Stable sets and max-convex decompositions of TU games

• Francesc Llerena ^[1] ; Carles Rafels ^[2]
  1. [1] Universitat Rovira i Virgili

     Universitat Rovira i Virgili

     Tarragona, España

     
  2. [2] Universitat de Barcelona

     Universitat de Barcelona

     Barcelona, España

     
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 21, Nº. 2, 2013, págs. 313-322
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • We study under which conditions the core of a game involved in a max-convex decomposition of another game turns out to be a stable set of the decomposed game. Some applications and numerical examples, including the remarkable Lucas’ five player game with a unique stable set different from the core, are reckoning and analyzed.