Abstract
Normative theories suggest that inconsistencies be pointed out to the Decision Maker who is thus given the chance to modify his/her judgments. In this paper, we suggest that the inconsistencies problem be transferred from the Decision Maker to the Analyst. With the Mixture of Maximal Quasi Orders, rather than pointing out incoherences for the Decision Maker to change, these inconsistencies may be used as new source of information to model his/her preferences.
Similar content being viewed by others
REFERENCES
Aumann, R. (1962) Utility theory without the completeness axiom, Economet-rica 30(2): 445-462.
Cook, W. and Kress, M. (1991) A multiple criteria decision model with ordinal preference data, European Journal of Operational Research 54: 191-198.
Fishburn, P.C. (1970) Utility Theory for Decision Making, New York: Wiley.
Fishburn, P.C. (1976) Representable choice functions, Econometrica 44(5): 1033-1044.
Fishburn, P.C. (1982) Nontransitive measurable utility, J.Math.Psychol. 26: 31-67.
Fishburn, P.C. (1991) Nontransitive preferences in decision theory, Journal of Risk and Uncertainty 4: 113-134.
French, S. (1986) Decision Theory, Ellis Horwood.
Girón, F.J. and Ríos, S. (1980) Quasi-Bayesian behaviour: a more realistic ap-proach to decision making?, in J.M. Bernardo, M.H. DeGroot, D.V. Lindley, and A.F.M. Smith (eds) Bayesian Statistics, University of Valencia Press, pp. 17-38.
González-Pachón, J. and Ríos-Insua, S. (1995) A method for searching ratio-nality in a pairwise choice, in G. Fandel and T. Gal (eds) Multiple Criteria Decision Making (LNEMS 448) New York: Springer, pp. 374-382.
González-Pachón, J. and Rodríguez Galiano, I. (1996) A multi-criteria deci-sion making problem associated to preference modelling, Proceedings of the MOPGP 96, Springer (to appear).
González-Pachón, J. and Rodríguez Galiano, I. (1997) An algorithm for solv-ing intransitivities without repeating trials. Presented at the XIIIth International Conference on MCDM, Cape Town.
Kreps, D. (1988) Theory of Choice, Westview Press.
MacCrimmon, K.R. and Larsson, S. (1979) Utility theory: axioms versus para-doxes, in M. Allais and O. Hagen (eds) Reidel, pp. 333-409.
Ponsard, C. (1990) Some dissenting views on the transitivity of individual preference, Annals of Operations Research 23: 279-278.
Ríos, S., Ríos-Insua, S., Ríos Insua, D. and González-Pachón, J. (1994) Experi-ments in robust decision making, in S. Ríos (ed.) Decision Theory and Decision Analysis: Trends and Challenges, Dordrecht: Kluwer, pp. 233-242.
Ríos Insua, D. (1990) Sensitivity Analysis in Multiobjective Decision Making (LNEMS 347) New York: Springer.
Roberts, F. (1979) Measurement Theory, Addison Wesley.
Roubens, M. and Vincke, Ph. (1985) Preference Modelling (LNEMS 250) New York: Springer.
Roy, B. (1990) Decision aid and decision making, European Journal of Opera-tional Research 45: 324-331.
Samuelson, P.A. (1948) Consumption theory in terms of revealed preference, Economica, N.S, 15.
Sen, A.K. (1970) Collective Choice and Social Welfare, Holden-Day.
Van Acker, P. (1990) Transitivity revisited, Annals of Operations Research 23: 1-35.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
González-pachón, J., Ríos-insua, S. Mixture of Maximal Quasi Orders: a new Approach to Preference Modelling. Theory and Decision 47, 73–88 (1999). https://doi.org/10.1023/A:1005003012375
Issue Date:
DOI: https://doi.org/10.1023/A:1005003012375