A Dynamic Recontracting Process for Multiple-Type Housing Markets
Abstract
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.Download Info
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Paper provided by Université de Lausanne, Faculté des HEC, DEEP in its series Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) with number 10.02.Length: 34 pages
Date of creation: Feb 2010
Date of revision:
Publication status: Published in Journal of Mathematical Economics, 47(1), January 2011, pp. 84-98
Handle: RePEc:lau:crdeep:10.02
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Postal: Université de Lausanne, Faculté des HEC, DEEP, Internef, CH-1015 Lausanne
Phone: ++41 21 692.33.64
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Web page: http://www.hec.unil.ch/deep/publications/cahiers/series
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Related research
Keywords: core; indivisible goods; limit invariant distribution; stochastic stability;Other versions of this item:
- 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.
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-04-17 (All new papers)
- NEP-URE-2010-04-17 (Urban & Real Estate Economics)
References
References listed on IDEASPlease 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.:
- Klaus,Bettina, 2005.
"The Coordinate-Wise Core for Multiple-Type Housing Markets is Second-Best Incentive Compatible,"
Research Memoranda
018, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
- 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, 2008. "The coordinate-wise core for multiple-type housing markets is second-best incentive compatible," Open Access publications from Maastricht University urn:nbn:nl:ui:27-20023, Maastricht University.
- Feldman, Allan M, 1974. "Recontracting Stability," Econometrica, Econometric Society, vol. 42(1), pages 35-44, January.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
- Jackson, Matthew O. & Watts, Alison, 2002.
"The Evolution of Social and Economic Networks,"
Journal of Economic Theory,
Elsevier, vol. 106(2), pages 265-295, October.
- Jackson, Matthew O., 1998. "The Evolution of Social and Economic Networks," Working Papers 1044, California Institute of Technology, Division of the Humanities and Social Sciences.
- 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.
- 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 & 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.
- 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.
- Agastya, Murali, 2004. "Stochastic stability in a double auction," Games and Economic Behavior, Elsevier, vol. 48(2), pages 203-222, August.
- 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.
- 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.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- 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.
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