On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive Equilibria
We study two cooperative solutions of a market with indivisible goods modeled as a generalized assignment game: Set-wise stability and Core. We first establish that the Set-wise stable set is contained in the Core and it contains the non-empty set of competitive equilibrium payoffs. We then state and prove three limit results for replicated markets. First, the sequence of Cores of replicated markets converges to the set of competitive equilibrium payoffs when the number of replicas tends to infinity. Second, the Set-wise stable set of a two-fold replicated market already coincides with the set of competitive equilibrium payoffs. Third, for any number of replicas there is a market with a Core payoff that is not a competitive equilibrium payoff.
|Date of creation:||05 Mar 2010|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: 34 93 592 1203
Fax: +34 93 542-1223
Web page: http://pareto.uab.cat
More information through EDIRC
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.:
- repec:spr:compst:v:76:y:2012:i:2:p:161-187 is not listed on IDEAS
- Paul Milgrom, 2009.
"Assignment Messages and Exchanges,"
American Economic Journal: Microeconomics,
American Economic Association, vol. 1(2), pages 95-113, August.
- Daniel Jaume & Jordi Masso & Alejandro Neme, 2009.
"The Multiple-partners Assignment Game with Heterogeneous Sells and Multi-unit Demands: Competitive Equilibria,"
389, Barcelona Graduate School of Economics.
- Daniel Jaume & Jordi Massó & Alejandro Neme, 2012. "The multiple-partners assignment game with heterogeneous sales and multi-unit demands: competitive equilibria," Mathematical Methods of Operations Research, Springer, vol. 76(2), pages 161-187, October.
- Daniel Jaume & Jordi Massó & Alejandro Neme, 2010. "The Multiple-partners Assignment Game with Heterogeneous Sales and Multi-unit Demands: Competitive Equilibria," UFAE and IAE Working Papers 808.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Daniel Jaume & Jordi Massó & Alejandro Neme, 2009. "The Multiple-partners Assignment Game with Heterogeneous Sells and Multi-unit Demands: Competitive Equilibria," UFAE and IAE Working Papers 802.09, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Edgeworth, Francis Ysidro, 1881. "Mathematical Psychics," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number edgeworth1881.
- Klaus Bettina & Walzl Markus, 2006.
"Stable Many-to-Many Matchings with Contracts,"
042, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Kaneko, Mamoru & Wooders, Myrna Holtz, 1982.
"Cores of partitioning games,"
Mathematical Social Sciences,
Elsevier, vol. 3(4), pages 313-327, December.
- Marilda Sotomayor, 1999. "The lattice structure of the set of stable outcomes of the multiple partners assignment game," International Journal of Game Theory, Springer, vol. 28(4), pages 567-583.
- Camina, Ester, 2006.
"A generalized assignment game,"
Mathematical Social Sciences,
Elsevier, vol. 52(2), pages 152-161, September.
- Sotomayor, Marilda, 2007. "Connecting the cooperative and competitive structures of the multiple-partners assignment game," Journal of Economic Theory, Elsevier, vol. 134(1), pages 155-174, May.
- Wooders, Myrna Holtz, 1983. "The epsilon core of a large replica game," Journal of Mathematical Economics, Elsevier, vol. 11(3), pages 277-300, July.
- Wooders, Myrna Holtz, 1994. "Equivalence of Games and Markets," Econometrica, Econometric Society, vol. 62(5), pages 1141-60, September.
- Sotomayor, Marilda, 1999. "Three remarks on the many-to-many stable matching problem," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 55-70, July.
- Myrna Wooders, 2009.
"Cores of Many-Player Games; Nonemptiness and Equal Treatment,"
Vanderbilt University Department of Economics Working Papers
0918, Vanderbilt University Department of Economics.
- Myrna Wooders, 2010. "Cores of many-player games; nonemptiness and equal treatment," Review of Economic Design, Springer, vol. 14(1), pages 131-162, March.
When requesting a correction, please mention this item's handle: RePEc:aub:autbar:810.10. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Xavier Vila)
If references are entirely missing, you can add them using this form.