U-transfer schemes and dynamical systems in n-person TU-games

  • Juan Carlos Cesco Instituto de Matemática Aplicada San Luis, Universidad Nacional de San Luis - CONICET
  • Ana Lucía Calí Instituto de Matemática Aplicada San Luis, Universidad Nacional de San Luis - CONICET

Resumen

In this paper we define a non-continuous discrete dynamical system re-lated to a transfer scheme designed originally to approximate imputations in the core of balanced games. We show that the dynamical system may have either periodic point of period 1 (fixed points) or periodic points with period greater than one, but not both. Moreover, the fixed points of the
dynamical system characterize the core of a balanced game. On the other side, periodic points of period greater than one are associated with certain class of cycles of pre-imputations that can appear in non-balanced games (maximal U-cycles). For monotonic non-balanced 3-person games we de-scribe completely the set of periodic points and their associated (forward) stable sets.

Publicado
2004-08-03
Cómo citar
Cesco, J., & Calí, A. (2004). U-transfer schemes and dynamical systems in n-person TU-games. Electronic Journal of SADIO (EJS), 6(1), 1-11. Recuperado a partir de https://publicaciones.sadio.org.ar/index.php/EJS/article/view/101