A Dynamic Recontracting Process for Multiple-Type Housing Markets
We consider multiple-type housing markets. To capture the dynamic aspect of trade in such markets, we study a dynamic recontracting process similar to the one introduced by Serrano and Volij (2008). First, we analyze the set of recurrent classes of this process as a (non-empty) solution concept. We show that each core allocation always constitutes a singleton recurrent class and provide examples of non-singleton recurrent classes consisting of blocking-cycles of individually rational allocations. For multiple-type housing markets stochastic stability never serves as a selection device among recurrent classes. Next, we propose a method to compute the limit invariant distribution of the dynamic recontracting process. Furthermore, we discuss how the limit invariant distribution is inuenced by the relative coalitional stability and accessibility of the different stochastically stable allocations. We illustrate our finndings with several examples. In particular, we demonstrate that some core allocations are less likely to be final allocations of the dynamic process than cycles composed of non-core allocations.
|Date of creation:||Feb 2010|
|Date of revision:|
|Publication status:||Published in Journal of Mathematical Economics, 47(1), January 2011, pp. 84-98|
|Contact details of provider:|| Postal: |
Phone: ++41 21 692.33.64
Web page: http://www.hec.unil.ch/deep/publications/cahiers/series
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.:
- Roth, Alvin E. & Postlewaite, Andrew, 1977. "Weak versus strong domination in a market with indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 131-137, August.
- Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
- Roberto Serrano & Oscar Volij, 2008.
"Mistakes in Cooperation: the Stochastic Stability of Edgeworth's Recontracting,"
Royal Economic Society, vol. 118(532), pages 1719-1741, October.
- Roberto Serrano & Oscar Volij, 2003. "Mistakes in Cooperation: the Stochastic Stability of Edgeworth's Recontracting," Economics Working Papers 0029, Institute for Advanced Study, School of Social Science.
- Roberto Serrano & Oscar Volij, 2005. "Mistakes In Cooperation: The Stochastic Stability Of Edgeworth'S Recontracting," Economics Working Papers we056332, Universidad Carlos III, Departamento de Economía.
- Roberto Serrano & Oscar Volij, 2003. "MISTAKE IN COOPERATION:the Stochastic Stability of Edgeworth's Recontracting," Working Papers 2003-23, Brown University, Department of Economics.
- Neuefeind, Wilhelm, 1974. "A stochastic bargaining process for n-person games," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 175-191, August.
- P. Young, 1999. "The Evolution of Conventions," Levine's Working Paper Archive 485, David K. Levine.
- Bettina Klaus & Olivier Bochet & Markus Walzl, 2010.
"A Dynamic Recontracting Process for Multiple-Type Housing Markets,"
Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP)
10.02, Université de Lausanne, Faculté des HEC, DEEP.
- Klaus, Bettina & Bochet, Olivier & Walzl, Markus, 2011. "A dynamic recontracting process for multiple-type housing markets," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 84-98, January.
- Feldman, Allan M, 1974. "Recontracting Stability," Econometrica, Econometric Society, vol. 42(1), pages 35-44, January.
- Agastya, Murali, 2004. "Stochastic stability in a double auction," Games and Economic Behavior, Elsevier, vol. 48(2), pages 203-222, August.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Jackson, Matthew O., 1998.
"The Evolution of Social and Economic Networks,"
1044, California Institute of Technology, Division of the Humanities and Social Sciences.
- Binmore, Ken & Samuelson, Larry & Young, Peyton, 2003. "Equilibrium selection in bargaining models," Games and Economic Behavior, Elsevier, vol. 45(2), pages 296-328, November.
- Klaus, Bettina, 2008.
"The coordinate-wise core for multiple-type housing markets is second-best incentive compatible,"
Journal of Mathematical Economics,
Elsevier, vol. 44(9-10), pages 919-924, September.
- Klaus,Bettina, 2005. "The Coordinate-Wise Core for Multiple-Type Housing Markets is Second-Best Incentive Compatible," Research Memorandum 018, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Kawasaki, Ryo, 2010. "Farsighted stability of the competitive allocations in an exchange economy with indivisible goods," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 46-52, January.
When requesting a correction, please mention this item's handle: RePEc:lau:crdeep:10.02. 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: (Claudine Delapierre Saudan)
If references are entirely missing, you can add them using this form.