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Marriage market with indifferences: A linear programming approach

Author

Listed:
  • Noelia Juárez

    (Universidad Nacional de San Luis/CONICET)

  • Pablo Neme

    (Universidad Nacional de San Luis/CONICET)

  • Jorge Oviedo

    (Universidad Nacional de San Luis/CONICET)

Abstract

We study stable ans strongly stable matchings in the marriage market with indifference in their preferences. We characterize the stable matchings as integer extreme points of a convex polytope. We give an alternative proof for the integrity of the strongly stable matching polytope. Also, we compute men-optimal (women-optimal)stable and strongly stable matchings using linear programming. When preferences are strict we find the men- optimal (women-optimal) stable matching.

Suggested Citation

  • Noelia Juárez & Pablo Neme & Jorge Oviedo, 2020. "Marriage market with indifferences: A linear programming approach," Working Papers 17, Red Nacional de Investigadores en Economía (RedNIE).
  • Handle: RePEc:aoz:wpaper:17
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    Keywords

    Matching markets The marriage market with indifferences Optimal Stable matchings Linear programming;

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