TY - JOUR
T1 - Reconfirming the prenucleolus
AU - Orshan, Guni
AU - Sudhölter, Peter
PY - 2003/5
Y1 - 2003/5
N2 - By means of an example, it is shown that the prenucleolus is not the only minimal solution that satisfies nonemptiness, Pareto optimally, covariance, the equal treatment property, and the reduced game property, even if the universe of players is infinite. This example also disproves a conjecture of Gurvich et al. (1994). As a second result, we prove that the prenucleolus is axiomatized by nonemptiness, covariance, the equal treatment property, and the reconfirmation property, provided the universe of players is infinite.
AB - By means of an example, it is shown that the prenucleolus is not the only minimal solution that satisfies nonemptiness, Pareto optimally, covariance, the equal treatment property, and the reduced game property, even if the universe of players is infinite. This example also disproves a conjecture of Gurvich et al. (1994). As a second result, we prove that the prenucleolus is axiomatized by nonemptiness, covariance, the equal treatment property, and the reconfirmation property, provided the universe of players is infinite.
KW - Game theory
KW - Prenucleolus
UR - http://www.scopus.com/inward/record.url?scp=0038386379&partnerID=8YFLogxK
U2 - 10.1287/moor.28.2.283.14482
DO - 10.1287/moor.28.2.283.14482
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0038386379
SN - 0364-765X
VL - 28
SP - 283
EP - 293
JO - Mathematics of Operations Research
JF - Mathematics of Operations Research
IS - 2
ER -