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Cost of transformation: a measure on matchings

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  • Can, Burak

    (Microeconomics & Public Economics, RS: GSBE ETBC)

  • Pourpouneh, Mohsen

    (Quantitative Economics)

  • Storcken, Ton

    (QE Math. Economics & Game Theory, RS: GSBE ETBC)

Abstract

This paper constructs a normative framework to quantify the difference between two matchings in roommate markets. We investigate the “cost of transformation” from one mechanism to another, based on the differences in the outputs of these mechanisms. Several conditions are introduced to ensure this cost reflects the welfare effect of the transformation on individuals. We introduce a measure called the Borda measure, which is fully characterized by these conditions. Several possible applications of this measure under different contexts interpretations are also discussed, such as measuring how unstable, how unfair, or how inefficient a matching is.

Suggested Citation

  • Can, Burak & Pourpouneh, Mohsen & Storcken, Ton, 2017. "Cost of transformation: a measure on matchings," Research Memorandum 015, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2017015
    DOI: 10.26481/umagsb.2017015
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    References listed on IDEAS

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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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