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Interim Efficiency in a Public Goods Problem

Ledyard, John O. and Palfrey, Thomas R. (1997) Interim Efficiency in a Public Goods Problem. Social Science Working Paper, 956. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20170816-164222869

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Abstract

We consider a Bayesian public goods environment with independent private valuations, where a public good can be produced at constant returns to scale, up to some capacity. We fully characterize the interim efficient allocation rules and prove that they correspond to decision rules based on a virtual cost-benefit criterion, together with the appropriate incentive taxes. Compared to the classical Lindahl-Samuelson solution there are generally distortions that depend on the welfare weights because the efficient way to reduce the tax burden on low-valuation (resp: high-valuation) types is to reduce (resp: increase) the level of provision of the public good. Second, we explore the implementation of efficient allocations by means of simple, dominant strategy voting rules, called referenda. In a referendum, individuals vote for or against production of the public good. If a sufficiently large fraction vote in favor, the good is provided at maximum capacity and costs are distributed equally across the population. Otherwise the good is not produced. We prove that for each interim efficient allocation rule there exists a referendum that approximates that achieves the same total surplus in large populations. Furthermore, if there is common value uncertainty in addition to the private valuations uncertainty, then the approximately optimal referendum is unique.


Item Type:Report or Paper (Working Paper)
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http://resolver.caltech.edu/CaltechAUTHORS:20160308-110828694Related ItemPublished Version
ORCID:
AuthorORCID
Palfrey, Thomas R.0000-0003-0769-8109
Additional Information:Second revised version. Previously revised November 1996. Original dated to February 1996. We are grateful for the support of the National Science Foundation grant no. SBR-9223701, and of the New Millennium Program of the Jet Propulsion Laboratory of NASA. The second author is grateful for the hospitality and research support at Laboratoire d'Economie Industrielle and at Centre d'Enseignement et de Recherche en Analyse Socio-Economique. The paper has benefited from the comments of seminar participants at Universite de la Mediterranee, Northwestern University, Universite de Cergy-Pontoise, the Conference on Efficiency in Economics with Public Goods and Private Information at the University of Venice, the Roy Seminar at Ecole des Ponts et Chaussees, the 1996 Francqui Prize Colloquium in Brussels, and from discussions with Louis-Andre Gerard-Varet and Jean-Charles Rochet. Three referees and a coeditor provided additional helpful suggestions which have improved the paper. The usual disclaimer applies. Published as Ledyard, John O. and Palfrey, Thomas R. (1999) Interim Efficiency in a Public Goods Problem. Econometrica, 67 (2). pp. 435-448.
Group:Social Science Working Papers
Funders:
Funding AgencyGrant Number
NSFSBR-9223701
JPL New Millennium ProgramUNSPECIFIED
Laboratoire d'Economie IndustrielleUNSPECIFIED
Centre d'Enseignement et de Recherche en Analyse Socio-EconomiqueUNSPECIFIED
Subject Keywords:public goods, mechanism design, referendum, interim efficiency, incentive compatibility, private values
Series Name:Social Science Working Paper
Issue or Number:956
Classification Code:JEL: O24, O26
Record Number:CaltechAUTHORS:20170816-164222869
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170816-164222869
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80533
Collection:CaltechAUTHORS
Deposited By: Jacquelyn Bussone
Deposited On:17 Aug 2017 16:25
Last Modified:22 Nov 2019 09:58

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