Zobrazeno 1 - 10
of 85
pro vyhledávání: '"János Aczél"'
Autor:
János Aczél
Publikováno v:
Choice, Decision, and Measurement: Essays in Honor of R. Duncan Luce ISBN: 9781315789408
Choice, Decision, and Measurement: Essays in Honor of R. Duncan Luce
Choice, Decision, and Measurement: Essays in Honor of R. Duncan Luce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f97ffad2161ab2ea96e2e8a922f53c4
https://doi.org/10.4324/9781315789408-13
https://doi.org/10.4324/9781315789408-13
Autor:
János Aczél, Ali E. Abbas
Publikováno v:
Decision Analysis. 7:215-228
This paper presents some functional equations that have played an essential role in the characterization of utility and probability functions in decision analysis. We survey some previous results with improvements and derive several new results. We a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e82bfef9430472b7326a40c88775d63
https://doi.org/10.1287/deca.1100.0177
https://doi.org/10.1287/deca.1100.0177
Publikováno v:
Results in Mathematics. 54:1-13
We present the general solutions, continuous at a point, of some functional equations on open subsets of the n-dimensional real space, originating from invariance of n-attribute utility functions under shift transformations. The utility functions are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::034d000c592937117e7bd305eadf1d2c
https://doi.org/10.1007/s00025-007-0266-0
https://doi.org/10.1007/s00025-007-0266-0
Publikováno v:
Economic Theory. 36:165-187
We specialize our results on entropy-modified representations of event-based gambles to representations of probability-based gambles by assuming an implicit event structure underlying the probabilities, and adding assumptions linking the qualitative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c685aa7db55f4b3d271edf6f089fccf
https://doi.org/10.1007/s00199-007-0259-y
https://doi.org/10.1007/s00199-007-0259-y
Autor:
R. Duncan Luce, János Aczél
Publikováno v:
Journal of Mathematical Psychology. 51:126-129
Prelec axiomatized a flexible 2-parameter weighting function W over probabilities in a utility context, and Luce reported a simpler axiomatic condition for the case W ( 1 ) = 1 . This article modifies the latter to yield also the generalized Prelec f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e82eec7023430fb085b832880a1a30f0
https://doi.org/10.1016/j.jmp.2006.10.004
https://doi.org/10.1016/j.jmp.2006.10.004
Autor:
János Aczél
Publikováno v:
Journal of Mathematical Psychology. 49:445-449
Jean-Claude Falmagne observed in 1981 [On a recurrent misuse of classical functional equation result. Journal of Mathematical Psychology, 23, 190–193] that, even under regularity assumptions, not all solutions of the functional equation k ( s + t )
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3738ee2f69766c22706917d8ad432968
https://doi.org/10.1016/j.jmp.2005.05.002
https://doi.org/10.1016/j.jmp.2005.05.002
Autor:
János Aczél
Publikováno v:
Proceedings of the American Mathematical Society. 133:3227-3233
The equations k ( s + t ) = ℓ ( s ) + n ( t ) k(s+t)=\ell (s)+n(t) and k ( s + t ) = m ( s ) n ( t ) k(s+t)=m(s)n(t) , called Pexider equations, have been completely solved on R 2 . \mathbb {R}^2. If they are assumed to hold only on an open region,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff05c982152052f7b17ac332a7e9b941
https://doi.org/10.1090/s0002-9939-05-08039-1
https://doi.org/10.1090/s0002-9939-05-08039-1
Publikováno v:
Journal of Mathematical Analysis and Applications. 304:572-583
We solve the functional equation F 1 ( t ) − F 1 ( t + s ) = F 2 [ F 3 ( t ) + F 4 ( s ) ] for real functions defined on intervals, assuming that F 2 is positive valued and strictly monotonic and that F 3 is continuous. The equation arose from the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca6af7a7a0e1b86dfd73da3f9a087e3c
https://doi.org/10.1016/j.jmaa.2004.09.040
https://doi.org/10.1016/j.jmaa.2004.09.040
Publikováno v:
Results in Mathematics. 43:193-197
Suppose that two classes of utility representations of preferences, one additive and one increasing increments, hold simultaneously over uncertain binary alternatives (gambles). This assumption leads to the functional equation $$ f[h(x-y)+y]=f[h(x)]-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::990fa6ef9fa7488767d21f4667f60e93
https://doi.org/10.1007/bf03322735
https://doi.org/10.1007/bf03322735
Autor:
Zsolt Páles, Kazimierz Nikodem, Walter Benz, Zenon Moszner, Roman Ger, Jacek Tabor, János Aczél, Bogdan Choczewski, Bruce Ebanks, Attila Gilányi
Publikováno v:
aequationes mathematicae. 64:170-200
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eaa2ed7b7b527c794228adbfdf1eabca
https://doi.org/10.1007/s00010-002-8040-6
https://doi.org/10.1007/s00010-002-8040-6