Solved

(See Problem 2

question 20

Multiple Choice

(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:

Environmental Racism

The practice of disproportionately exposing communities of color to environmental hazards and pollution, reflecting a form of systemic racial discrimination.

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General term for conditions that affect the physical or mental well-being of an individual or population.

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A broad group of diseases characterized by the uncontrolled growth and spread of abnormal cells in the body.

Lung Disease

A variety of illnesses affecting the lungs, leading to decreased ability to breathe and other associated health problems.