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Notes on Computational Complexity of GE Inequalities

Recently, Cheryche et al. (2011) proved the important negative result that deciding the strong feasibility of the Marshallian equilibrium inequalities, introduced by Brown and Matzkin (1996), is NP-complete. Here, I show that the weak feasibility of the equivalent Hicksian equilibrium inequalities, introduced by Brown and Shannon (2000), can be decided in oracle-polynomial time.

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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1865.

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Length: 13 pages
Date of creation: Jul 2012
Date of revision:
Handle: RePEc:cwl:cwldpp:1865
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Order Information: Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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  1. Donald J. Brown & Chris Shannon, 1998. "Uniqueness, Stability, and Comparative Statics in Rationalizable Walrasian Markets," GE, Growth, Math methods 9802003, EconWPA, revised 02 Mar 1998.
  2. Brown, Donald J & Matzkin, Rosa L, 1996. "Testable Restrictions on the Equilibrium Manifold," Econometrica, Econometric Society, vol. 64(6), pages 1249-62, November.
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