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Compulsory Social Service Matching Market for Physicians in Colombia

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  • Sebastian Montano Correa

Abstract

In Colombia, physicians must work during a year to fulfill a compulsory social service known as ano rural. This service constitutes an entry-level labor market which can be modeled as a many-to-one matching market. To match physicians with hospitals, a centralized and equiprobable random drawing is employed in the market. This random mechanism is evaluated here by using axioms of ex-post stability, ex-post efficiency and strategy-proofness. It is underlined in this paper that agents in the market have identified these axioms as a matter of interest. A formal proof shows that the random mechanism violates these axioms. Three random mechanisms which produce desirable outcomes are presented: Employment by Lotto (Aldershof, Carducci, and Lorenc, 1999; Klaus and Klijn, 2006), Random Order Mechanism (Roth and Vande Vate, 1990; Ma, 1996; Klaus and Klijn, 2006) and Doctor Serial Dictator (Roth, 1982). The first two are both ex-post stable and ex-post efficient, and the latter is ex-post efficient and strategy-proof. It is shown that there is no ex-post stable and strategy-proof random mechanism, extending the result by Roth (1982, 1985) from deterministic to random mechanisms. Considering the concept of doctor-strategy-proofness, it is shown that the deterministic mechanism which leads to the doctor-optimal matching is the unique ex-post stable and doctor strategy- proof mechanism, strengthening the result by Roth (1985).

Suggested Citation

  • Sebastian Montano Correa, 2015. "Compulsory Social Service Matching Market for Physicians in Colombia," Documentos CEDE 12856, Universidad de los Andes, Facultad de Economía, CEDE.
    • Handle: RePEc:col:000089:012856
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    References listed on IDEAS

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    More about this item

    Keywords

    two-sided matching; random mechanisms; ex-post stability; ex-post efficiency; strategy-proofness;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • 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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