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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?
One-group Pretest-posttest Design
A research design in which a single group is measured or tested before and after an intervention to assess change.
Participants Change
The phenomenon where individuals in a study alter their behavior or responses due to awareness of being observed or other study factors.
Time
A continuous sequence of events, perceived by its passage and measurable in hours, minutes, and seconds.
Experimental Manipulation
The process of intentionally changing a variable in an experiment to study its effects on other variables.
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