The multiple-volunteers principle

Goldlücke, Susanne and Tröger, Thomas
Authors registered in the RePEc Author Service: Susanne Goldlücke and Thomas Troeger

No 15580, CEPR Discussion Papers from C.E.P.R. Discussion Papers

Abstract: We consider mechanisms for assigning an unpleasant task among a group of agents with heterogenous abilities. We emphasize threshold rules: every agent decides whether or not to ``volunteer''; if the number of volunteers exceeds a threshold number, the task is assigned to a random volunteer; if the number is below the threshold, the task is assigned to a random non-volunteer. We show that any non-extreme threshold rule allows for a symmetric equilibrium in which every ability type is strictly better off than in a random assignment. This holds for arbitrarily high costs of performing the task. Within the class of binary-action mechanisms, some threshold rule is utilitarian optimal. The first-best can be approximated arbitrarily closely with a threshold rule as the group size tends to infinity; that is, there exist threshold numbers such that with probability arbitrarily close to 1 the task is performed by an agent with an ability arbitrarily close to the highest possible ability. The optimal threshold number goes to infinity as the group size tends to infinity.

Keywords: Volunteering; Mechanism design without transfers; Public good provision (search for similar items in EconPapers)
JEL-codes: D82 H41 (search for similar items in EconPapers)
Date: 2020-12
New Economics Papers: this item is included in nep-des, nep-gth and nep-mic
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://cepr.org/publications/DP15580 (application/pdf)
CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org

Related works:
Working Paper: The Multiple-Volunteers Principle (2020)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:cpr:ceprdp:15580

Ordering information: This working paper can be ordered from
https://cepr.org/publications/DP15580

Access Statistics for this paper

More papers in CEPR Discussion Papers from C.E.P.R. Discussion Papers Centre for Economic Policy Research, 33 Great Sutton Street, London EC1V 0DX.
Bibliographic data for series maintained by ().