|
|||||
|
|
An axiomatic characterization of the lexicographic maximin extension of an ordering over a set to the power set |
|
| Authors: | P K Pattanaik B Peleg |
| Institution: | (1) The Institute for Advanced Studies, The Hebrew University of Jerusalem, Givat Ram, Jerusalem, Israel;(2) Present address: Department of Economics, University of Birmingham, B15 2TT Birmingham, United Kingdom;(3) Present address: Department of Mathematics, The Hebrew University, 91904 Jerusalem, Israel |
| Abstract: | The lexicographic maximin extension of an ordering is an important and widely used tool in social choice theory. We provide an axiomatization of it by means of five axioms. When the basic ordering is linear the following four (independent) axioms are sufficient: (1) Gärdenfors principle; (2) Neutrality; (3) Strong Fishburn monotonicity; and (4) Extension. Our result may also have applications in the theory of individual choice under uncertainty. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |