Each of n people simultaneously chooses whether or not to contribute a fixed amount toward the provision of a public good. The good is provided if and only if at least k people contribute, where 2 < k < n; if it is not provided, contributions are not refunded. Each person ranks outcomes from best to worst as follows: » (i) any outcome in which the good is provided and she does not contríbute. » (ii) any outcome in which the good is provided and she contributes. ► (ii) any outcome in which the good is not provided and she does not contribute. » (iv) any outcome in which the good is not provided and she contributes. If wo troat above situuation cas stratogic ganme fincd its No sh

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter11: Public Goods And Common Resources
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Each of n people simultaneously chooses whether or not to
contribute 'a fixed amount toward the provision of a public good. The
good is provided if and only if at least k people contribute, where 2 <
k < n; if it is not provided, contributions are not refunded. Each
person ranks outcomes from best to worst as follows:
» (i) any outcome in which the good is provided and she does not
contribute.
(ii) any outcome in which the good is provided and she contributes.
(iii) any outcome in which the good is not provided and she does not
contribute.
» (iv) any outcome in which the good is not provided and she contributes.
If we treat above situation as a strategic game, find its Nash
equilibria, to be specific, is there a Nash equilibrium in which more
than k people contribute? One in which k people contribute? One in
which fewer than k people contribute? Explain your reasoning.
Transcribed Image Text:Each of n people simultaneously chooses whether or not to contribute 'a fixed amount toward the provision of a public good. The good is provided if and only if at least k people contribute, where 2 < k < n; if it is not provided, contributions are not refunded. Each person ranks outcomes from best to worst as follows: » (i) any outcome in which the good is provided and she does not contribute. (ii) any outcome in which the good is provided and she contributes. (iii) any outcome in which the good is not provided and she does not contribute. » (iv) any outcome in which the good is not provided and she contributes. If we treat above situation as a strategic game, find its Nash equilibria, to be specific, is there a Nash equilibrium in which more than k people contribute? One in which k people contribute? One in which fewer than k people contribute? Explain your reasoning.
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