Group Size and Collective Action in a Binary Contribution Game

Nöldeke, Georg and Peña, Jorge. (2020) Group Size and Collective Action in a Binary Contribution Game. Journal of Mathematical Economics, 88. pp. 42-51.

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Official URL: https://edoc.unibas.ch/79524/

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We consider how group size affects the private provision of a public good with non-refundable binary contributions. A fixed amount of the good is provided if and only if the number of contributors reaches an exogenous threshold. The threshold, the group size, and the identical, non-refundable cost of contributing to the public good are common knowledge. Our focus is on the case in which the threshold is larger than one, so that teamwork is required to produce the public good. We show that both expected payoffs and the probability that the public good is obtained in the best symmetric equilibrium are decreasing in group size. We also characterize the limit outcome when group size converges to infinity and provide precise conditions under which the expected number of contributors is decreasing or increasing in group size for sufficiently large groups.
Faculties and Departments:06 Faculty of Business and Economics > Departement Wirtschaftswissenschaften > Professuren Wirtschaftswissenschaften > Mikroökonomische Theorie (Nöldeke)
UniBasel Contributors:Nöldeke, Georg
Item Type:Article, refereed
Article Subtype:Research Article
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:29 Dec 2020 11:58
Deposited On:29 Dec 2020 11:58

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