Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
476843 | European Journal of Operational Research | 2012 | 7 Pages |
In this paper we consider choice problems under the assumption that the preferences of the decision maker are expressed in the form of a parametric partial weak order without assuming the existence of any value function. We investigate both the sensitivity (stability) of each non-dominated solution with respect to the changes of parameters of this order, and the sensitivity of the set of non-dominated solutions as a whole to similar changes. We show that this type of sensitivity analysis can be performed by employing techniques of linear programming.
► Preferences are expressed in the form of a parametric partial weak order. ► The value function is not assumed to exist. ► Sensitivity analysis concerns non-dominated solutions and the set of such solutions. ► Sensitivity analysis can be performed by employing techniques of linear programming.