Social integration in two-sided matching markets

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9 Citations (Scopus)


When several two-sided matching markets merge into one, it is inevitable that some agents will become worse off if the matching mechanism used is stable. I formalize this observation by defining the property of integration monotonicity, which requires that every agent becomes better off after any number of matching markets merge. Integration monotonicity is also incompatible with the weaker efficiency property of Pareto optimality. Nevertheless, I obtain two possibility results. First, stable matching mechanisms never hurt more than one half of the society after the integration of several matching markets occurs. Second, in random matching markets there are positive expected gains from integration for both sides of the market, which I quantify.
Original languageEnglish
Pages (from-to)119-126
Number of pages8
JournalJournal of Mathematical Economics
Publication statusPublished - 01 Oct 2018


  • Integration monotonicity
  • Matching schemes
  • Social integration


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