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      • Bilkent Theses
      • Theses - Department of Economics
      • Dept. of Economics - Master's degree
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      A study of extensions of the stable rule for roommate problems

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      Embargo Lift Date: 2021-09-03
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      Author(s)
      İşbilen, Asu
      Advisor
      Kara, Tarık
      Date
      2018-09
      Publisher
      Bilkent University
      Language
      English
      Type
      Thesis
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      Abstract
      Roommate problems might not have a stable solution. But for such problems we are still faced with the problem of matching the agents. One natural approach would be to match the agents in such a way that the resulting matching is “close” to being stable. Such solution concepts should select stable matchings when they exists and select matchings “close” to being stable when the problem does not have any stable matchings. We work with the following solution concepts, Almost Stability, Maximum Irreversibility, Maximum Internal Stability, P-stability and Q-stability, and define a new solution concept, called Iterated P-stability. We investigate consistency, population monotonicity, competition sensitivity and resource sensitivity of these solution concepts. We also explore Maskin monotonicity of these solution concepts.
      Keywords
      Competition Sensitivity
      Maskin Monotonicity
      Population Monotonicity
      Resource Sensitivity
      Roommate Problem
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      http://hdl.handle.net/11693/47875
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      • Dept. of Economics - Master's degree 292
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