Stochastic Stability in Assignment Problems
AbstractIn a dynamic model of assignment problems, small deviations suffice to move between stable outcomes. This result is used to obtain no-selection and almost-no-selection results under the stochastic stability concept for uniform and payoff-dependent errors. There is no-selection of partner or payoff under uniform errors, nor for agents with multiple optimal partners under payoff-dependent errors. There can be selection of payoff for agents with a unique optimal partner under payoff-dependent errors. However, when every agent has a unique optimal partner, almost-no-selection is obtained.
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Bibliographic InfoPaper 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 14.02.
Length: 27 pp.
Date of creation: Apr 2014
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Assignment problem; (core) stability; decentralization; stochastic stability;
Other versions of this item:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
This paper has been announced in the following NEP Reports:
- NEP-ALL-2014-04-11 (All new papers)
- NEP-GER-2014-04-11 (German Papers)
- NEP-GTH-2014-04-11 (Game Theory)
- NEP-MIC-2014-04-11 (Microeconomics)
- NEP-ORE-2014-04-11 (Operations Research)
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