IMASL 20939
INSTITUTO DE MATEMATICA APLICADA DE SAN LUIS "PROF. EZIO MARCHI"
Unidad Ejecutora - UE
artículos
Título:
A general characterization for non-balanced games in terms of U-cycles
Autor/es:
JUAN CARLOS CESCO
Revista:
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Editorial:
Elsevier
Referencias:
Año: 2008 p. 409 - 414
ISSN:
0377-2217
Resumen:
In a paper by Cesco [Cesco, J.C., 2003. Fundamental cycles of pre-imputations in non-balanced TU-games. International Journal of Game Theory 32, 211222], it was proven that the existence of a certain type of cycles of pre-imputations, fundamental cycles, is equivalent to the non-balancedness of a TU-game, i.e., the emptiness of the core of the game. There are two characteristic sub-classes related to fundamental cycles: U-cycles and maximal U-cycles. In this note we show that it is enough to consider U-cycles in obtaining a similar characterization for non-balanced TU-games.
