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Optimización y simulación [DOI-IMAT-314]

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Two players A and B compete in a zero-sum game. The payoffs for player A are given in the following 3x3 matrix:

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During the war, two contenders, Alpha and Bravo, must decide whether to build nuclear bombs (BB) or pursue disarmament (PD). Their decisions impact global security and their own standing.

The outcomes are as follows:

  • If both build bombs, it escalates the arms race, leading to mutual insecurity, with payoffs (−5, −5).
  • If one builds bombs while the other disarms, the builder gains dominance (3), while the disarmer is left vulnerable (−2).
  • If both disarm, global security improves, and neither side gains nor loses strategically, resulting in (0,0).

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Two players A and B compete in a zero-sum game. The payoffs for player A are given in the following 3x3 matrix:

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Solve the decision tree under Savage:

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Considering the following Non-Linear Program, the point (1, 2):

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Considering the following Non-Linear Program, select the correct option:

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Considering the following minimization linear program, where the reduced costs at the optimal are cx1=16.67, ce2=6.67 and cx2=16.67, select the correct option:

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