Arthur and Bertha Are Asked by Their Boss to Vote

question 4

Multiple Choice

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 probability 1/2 and for B with probability 1/2.
• B)Arthur votes for A with probability 5/6 and for B with probability 1/6.Bertha votes for A with probability 1/5 and for B with probability 4/5.
• C)Arthur votes for A with probability 1/5 and for B with probability 4/5.Bertha votes for A with probability 5/6 and for B with probability 1/6.
• D)Arthur votes for A with probability 5/9 and for B with probability 4/9.Bertha votes for A with probability 4/9 and for B with probability 5/9.
• E)Arthur votes for A and Bertha votes for B.

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Grasp the concept of forming and testing hypotheses in scientific investigations, including the use of statistical analysis.

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An organized, comprehensive plan that outlines the advertising, sales, and marketing efforts for a specific period of time, with the goal of achieving identified business objectives.

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Various strategies or applications used by businesses to analyze, improve, and automate their marketing efforts.

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Refers to the total satisfaction received from consuming a good or service.

BMW

A German multinational company that produces luxury vehicles and motorcycles.