Assignment 1: The Battle of the Sexes Consider the Battle of the Sexes game. In this scenario, the husband and wife want to go to the movies together. The wife wants to see a romance film and the husband wants to see an action movie. Solve for the Nash equilibria to determine the outcome of the game using different strategies. Write a three to five (3-5) page paper that includes the following: Analyze the pure-strategy Nash equilibria, including any issues that arise from the solution, and illustrate graphically. Compute the mixed-strategy Nash equilbria, including any issues that arise from the solution, and illustrate graphically. Examine the solution if the game was played sequentially, including any issues that arise from the solution, and illustrate graphically. Determine the best solution and justify your selection. The format of the paper is to be as follows: Typed, double-spaced, Times New Roman font (size 12), one-inch margins on all sides, APA format. Use headers for each of the subjects being covered, followed by your response. In addition to the three to five (3-5) pages required, a title page and reference page is to be included. The title page is to contain the title of the assignment, your name, the instructor’s name, the course title, and the date. Note: You will be graded on the quality of your answers, the logic/organization of the report, your language skills, and your writing skills.