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Preferences Which Have Open Graphs

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Author Info
Ted Bergstrom (University of California, Santa Barbara)
Robert Parks (Washington University, St. Louis)
Trout Rader (Washington University, St. Louis)

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Abstract

Gale and Mas-Collel and Shafer and Sonnenschein introduced powerful new theorems on the existence of competitive equilibrium which used the assumption that the graph of the strict preference relation P is an open set. We show when this condition is satisfied and when it is not.

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File URL: http://repositories.cdlib.org/cgi/viewcontent.cgi?article=1150&context=ucsbecon
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Publisher Info
Paper provided by Department of Economics, UC Santa Barbara in its series University of California at Santa Barbara, Economics Working Paper Series with number 1976B.

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Date of creation: 21 Jan 1976
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Handle: RePEc:cdl:ucsbec:1976b

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Related research
Keywords: open graph preferences; continuity; existence of equilibrium; ;

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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)
  1. Ted Bergstrom, 2003. "When Non-transitive Relations Take Maxima and Competitive Equilibria Can't Be Beat," University of California at Santa Barbara, Economics Working Paper Series 1992A, Department of Economics, UC Santa Barbara. [Downloadable!]
    Other versions:
  2. Carmen Herrero Blanco & José Manuel Gutiérrez Díez, 1990. "Lagrangean Conditions For General Optimization Problems With Applications To Consumer Theory," Working Papers. Serie AD 1990-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  3. David Kelsey & Erkan Yalcin, 2004. "The Arbitrage Pricing Theorem with Incomplete Preferences," GE, Growth, Math methods 0401002, EconWPA. [Downloadable!]
    Other versions:
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This page was last updated on 2009-11-16.

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