| Article ID: | iaor200969024 |
| Country: | Japan |
| Volume: | 52 |
| Issue: | 2 |
| Start Page Number: | 112 |
| End Page Number: | 130 |
| Publication Date: | Jun 2009 |
| Journal: | Journal of the Operations Research Society of Japan |
| Authors: | Yamamoto Yoshitsugu, Sato Keisuke |
| Keywords: | economics, social, programming: linear |
This paper presents a study on the recently proposed linear inequality representation of Arrovian Social Welfare Functions~(ASWFs). We correct and show several sufficient conditions on preference domains for the linear inequalities of the representation to form integral polytopes. We also show that a given probabilistic ASWF induces a real vector satisfying the inequalities.