Consider an election with three voters labeled 1, 2,3 and three candidates: L from the left wing party, Rfrom the right wing party, and C from the center party. Voters get utility from each candidate winning as follows: |LCR u1(-) | x u2(:)| 2 u3(:) | z where r > y > z. Each voter selects a candidate and the candidate with the most votes wins. In the case of a tie, all candidates with the most votes win with equal probability. (a) List the pure strategies for each player. Which of them are strictly dominated? Which of them are weakly dominated? (b) Is there a pure strategy Nash equilibrium of the game where L wins outright (without a tie)? Explain why or why not.

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A: Total = 12 students Electrical = 5 students Telecommunication = 4 students  Computer = 3 students

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A: Solution Dear student as per guidelines we answer the first question only when multiple questions…

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A: Department Number of students Electrical 5 telecommunication 3 Computer 4 Total 12…

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: Given, To solve

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A:

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A: Since you have posted multiple questions, we will provide the solution only to the first question as…

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A: Here I am attaching image so that you understand each and every step.

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