On the intersection between the imputation set and the Weber set

Authors
Martinez-de-Albeniz, FJ Rafels, C
Citation
Fj. Martinez-de-albeniz et C. Rafels, On the intersection between the imputation set and the Weber set, ANN OPER R, 84, 1998, pp. 111-120
Citations number
9
Categorie Soggetti
Engineering Mathematics
Journal title
ANNALS OF OPERATIONS RESEARCH
ISSN journal
02545330 → ACNP
Volume
84
Year of publication
1998
Pages
111 - 120
Database
ISI
SICI code
0254-5330(1998)84:<111:OTIBTI>2.0.ZU;2-6
Abstract
This paper presents a characterization of the non-emptiness of the intersec tion between the imputation set and the Weber set. Tools from non-cooperati ve zero-sum finite games are used. We assign a matrix game to any cooperati ve game and the sign of the value of this matrix game is used for the chara cterization mentioned above. The cases of two or three players are discusse d. Moreover, bounds and some particular cases for this value are studied.