Surplus procedure

The surplus procedure (SP) is a fair division protocol for dividing goods in a way that achieves proportional equitability. It can be generalized to more than 2=two people and is strategyproof. For three or more people it is not always possible to achieve a division that is both equitable and envy-free.

The surplus procedure was devised by Steven J. Brams, Michael A. Jones, and Christian Klamler in 2006.[1]

A generalization of the surplus procedure called the equitable procedure (EP) achieves a form of equitability. Equitability and envy-freeness can be incompatible for 3 or more players.[2]

Criticisms of the paper

There have been a few criticisms of aspects of the paper.[3] In effect the paper should cite a weaker form of Pareto optimality and suppose the measures are always strictly positive.

See also


  1. Better Ways to Cut a Cake by Steven J. Brams, Michael A. Jones, and Christian Klamler in the Notices of the American Mathematical Society December 2006.
  2. Brams, Steven J.; Michael A. Jones; Christian Klamler (December 2006). "Better Ways to Cut a Cake" (PDF). Notices of the American Mathematical Society. 53 (11): 1314–1321. Retrieved 2008-01-16.
  3. Cutting Cakes Correctly by Theodore P. Hill, School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 2008

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