Leximin order

Not to be confused with Lexis minima.

In mathematics, leximin order is a total preorder on finite-dimensional vectors. A more accurate, but less common term is leximin preorder. The leximin order is particularly important in social choice theory and fair division.[1][2][3]

  1. ^ Herve Moulin (2004). Fair Division and Collective Welfare. Cambridge, Massachusetts: MIT Press. ISBN 9780262134231.
  2. ^ Barbarà, Salvador; Jackson, Matthew (1988-10-01). "Maximin, leximin, and the protective criterion: Characterizations and comparisons". Journal of Economic Theory. 46 (1): 34–44. doi:10.1016/0022-0531(88)90148-2. ISSN 0022-0531.
  3. ^ Yager, Ronald R. (1997-10-01). "On the analytic representation of the Leximin ordering and its application to flexible constraint propagation". European Journal of Operational Research. 102 (1): 176–192. doi:10.1016/S0377-2217(96)00217-2. ISSN 0377-2217.