Markovian assignment rules
We analyze dynamic assignment problems where agents successively receive different objects (positions, offices, etc.). A finite set of n vertically differentiated indivisible objects are assigned to n agents who live n periods. At each period, a new agent enters society, and the oldest agent retires, leaving his object to be reassigned. We define independent assignment rules (where the assignment of an object to an agent is independent of the way other objects are allocated to other agents), efficient assignment rules (where there does not exist another assignment rule with larger expected surplus), and fair assignment rules (where agents experiencing the same circumstances have identical histories in the long run). When agents are homogenous, we characterize efficient, independent and fair rules as generalizations of the seniority rule. When agents draw their types at random, we prove that independence and efficiency are incompatible, and that efficient and fair rules only exist when there are two types of agents. We characterize two simple rules (type-rank and type-seniority) which satisfy both efficiency and fairness criteria in dichotomous settings.
|Date of creation:||Nov 2008|
|Date of revision:|
|Note:||View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00356304|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
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.:
- M. Utku Ünver, 2010. "Dynamic Kidney Exchange," Review of Economic Studies, Oxford University Press, vol. 77(1), pages 372-414.
- Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992.
Cambridge University Press, number 9780521437882, Junio.
- Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
- Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October.
- Sonmez, Tayfun & Utku Unver, M., 2005.
"House allocation with existing tenants: an equivalence,"
Games and Economic Behavior,
Elsevier, vol. 52(1), pages 153-185, July.
- Tayfun Sönmez & M. Utku Ünver, 2001. "House Allocation with Existing Tenants: An Equivalence," Game Theory and Information 0112002, EconWPA, revised 26 Sep 2002.
- Susan Athey & Ilya Segal, 2007.
"An Efficient Dynamic Mechanism,"
122247000000001134, UCLA Department of Economics.
- Alex Gershkov & Benny Moldovanu, 2009. "Dynamic Revenue Maximization with Heterogeneous Objects: A Mechanism Design Approach," American Economic Journal: Microeconomics, American Economic Association, vol. 1(2), pages 168-98, August.
- Morimitsu Kurino, 2009. "House Allocation with Overlapping Agents: A Dynamic Mechanism Design Approach," Jena Economic Research Papers 2009-075, Friedrich-Schiller-University Jena.
- Dirk Bergemann & Juuso Välimäki, 2008.
"The Dynamic Pivot Mechanism,"
Levine's Working Paper Archive
122247000000002340, David K. Levine.
- Dirk Bergemann & Juuso Valimaki, 2008. "The Dynamic Pivot Mechanism," Cowles Foundation Discussion Papers 1672, Cowles Foundation for Research in Economics, Yale University.
- Dirk Bergemann & Juuso Valimaki, 2008. "The Dynamic Pivot Mechanism," Cowles Foundation Discussion Papers 1672R, Cowles Foundation for Research in Economics, Yale University, revised Dec 2009.
- Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004.
The Quarterly Journal of Economics,
Oxford University Press, vol. 119(2), pages 457-488.
- Alvin E. Roth & Tayfun Sonmez & M. Utku Unver, 2003. "Kidney Exchange," Game Theory and Information 0308002, EconWPA.
- Alvin E. Roth & Tayfun Sonmez & M. Utku Unver, 2003. "Kidney Exchange," NBER Working Papers 10002, National Bureau of Economic Research, Inc.
- Roth, Alvin & Ãœnver, M. Utku & SÃ¶nmez, Tayfun, 2004. "Kidney Exchange," Scholarly Articles 2580565, Harvard University Department of Economics.
- Cantala, David, 2004. "Restabilizing matching markets at senior level," Games and Economic Behavior, Elsevier, vol. 48(1), pages 1-17, July.
- Alex Gershkov & Benny Moldovanu, 2009. "Learning about the Future and Dynamic Efficiency," American Economic Review, American Economic Association, vol. 99(4), pages 1576-87, September.
- Dirk Bergemann & Juuso Välimäki, 2006.
"Efficient Dynamic Auctions,"
321307000000000580, UCLA Department of Economics.
- Sönmez, Tayfun & Ünver, M. Utku, 2010. "House allocation with existing tenants: A characterization," Games and Economic Behavior, Elsevier, vol. 69(2), pages 425-445, July.
- Blum, Yosef & Roth, Alvin E. & Rothblum, Uriel G., 1997. "Vacancy Chains and Equilibration in Senior-Level Labor Markets," Journal of Economic Theory, Elsevier, vol. 76(2), pages 362-411, October.
- Moulin, Herve & Stong, Richard, 2001. "Fair Queuing and Other Probabilistic Allocation Methods," Working Papers 2000-09, Rice University, Department of Economics.
- William Thomson, 2007. "Fair Allocation Rules," RCER Working Papers 539, University of Rochester - Center for Economic Research (RCER).
- David Cantala & Francisco Sánchez, 2008. "Welfare and stability in senior matching markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 369-392, March.
When requesting a correction, please mention this item's handle: RePEc:hal:wpaper:hal-00356304. 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: (CCSD)
If references are entirely missing, you can add them using this form.