(See Problem 2

question 13

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 $5. 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?

• A) Arthur and Bertha each votes for A with probabilityand for B with probability.
• B) Arthur votes for A with probabilityand for B with probability. Bertha votes for A with probabilityand for B with probability.
• C) .Arthur votes for A with probabilityand for B with probability. Bertha votes for A with probabilityand for B with probability.
• D) Arthur votes for A with probabilityand for B with probability. Bertha votes for A with probabilityand for B with probability
• E) Arthur votes for A and Bertha votes for B.

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Definitions:

Manifest Functions

The recognized and intended consequences of any social pattern, process, or structure.

Expressive Functions

Activities and roles focused on the emotional or relational aspects of a group or family, emphasizing support, communication, and emotional bonding.

Instrumental Functions

The practical and task-oriented activities or roles performed by an individual or within an entity, aimed at achieving specific objectives.

Conflict Perspective

A sociological approach that views social and economic institutions as tools of the struggle between groups or classes, used to maintain inequality and the dominance of the ruling class.