Compare and contrast the Winning Strategy Theorem and the Equilibrium Existence Theorem .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.