Compare and contrast the Winning Strategy Theorem and the Equilibrium Existence Theorem (in the forms that these two results were stated and discussed in ECN214). In your own words, describe the hypotheses and the conclusions of each theorem. Which result (if either) has more demanding hypotheses? Which (if either) has more powerful conclusions? Is one of these two theorems logically stronger than the other? Explain. What is the significance of each result, both for the application of game theory to real world problems and for the historical development of the subject? Give one or more original examples to show how these theorems can be used in practice.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.10P
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Compare and contrast the Winning Strategy Theorem and the Equilibrium Existence Theorem (in the forms that these two results were stated and discussed in ECN214). In your own words, describe the hypotheses and the conclusions of each theorem. Which result (if either) has more demanding hypotheses? Which (if either) has more powerful conclusions? Is one of these two theorems logically stronger than the other? Explain. What is the significance of each result, both for the application of game theory to real world problems and for the historical development of the subject? Give one or more original examples to show how these theorems can be used in practice.
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