Equilibrium Existence and Uniqueness in Public Good Models: An Elementary Proof via Contraction
AbstractThis paper presents a proof for existence and uniqueness of a Nash equilibrium of a public good model that exploits a simple contraction mapping. The proof establishes both existence and uniqueness in a single exercise that provides intuition about sufficiency. The method of proof is applied not only to the basic pure public good model but also to the impure model. In the latter model, income normality does not play the same pivotal role for existence and uniqueness. Copyright 1999 by Blackwell Publishing Inc.
Download InfoTo our knowledge, this item is not available for download. To find whether it is available, there are three options:
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
Bibliographic InfoPaper provided by Department of Economics, Keele University in its series Keele Department of Economics Discussion Papers (1995-2001) with number 99/02.
Date of creation: 1999
Date of revision:
Publication status: Published in Journal of Public Economic Theory, Vol. 1, 1999, pages 499 - 509.
Contact details of provider:
Postal: Department of Economics, University of Keele, Keele, Staffordshire, ST5 5BG - United Kingdom
Phone: +44 (0)1782 584581
Fax: +44 (0)1782 717577
Web page: http://www.keele.ac.uk/depts/ec/cer/
More information through EDIRC
Postal: Department of Economics, Keele University, Keele, Staffordshire ST5 5BG - United Kingdom
Other versions of this item:
- Cornes, Richard & Hartley, Roger & Sandler, Todd, 1999. " Equilibrium Existence and Uniqueness in Public Good Models: An Elementary Proof via Contraction," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(4), pages 499-509.
- Cornes, Richard & Hartley, Roger & Sandler, Todd, 1999. "Equilibrium Existence and Uniqueness in Public Good Models: An Elementary Proof Via Contraction," Staff General Research Papers 1630, Iowa State University, Department of Economics.
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- R Cornes & R Hartley, 2005. "The Geometry of Aggregative Games," The School of Economics Discussion Paper Series 0514, Economics, The University of Manchester.
- Clive Fraser, 2012. "Milton Friedman, the Demand for Money and the ECB’s Monetary-Policy Strategy," Discussion Papers in Economics 12/06, Department of Economics, University of Leicester.
- Thomas Gaube, 1999. "Group size and free riding when private and public goods are gross substitutes," Bonn Econ Discussion Papers bgse13_2000, University of Bonn, Germany, revised May 2000.
- Lohse, Tim & Julio R. Robledo & Ulrich Schmidt, 2006.
"Self-Insurance and Self-Protection as Public Goods,"
Diskussionspapiere der Wirtschaftswissenschaftlichen FakultÃ¤t der Leibniz UniversitÃ¤t Hannover
dp-354, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
- Tim Lohse & Julio R. Robledo & Ulrich Schmidt, 2012. "Self‐Insurance and Self‐Protection as Public Goods," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 79(1), pages 57-76, 03.
- Ulrich Schmidt, 2010. "Self-Insurance and Self-Protection as Public Goods," Kiel Working Papers 1613, Kiel Institute for the World Economy.
- Schmidt, Ulrich & Robledo, Julio R. & Lohse, Tim, 2007. "Self-Insurance and Self-Protection as Public Goods," Economics Working Papers 2007,16, Christian-Albrechts-University of Kiel, Department of Economics.
- Roy Chowdhury, Prabal, 2006.
"Alliances Among Asymmetric Countries,"
1502, University Library of Munich, Germany.
- Prabal Roy Chowdhury, 2006. "Alliances among asymmetric countries," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 06-04, Indian Statistical Institute, New Delhi, India.
- Flavio Menezes & John Quiggin, 2004.
"Games without Rules,"
Risk & Uncertainty Working Papers
WPR04_7, Risk and Sustainable Management Group, University of Queensland.
- Menezes, Flavio & Quiggin, John, 2004. "Games without Rules," Risk and Sustainable Management Group Working Papers 151166, University of Queensland, School of Economics.
- Emanuela Randon, 2002. "L’analisi positiva dell’esternalità: rassegna della letteratura e nuovi spunti," Working Papers 58, University of Milano-Bicocca, Department of Economics, revised Jun 2002.
- Gaube, Thomas, 2006. "Altruism and charitable giving in a fully replicated economy," Journal of Public Economics, Elsevier, vol. 90(8-9), pages 1649-1667, September.
- Acocella Nicola & Di Bartolomeo Giovanni, 2010. "Conflict of interest and coordination in public good provision," Politica economica, Società editrice il Mulino, issue 3, pages 389-408.
- Gaube, Thomas, 2001. "Group size and free riding when private and public goods are gross substitutes," Economics Letters, Elsevier, vol. 70(1), pages 127-132, January.
- Karen Pittel & Dirk T.G. Rübbelke, 2004.
"Private Provision of Public Goods : Incentives for Donations,"
CER-ETH Economics working paper series
04/34, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
- Karen Pittel & Dirk T.G. Rübbelke, 2006. "Private provision of public goods: incentives for donations," Journal of Economic Studies, Emerald Group Publishing, vol. 33(6), pages 497-519, November.
- Christoph Luelfesmann, 2007. "Dual Provision of Public Policies in Democracy," Discussion Papers dp07-20, Department of Economics, Simon Fraser University.
- Villanacci, Antonio & Zenginobuz, E. Unal, 2006.
"Subscription equilibria with public production: Existence and regularity,"
Research in Economics,
Elsevier, vol. 60(4), pages 199-215, December.
- Villanacci, Antonio & Zenginobuz, Unal, 2005. "Subscription equilibria with public production: Existence and regularity," MPRA Paper 132, University Library of Munich, Germany, revised 21 Sep 2006.
- Villanacci, Antonio & Zenginobuz, E.Unal, 2005. "Existence and regularity of equilibria in a general equilibrium model with private provision of a public good," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 617-636, August.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Martin E. Diedrich) The email address of this maintainer does not seem to be valid anymore. Please ask Martin E. Diedrich to update the entry or send us the correct address.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.