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Colonel Blotto and Count Baloney are opposing commanders in a battle. There are three locations valued 1, 2, 3, and each comman- der has two military units to deploy (both to the same location or split to different locations). If one commander sends more units to a location than the other, that commander captures the location and wins its value. If both commanders send the same number of units to a location, it is not captured and nothing is won at this location. (a) Model this conflict as a zero-sum matrix game. (b) Use the method of eliminating dominated (not necessarily strictly dominated!) strategies to reduce this to a 1 ×1 game. (c) What strategy would you recommend to these commanders and why?

Colonel Blotto and Count Baloney are opposing commanders in a battle. There are three locations valued 1, 2, 3, and each comman- der has two military units to deploy (both to the same location or split to different locations). If one commander sends more units to a location than the other, that commander captures the location and wins its value. If both commanders send the same number of units to a location, it is not captured and nothing is won at this location. (a) Model this conflict as a zero-sum matrix game. (b) Use the method of eliminating dominated (not necessarily strictly dominated!) strategies to reduce this to a 1 ×1 game. (c) What strategy would you recommend to these commanders and why?

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Colonel Blotto and Count Baloney are opposing commanders in a battle. There are three locations valued 1, 2, 3, and each comman- der has two military units to deploy (both to the same location or split to different locations). If one commander sends more units to a location than the other, that commander captures the location and wins its value. If both commanders send the same number of units to a location, it is not captured and nothing is won at this location. (a) Model this conflict as a zero-sum matrix game. (b) Use the method of eliminating dominated (not necessarily strictly dominated!) strategies to reduce this to a 1 ×1 game. (c) What strategy would you recommend to these commanders and why?
Transcribed Image Text:Colonel Blotto and Count Baloney are opposing commanders in a battle. There are three locations valued 1, 2, 3, and each comman- der has two military units to deploy (both to the same location or split to different locations). If one commander sends more units to a location than the other, that commander captures the location and wins its value. If both commanders send the same number of units to a location, it is not captured and nothing is won at this location. (a) Model this conflict as a zero-sum matrix game. (b) Use the method of eliminating dominated (not necessarily strictly dominated!) strategies to reduce this to a 1 ×1 game. (c) What strategy would you recommend to these commanders and why?
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