2. Definition and Finding Nash Equilibria a. Define the concept of Nash equilibrium as precisely as possible. b. Explain the game of Prisoner's Dilemma in detail (with the normal form, you are welcome to use an example from class, the Nash equilibrium, what is the issue with this). Discuss the one-shot game and discuss why the outcome might change if the game is repeated infinitely. Discuss the role of Trigger strategies (use graphs, calculations if you want). c. The Battle of the Sexes game has three Nash equilibria. Use the following normal form of the game to find and explain the three different Nash equilibria (include explanations and calculations). d. The wife calls the husband and says she is at Lincoln Center waiting for the husband to watch a performance of the ballet "The Nutcracker". Set up the game in this case and try to find the Nash Equilibrium (include explanations and calculations). 2. Definition and Finding Nash Equilibria a. Define the concept of Nash equilibrium as precisely as possible. b. Explain the game of Prisoner's Dilemma in detail (with the normal form, you are welcome to use an example from class, the Nash equilibrium, what is the issue with this). Discuss the one-shot game and discuss why the outcome might change if the game is repeated infinitely. Discuss the role of Trigger strategies (use graphs, calculations if you want). c. The Battle of the Sexes game has three Nash equilibria. Use the following normal form of the game to find and explain the three different Nash equilibria (include explanations and calculations). d. The wife calls the husband and says she is at Lincoln Center waiting for the husband to watch a performance of the ballet "The Nutcracker". Set up the game in this case and try to find the Nash Equilibrium (include explanations and calculations)