A. Do you want to impose a tax to fund a light rail system? Yes or No. B. Do you want to impose a tax to improve the bus system? Yes or No. Suppose there are three voters: Anya, Ben, and Claire. Suppose Anya has a car and doesn't want her taxes increased and therefore opposes both measures. Anya's favorite outcome is when neither initiative passes. Her second favorite outcome is when only one passes, in which case she is indifferent as to which one passes. Her least favorite outcome is if both pass. Ben does not own a car and uses the bus system which is in terrible shape. Ben's favorite outcome is for A to pass and B to fail. His second favorite outcome is for B to pass and A to fail. His third favorite outcome is for both to pass. His least favorite outcome is for both to fail. Claire's preferences are the same as Ben's. Consider a game in which both initiatives are on the ballot at the same time, and each initiative passes if it receives a majority vote. Each player must vote on both initiatives. We can represent a strategy by a pair of letters both of which are either Y or N. For example (Y,N) represents a Yes vote on A and a No vote on B and (Y,Y) represents a yes vote on both, and so on. 1. Which strategies are weakly dominated for Anya? Provide proof for your answer. 2. Are any strategies weakly dominated for Ben? Provide proof for your answer. 3. Find all of the Nash equilibria in this game in which Anya votes No on both initiatives. A. Do you want to impose a tax to fund a light rail system? Yes or No. B. Do you want to impose a tax to improve the bus system? Yes or No. Suppose there are three voters: Anya, Ben, and Claire. Suppose Anya has a car and doesn't want her taxes increased and therefore opposes both measures. Anya's favorite outcome is when neither initiative passes. Her second favorite outcome is when only one passes, in which case she is indifferent as to which one passes. Her least favorite outcome is if both pass. Ben does not own a car and uses the bus system which is in terrible shape. Ben's favorite outcome is for A to pass and B to fail. His second favorite outcome is for B to pass and A to fail. His third favorite outcome is for both to pass. His least favorite outcome is for both to fail. Claire's preferences are the same as Ben's. Consider a game in which both initiatives are on the ballot at the same time, and each initiative passes if it receives a majority vote. Each player must vote on both initiatives. We can represent a strategy by a pair of letters both of which are either Y or N. For example (Y,N) represents a Yes vote on A and a No vote on B and (Y,Y) represents a yes vote on both, and so on. 1. Which strategies are weakly dominated for Anya? Provide proof for your answer. 2. Are any strategies weakly dominated for Ben? Provide proof for your answer. 3. Find all of the Nash equilibria in this game in which Anya votes No on both initiatives