Comments on: Remarkable polyhedra related to set functions, games and capacities 1

• Marina Núñez ^[1]
  1. [1] Universitat de Barcelona

     Universitat de Barcelona

     Barcelona, España

     
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 24, Nº. 2, 2016, págs. 327-329
• Idioma: inglés
• DOI: 10.1007/s11750-016-0418-z
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• Resumen

  • This paper highlights the connections between different theories that are built on the notion of set functions. For instance, the theory of cooperative games with transferable utility represents a game by means of a characteristic function (a set-function vanishing on the empty set), and decision theory under risk represents some generalizations of probability measures by means of capacities (set-functions vanishing on the empty set and monotone with respect to inclusion).