(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:

Imbibition

The absorption of water by plant tissues, particularly seeds, leading to swelling and the initiation of germination.

Oxygen

A chemical element with symbol O and atomic number 8, essential for most forms of life on Earth, involved in breathing and combustion processes.

Generative Cell

In plant biology, a cell within the pollen grain that divides to form two sperm cells during the process of fertilization.

Sperm Cells

Male reproductive cells designed to fertilize female eggs.