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Pareto Efficiency in Weighted School Choice Problems

Author

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  • Nadja Stroh-Maraun

    (Paderborn University)

Abstract

There are a number of school choice problems in which students are heterogeneous according to the number of seats they occupy at the school they are assigned to. We propose a weighted school choice problem by assigning each student a so-called weight and extend the top trading cycles algorithm to fit to this extension. We call the new mechanism the weighted TTC and show that it is strategy-proof and results in a Pareto efficient matching. Therefore, the TTC is robust towards the introduction of weights. Nevertheless, it is more complex to guarantee each student a seat at a school, as the extension introduces a trade-off between weights and priorities.

Suggested Citation

  • Nadja Stroh-Maraun, 2020. "Pareto Efficiency in Weighted School Choice Problems," Working Papers Dissertations 64, Paderborn University, Faculty of Business Administration and Economics.
    • Handle: RePEc:pdn:dispap:64
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    File URL: http://groups.uni-paderborn.de/wp-wiwi/RePEc/pdf/dispap/DP64.pdf
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Matching; School Choice; College Admission Problems; Top Trading Cycles; Pareto Efficiency; Strategy-Proofness;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design

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