Journal Article Efficient Programmes for Polyhedral Technologies are Competitive Get access Ahmet U. Alkan Ahmet U. Alkan Middle East Technical University, Ankara, Turkey Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 47, Issue 2, January 1980, Pages 465–471, https://doi.org/10.2307/2297006 Published: 01 January 1980 Article history Received: 01 January 1977 Accepted: 01 February 1979 Published: 01 January 1980

A set of n objects and an amount M of money is to be distributed among m people. Example: the objects are tasks and the money is compensation from a fixed budget. An elementary argument via constrained optimization shows that for M sufficiently large the set of efficient, envy free allocations is nonempty and has a nice structure. In particular, various criteria of justice lead to unique best fair allocations that are well behaved with respect to changes of M. This is in sharp contrast to the usual fair division theory with divisible goods.