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(See Problem 2

question 20

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(See Problem 2.) Arthur and Bertha are asked by their boss to vote on a company policy. Each of them will be allowed to vote for one of three possible policies, A, B, and C. Arthur likes A best, B second best, and C least. Bertha likes B best, A second best, and C least. The money value to Arthur of outcome C is $0, outcome B is $1, and outcome A is $4. The money value to Bertha of outcome C is $0, outcome B is $4, and outcome A is $1. The boss likes outcome C best, but if Arthur and Bertha both vote for one of the other outcomes, he will pick the outcome they voted for. If Arthur and Bertha vote for different outcomes, the boss will pick C. Arthur and Bertha know this is the case. They are not allowed to communicate with each other, and each decides to use a mixed strategy in which each randomizes between voting for A or for B. What is the mixed strategy equilibrium for Arthur and Bertha in this game?


Definitions:

Healthcare Wholesale

The business of selling healthcare products in large quantities, often to be retailed by others.

Market Structure

Market structure refers to the organizational and other characteristics of a market, including the level of competition and the nature of market participants.

Oligopoly

An industry with just a few firms.

Perfect Competition

A market structure characterized by a large number of small firms, homogenous products, free entry and exit from the market, and full information availability, leading to no single firm influencing the market price.

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