randomizing device has been used, but they do know the probability with which different actions will be chosen. The benefit of adopting a mixed strategy is to make it impossible for any opponent to predict a player’s actions with certainty, however well they understand the player’s psychology.

单词	mixed strategy
释义	mixed strategy Mathematics In a matrix game, if a player chooses the different rows (or columns) with certain probabilities, the player is using a mixed strategy. If the game is given by an m × n matrix, a mixed strategy for one player, R, is given by an m‐tuple x = (x₁,x₂,…,x_m) which is a probability vector. Here x_i is the probability that R chooses the ith row. If $x = (0, \frac{1}{4}, \frac{3}{4})$ , then R never chooses the first row and chooses the third row three times as often as the second row. A mixed strategy for the other player, C, is defined similarly. Economics The use of a random mixture of strategies in a game. The choice between two or more strategies on any particular occasion depends on using some randomizing device, such as tossing a coin or rolling a die. An agent using a mixed strategy does not know what their own actions will be on any particular occasion until the randomizing device has been used, but they do know the probability with which different actions will be chosen. The benefit of adopting a mixed strategy is to make it impossible for any opponent to predict a player’s actions with certainty, however well they understand the player’s psychology.
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