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001-es BibID:	BIBFORM003991
035-os BibID:	(WoS)000255109800007 (Scopus)40849084084
Első szerző:	Marley, A. A. J.
Cím:	A solution to a problem raised in Luce and Marley (2005) / A. A. J. Marley, R. Duncan Luce, I. Kocsis
Dátum:	2008
ISSN:	0022-2496
Megjegyzések:	Luce and Marley [2005. Ranked additive utility representations of gambles: Old and new axiomatizations. Journal of Risk and Uncertainty, 30, 21-62] examined various relations between mathematical forms for the utility of joint receipt of gambles and for the utility of uncertain gambles. Their assumptions lead to a bisymmetry functional equation which, when the gambles are ranked, is defined on a restricted domain. Maksa [1999. Solution of generalized bisymmetry type equations without surjectivity. Aequationes Mathematicae, 57, 50-74] solved the general case and Kocsis [2007. A bisymmetry equation on restricted domain. Aequationes Mathematicae, 73, 280-284] presents the solution for the ranked case. The latter solution allows us to solve open problem 5 in Luce and Marley (2005) by showing that the assumptions of their Theorem 19 for an order-preserving ranked additive utility (RAU) representation U imply that U is a ranked weighted utility (RWU) representation that is additive over.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk Ranked additive utility Ranked bisymmetry functional equation Joint receipt
Megjelenés:	Journal of Mathematical Psychology. - 52 (2008), p. 64-68. -
További szerzők:	Kocsis Imre (1969-) (matematikus, gépészmérnök) Luce, R. Duncan
Internet cím:	elektronikus változat DOI
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