| Article ID: | iaor2000698 |
| Country: | Germany |
| Volume: | 84 |
| Issue: | 2 |
| Start Page Number: | 435 |
| End Page Number: | 438 |
| Publication Date: | Jan 1999 |
| Journal: | Mathematical Programming |
| Authors: | Fliege Jrg |
| Keywords: | programming: multiple criteria |
We show by counterexample that one of the results in the paper ‘On Pareto optima, the Fermat–Weber problem, and polyhedral gauges’, by R. Durier, does not hold. The stated characterization of properly efficient points for a scalar location problem is only true in dimension 1 and 2. For higher dimensions, the property stated is necessary, but not sufficient.