Write a Matlab function that computes the value and security strategies (over mixed strategies) of a...
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Write a Matlab function that computes the value and security strategies (over mixed strategies) of a two player, two move, zero-sum game. The input/output syntax should be of the form: [P1, P2, V1, V2] Compute Value (M) where = ● P1 and P2 are the security strategies of player 1 and player 2 respectively. Both outputs should be vectors of dimension 2 × 1. ● V1 and V2 are the security levels of player 1 and player 2 respectively. • M is a matrix of dimension 2 × 2 that captures the row player's payoff in the zero-sum game. • HINT: A player's strategy can be expressed as a probability distribution (p, 1-p) since a player has only two moves. Feel free to consider discrete values for p of the form p = 0 : 0.01 : 1. Note that this discretization might mean that V1 and V2 are slightly different from the true value of the game. Write a Matlab function that computes the value and security strategies (over mixed strategies) of a two player, two move, zero-sum game. The input/output syntax should be of the form: [P1, P2, V1, V2] Compute Value (M) where = ● P1 and P2 are the security strategies of player 1 and player 2 respectively. Both outputs should be vectors of dimension 2 × 1. ● V1 and V2 are the security levels of player 1 and player 2 respectively. • M is a matrix of dimension 2 × 2 that captures the row player's payoff in the zero-sum game. • HINT: A player's strategy can be expressed as a probability distribution (p, 1-p) since a player has only two moves. Feel free to consider discrete values for p of the form p = 0 : 0.01 : 1. Note that this discretization might mean that V1 and V2 are slightly different from the true value of the game.
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Related Book For
Numerical Methods With Chemical Engineering Applications
ISBN: 9781107135116
1st Edition
Authors: Kevin D. Dorfman, Prodromos Daoutidis
Posted Date:
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