TY - JOUR
T1 - On non-atomic weighted majority games
AU - Einy, Ezra
AU - Neyman, Abraham
N1 - Funding Information:
*We would like to thank the referees for helpful suggestions. This work was supported by the U.S. National Science Foundation grant DMS 8705294, by Israel-U.S. BSF grant 8400201 and by CORE.
PY - 1990/1/1
Y1 - 1990/1/1
N2 - We present some characterizations for the class of non-atomic weighted majority games which are defined on a measurable space (I,C). The characterizations are done within the class of all monotonic simple games which are upper semicontinuous on C and continuous at I with respect to the N A-topology on C. We also use the results on simple games to obtain a characterization for the games of the form f{hook} {ring operator} μ where μ is a non-atomic probability measure and f{hook} is a nondecreasing upper semicontinuous function on [0,1].
AB - We present some characterizations for the class of non-atomic weighted majority games which are defined on a measurable space (I,C). The characterizations are done within the class of all monotonic simple games which are upper semicontinuous on C and continuous at I with respect to the N A-topology on C. We also use the results on simple games to obtain a characterization for the games of the form f{hook} {ring operator} μ where μ is a non-atomic probability measure and f{hook} is a nondecreasing upper semicontinuous function on [0,1].
UR - http://www.scopus.com/inward/record.url?scp=44949266300&partnerID=8YFLogxK
U2 - 10.1016/0304-4068(90)90029-9
DO - 10.1016/0304-4068(90)90029-9
M3 - Article
AN - SCOPUS:44949266300
VL - 19
SP - 391
EP - 403
JO - Journal of Mathematical Economics
JF - Journal of Mathematical Economics
SN - 0304-4068
IS - 4
ER -