id: 05973647
dt: j
an: 05973647
au: McGeachie, Michael; Doyle, Jon
ti: The local geometry of multiattribute tradeoff preferences.
so: Artif. Intell. 175, No. 7-8, 1122-1152 (2011).
py: 2011
pu: Elsevier Science Publishers, Amsterdam
la: EN
cc: 
ut: decision theory; preference representation; multiattribute tradeoffs;
    ceteris paribus reasoning; directional derivatives
ci: 
li: doi:10.1016/j.artint.2010.11.014
ab: Summary: Existing representations for multiattribute ceteris paribus
    preference statements have provided useful treatments and clear
    semantics for qualitative comparisons, but have not provided similarly
    clear representations or semantics for comparisons involving
    quantitative tradeoffs. We use directional derivatives and other
    concepts from elementary differential geometry to interpret conditional
    multiattribute ceteris paribus preference comparisons that state bounds
    on quantitative tradeoff ratios. This semantics extends the familiar
    economic notion of marginal rate of substitution to multiple continuous
    or discrete attributes. The same geometric concepts also provide means
    for interpreting statements about the relative importance of different
    attributes.
rv: