Production Targets and Free Disposal in the Private Provision of Public Goods
AbstractIn a collective-action game a player`s payoff is the sum of (i) a private component that depends only on that player`s action, and (ii) a public component, common to all players and dependent upon all actions. A classic application is the private provision of a public good. Play evolves: strategy revisions are made according to a multinomial-logit choice rule. Long-run behaviour is determined by a potential function, which incorporates the private (not social) benefits of activity. Behaviour may be influenced only by reducing public-good output (an application of a free-disposal property). When welfare is the expected time average of aggregate payoffs, it is socially optimal to either leave production well alone, or damage it as much as possible. This often takes the form of a production target, where all output is discarded unless some threshold is reached, potentially generating an equilibrium-selection problem. When the evolution of play approximates a best-reply process, the optimal threshold corresponds to the output level that an individual who pays all private costs but enjoys only private benefits would be just willing to provide.
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Bibliographic InfoPaper provided by University of Oxford, Department of Economics in its series Economics Series Working Papers with number 231.
Date of creation: 01 Mar 2005
Date of revision:
Public Goods; Potential Games; Evolution; Quantal Response; Equilibrium Selection; Thresholds;
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-03-18 (All new papers)
- NEP-DCM-2006-03-18 (Discrete Choice Models)
- NEP-PBE-2006-03-18 (Public Economics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Lawrence Blume, 1993.
"The Statistical Mechanics of Best-Response Strategy Revision,"
Game Theory and Information
9307001, EconWPA, revised 26 Jan 1994.
- Blume Lawrence E., 1995. "The Statistical Mechanics of Best-Response Strategy Revision," Games and Economic Behavior, Elsevier, vol. 11(2), pages 111-145, November.
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