On cooperative games with large monotonic core

Jesús Getán ^[1] ; Jesús Montes ^[2]
1. [1] Universitat de Barcelona
  
  Universitat de Barcelona
  
  Barcelona, España
2. [2] Universitat Abat Oliba CEU
  
  Universitat Abat Oliba CEU
  
  Barcelona, España
Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 18, Nº. 2, 2010, págs. 493-508
Idioma: inglés
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Resumen
- Cooperative games with large core were introduced by Sharkey (Int. J. Game Theory 11:175–182, 1982), and the concept of Population Monotonic Allocation Scheme was defined by Sprumont (Games Econ. Behav. 2:378–394, 1990). Inspired by these two concepts, Moulin (Int. J. Game Theory 19:219–232, 1990) introduced the notion of large monotonic core giving a characterization for three-player games. In this paper we prove that all games with large monotonic core are convex. We give an effective criterion to determine whether a game has a large monotonic core and, as a consequence, we obtain a characterization for the four-player case.