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Subsolutions and the Supercore of Cooperative Games


  • Alvin E. Roth

    (University of Illinois, Urbana-Champaign)


A generalization of the von Neumann-Morgenstern solution, called a subsolution, is introduced. Subsolulions exist for all games (in a nontrival way for games with a nonempty core), and can be interpreted as “standards of behavior.” A unique, distinguished subsolution called the supercore is also identified; it is the intersection of all subsolutions.

Suggested Citation

  • Alvin E. Roth, 1976. "Subsolutions and the Supercore of Cooperative Games," Mathematics of Operations Research, INFORMS, vol. 1(1), pages 43-49, February.
  • Handle: RePEc:inm:ormoor:v:1:y:1976:i:1:p:43-49

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    Cited by:

    1. Iñarra García, María Elena & Larrea Jaurrieta, María Concepción & Saracho de la Torre, Ana Isabel, 2003. "The Supercore for Normal Form Games," IKERLANAK 2003-04, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    2. repec:eee:gamebe:v:108:y:2018:i:c:p:574-584 is not listed on IDEAS
    3. Iñarra García, María Elena & Larrea Jaurrieta, María Concepción, 2005. "Admissible Hierachic Sets," IKERLANAK 2005-18, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.


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