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Matching with Slot-Specific Priorities: Theory

Author

Listed:
  • Scott Duke Kominers

    (Harvard University)

  • Tayfun Sönmez

    (Boston College)

Abstract

We introduce a two-sided, many-to-one matching with contracts model in which agents with unit demand match to branches that may have multiple slots available to accept contracts. Each slot has its own linear priority order over contracts; a branch chooses contracts by filling its slots sequentially, according to an order of precedence. We demonstrate that in these matching markets with slot-specific priorities, branches' choice functions may not satisfy the substitutability conditions typically crucial for matching with contracts. Despite this complication, we are able to show that stable outcomes exist in this framework and can be found by a cumulative offer mechanism that is strategy-proof and respects unambiguous improvements in priority.

Suggested Citation

  • Scott Duke Kominers & Tayfun Sönmez, 2014. "Matching with Slot-Specific Priorities: Theory," Boston College Working Papers in Economics 872, Boston College Department of Economics.
    • Handle: RePEc:boc:bocoec:872
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    References listed on IDEAS

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    More about this item

    Keywords

    Market Design; Matching with Contracts; Stability; Strategy-Proofness; School Choice; Affirmative Action; Airline Seat Upgrades.;
    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
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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