Archimedean Utility Copulas with Polynomial Generating Functions

References

• Abbas AE (2007) Invariant utility functions and certain equivalent transformations. Decision Anal. 4(1):17–31.Link, Google Scholar
• Abbas AE (2009) Multiattribute utility copulas. Oper. Res. 57(6):1367–1383.Link, Google Scholar
• Abbas AE (2013) Utility copula functions matching all boundary assessments. Oper. Res. 61(2):359–371.Link, Google Scholar
• Abbas AE (2018) Foundations of Multiattribute Utility (Cambridge University Press, New York).Crossref, Google Scholar
• Abbas AE, Bell DE (2011) One-switch independence for multiattribute utility functions. Oper. Res. 59(3):764–771.Link, Google Scholar
• Abbas AE, Bell DE (2012) One-switch conditions for multiattribute utility functions. Oper. Res. 60(5):1199–1212.Link, Google Scholar
• Abbas AE, Bell DE (2015) Ordinal one-switch utility functions. Oper. Res. 63(6):1411–1419.Link, Google Scholar
• Abbas AE, Howard RA (2005) Attribute dominance utility. Decision Anal. 2(4):185–206.Link, Google Scholar
• Abbas AE, Sun Z (2015) Multiattribute utility functions satisfying mutual preferential independence. Oper. Res. 63(2):378–393.Link, Google Scholar
• Barron H, Schmidt CP (1988) Sensitivity analysis of additive multiattribute value models. Oper. Res. 36(1):122–127.Link, Google Scholar
• Bell DE (1979a) Consistent assessment procedures using conditional utility functions. Oper. Res. 27(5):1054–1066.Link, Google Scholar
• Bell DE (1979b) Multiattribute utility functions: decompositions using interpolation. Management Sci. 25(2):208–224.Google Scholar
• Bell DE (1988) One switch utility functions and a measure of risk. Management Sci. 34(12):1416–1424.Link, Google Scholar
• Debreu G (1960) Topological methods in cardinal utility theory. Arrow K, Karlin S, Suppes P, eds. Mathematical Methods in the Social Sciences (Stanford University Press, Stanford, CA), 16–26.Google Scholar
• Dyer JS, Sarin RK (1979) Measurable multiattribute value functions. Oper. Res. 27(4):810–822.Link, Google Scholar
• Dyer JS, Sarin RK (1982) Relative risk aversion. Management Sci. 28(8):875–886.Link, Google Scholar
• Eisenführ F, Weber M, Langer T (2010) Rational Decision Making (Springer, Berlin).Crossref, Google Scholar
• Farquhar PH (1975) A fractional hypercube decomposition theorem for multiattribute utility functions. Oper. Res. 23(5):941–967.Link, Google Scholar
• Howard RA (1984) On fates comparable to death. Management Sci. 30(4):407–422.Link, Google Scholar
• Howard RA, Abbas AE (2015) Foundations of Decision Analysis (Pearson, New York).Google Scholar
• Keelin TW (1981) A parametric representation of additive value functions. Management Sci. 27(10):1200–1208.Link, Google Scholar
• Keeney R (1974) Multiplicative utility functions. Oper. Res. 22(1):22–34.Link, Google Scholar
• Keeney R (1992) Value-Focused Thinking (Harvard University Press, Cambridge, MA).Google Scholar
• Keeney R, Raiffa LH (1976) Decision with Multiple Objectives (John Wiley & Sons, New York).Google Scholar
• Lichtendahl KC, Bodily SE (2012) Multiplicative utilities for health and consumption. Decision Anal. 9(4):314–328.Link, Google Scholar
• Matheson JE, Abbas AE (2005) Utility transversality: A value-based approach. J. Multicriteria Decision Anal. 13(5–6):229–238.Crossref, Google Scholar
• Matheson JE, Howard RA (1968) An introduction to decision analysis. Howard RA, Matheson JE, eds. The Principles and Applications of Decision Analysis, vol. I (Strategic Decisions Group, Menlo Park, CA).Google Scholar
• Montiel LV, Bickel JE (2014) A generalized sampling approach for multilinear utility functions given partial preference information. Decision Anal. 11(3):147–170.Link, Google Scholar
• Nelsen RG (1999) An Introduction to Copulas (Springer, New York).Crossref, Google Scholar
• Pratt JW (1964) Risk aversion in the small and in the large. Econometrica 32(1/2):122–136.Crossref, Google Scholar
• von Neumann J, Morgenstern O (1947) Theory of Games and Economic Behavior (Princeton University Press, Princeton, NJ).Google Scholar