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Updating Optimal Decisions Using Game Theory and Exploring Risk Behavior Through Response Surface Methodology
Hardcover
General MathematicsGeneral Political Science
ISBN13: 9781025114781
Publisher: Hutson Street Press
Published: May 22 2025
Pages: 158
Weight: 0.88
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English
This thesis utilizes game theory within a framework for updating optimal decisions based on new information as it becomes available. Methodology is developed that allows a decision maker to change his perceived optimal policy based on available knowledge of the opponents strategy, where the opponent is a rational decision maker or a random component nature. Utility theory is applied to account for the different risk preferences of the decision makers. Furthermore, response surface methodology is used to explore good risk strategies for the decision maker to approach each situation with. The techniques are applied to a combat scenario, a football game, and a terrorist resource allocation problem, providing a decision maker with the best possible strategy given the information available to him. The results are intuitive and exemplify the benefits of using the methods.
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Updating Optimal Decisions Using Game Theory and Exploring Risk Behavior Through Response Surface Methodology
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Jordan, Jeremy D.
Updating Optimal Decisions Using Game Theory and Exploring Risk Behavior Through Response Surface Methodology
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