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 influenced by the relative coalitional stability and accessibility of the different stochastically stable allocations. We illustrate our findings 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.
References listed on IDEAS
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.:
- Binmore, Ken & Samuelson, Larry & Young, Peyton, 2003. "Equilibrium selection in bargaining models," Games and Economic Behavior, Elsevier, vol. 45(2), pages 296-328, November.
- Feldman, Allan M, 1974. "Recontracting Stability," Econometrica, Econometric Society, vol. 42(1), pages 35-44, January.
- 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, 2008. "Mistakes in Cooperation: the Stochastic Stability of Edgeworth's Recontracting," Economic Journal, Royal Economic Society, vol. 118(532), pages 1719-1741, October.
- Roberto Serrano & Oscar Volij, 2003. "MISTAKE IN COOPERATION:the Stochastic Stability of Edgeworth's Recontracting," Working Papers 2003-23, Brown University, Department of Economics.
- Volij, Oscar & Serrano, Roberto, 2005. "Mistakes in cooperation: the stochastic stability of edgeworth's recontracting," UC3M Working papers. Economics we056332, Universidad Carlos III de Madrid. Departamento de Economía.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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).
- P. Young, 1999. "The Evolution of Conventions," Levine's Working Paper Archive 485, David K. Levine.
- Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:47:y:2011:i:1:p:84-98. See general information about how to correct material in RePEc.
If references are entirely missing, you can add them using this form.