Three persons, Ann, Bob and Chad, have to decide to work or shirk in a group project.
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Question:
Three persons, Ann, Bob and Chad, have to decide to work or shirk in a group project. Payoffs are given according to the following information.
• The three group members will receive the Sante grade.
• If at least two group members work the grade assigned will be good, giving each student four units of payoff.
• If only one group member works the grade assigned will be mediocre, giving each student two units of payoff.
• If no group member works the grade assigned will be bad, giving each student zero units of payoff.
• Working implies an effort worth losing one unit of payoff.
(a) Create the payoff matrix for this three-player game.
(b) Does any player have a dominant strategy?
(c) What are the pure strategy NE of the game?
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