Markovian assignment rules
AbstractWe 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.
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Bibliographic InfoPaper provided by El Colegio de México, Centro de Estudios Económicos in its series Serie documentos de trabajo del Centro de Estudios Económicos with number 2010-18.
Date of creation: Dec 2010
Date of revision:
dynamic assignment; finite Markov chains; seniority; promotion rules;
Other versions of this item:
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D73 - Microeconomics - - Analysis of Collective Decision-Making - - - Bureaucracy; Administrative Processes in Public Organizations; Corruption
- M51 - Business Administration and Business Economics; Marketing; Accounting - - Personnel Economics - - - Firm Employment Decisions; Promotions
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- Dirk Bergemann & Juuso Välimäki, 2006.
"Efficient Dynamic Auctions,"
321307000000000580, UCLA Department of Economics.
- Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October.
- Morimitsu Kurino, 2009. "House Allocation with Overlapping Agents: A Dynamic Mechanism Design Approach," Jena Economic Research Papers 2009-075, Friedrich-Schiller-University Jena, Max-Planck-Institute of Economics.
- 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.
- 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.
- 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.
- David Cantala & Francisco Sánchez, 2008. "Welfare and stability in senior matching markets," International Journal of Game Theory, Springer, vol. 36(3), pages 369-392, March.
- Roth, Alvin E. & Sotomayor, Marilda, 1992.
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
- 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.
- 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.
- William Thomson, 2007. "Fair Allocation Rules," RCER Working Papers 539, University of Rochester - Center for Economic Research (RCER).
- Moulin, Herve & Stong, Richard, 2001. "Fair Queuing and Other Probabilistic Allocation Methods," Working Papers 2000-09, Rice University, Department of Economics.
- Susan Athey & Ilya Segal, 2007. "An Efficient Dynamic Mechanism," Levine's Bibliography 122247000000001134, UCLA Department of Economics.
- Cantala, David, 2004. "Restabilizing matching markets at senior level," Games and Economic Behavior, Elsevier, vol. 48(1), pages 1-17, July.
- Monte, Daniel & Tumennasan, Norovsambuu, 2013.
"Centralized allocation in multiple markets,"
Textos para discussÃ£o
322, Escola de Economia de São Paulo, Getulio Vargas Foundation (Brazil).
- Pereyra, Juan Sebastián, 2013. "A dynamic school choice model," Games and Economic Behavior, Elsevier, vol. 80(C), pages 100-114.
- Francis Bloch & Nicolas Houy, 2009.
"Optimal Assignment of Durable Objects to Successive Agents,"
- Francis Bloch & Nicolas Houy, 2012. "Optimal assignment of durable objects to successive agents," Economic Theory, Springer, vol. 51(1), pages 13-33, September.
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