U2. Agroup has 100 members. Each person can choose to participate or not participate in a common project. If n of them participate in the project, then each participant derives the benefit p(n) = n, and each of the (100 – n) shirkers derives the benefit s(n) = 3n -180. %3D (a) Is this collective-action problem an example of a prisoners' dilemma, a game of chicken, or an assurance game? (b) Write the expression for the total social payoff of the group. (c) Show, either graphically or mathematically, that the maximum total social payoff for the group occurs when n = 100.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter1: The Role And Method Of Economics
Section: Chapter Questions
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U2. A group has 100 members. Each person can choose to
participate or not participate in a common project. If n
of them participate in the project, then each
participant derives the benefit p(n) = n, and each of the
(100 - n) shirkers derives the benefit s(n) = 3n -180 .
(a) Is this collective-action problem an example of a
prisoners' dilemma, a game of chicken, or an
assurance game?
(b) Write the expression for the total social payoff of
the group.
(c) Show, either graphically or mathematically, that
the maximum total social payoff for the group
occurs when n = 100.
(d) What difficulties will arise in trying to get all 100
group members to participate?
(e) How might the group try to overcome the
difficulties identified in part (d)?
Transcribed Image Text:U2. A group has 100 members. Each person can choose to participate or not participate in a common project. If n of them participate in the project, then each participant derives the benefit p(n) = n, and each of the (100 - n) shirkers derives the benefit s(n) = 3n -180 . (a) Is this collective-action problem an example of a prisoners' dilemma, a game of chicken, or an assurance game? (b) Write the expression for the total social payoff of the group. (c) Show, either graphically or mathematically, that the maximum total social payoff for the group occurs when n = 100. (d) What difficulties will arise in trying to get all 100 group members to participate? (e) How might the group try to overcome the difficulties identified in part (d)?
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