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<title xml:lang="en">VALUATION EQUILIBRIUM AND PARETO OPTIMUM
<xref ref-type="fn" rid="fn1">
<sup>*</sup>
</xref>
</title>
<author>
<name sortKey="Debreu, Gerard" sort="Debreu, Gerard" uniqKey="Debreu G" first="Gerard" last="Debreu">Gerard Debreu</name>
</author>
</titleStmt>
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<idno type="wicri:source">PMC</idno>
<idno type="pmid">16589528</idno>
<idno type="pmc">528000</idno>
<idno type="url">http://www.ncbi.nlm.nih.gov/pmc/articles/PMC528000</idno>
<idno type="RBID">PMC:528000</idno>
<date when="1954">1954</date>
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<title xml:lang="en" level="a" type="main">VALUATION EQUILIBRIUM AND PARETO OPTIMUM
<xref ref-type="fn" rid="fn1">
<sup>*</sup>
</xref>
</title>
<author>
<name sortKey="Debreu, Gerard" sort="Debreu, Gerard" uniqKey="Debreu G" first="Gerard" last="Debreu">Gerard Debreu</name>
</author>
</analytic>
<series>
<title level="j">Proceedings of the National Academy of Sciences of the United States of America</title>
<idno type="ISSN">0027-8424</idno>
<idno type="eISSN">1091-6490</idno>
<imprint>
<date when="1954">1954</date>
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<pmc-comment>The publisher of this article does not allow downloading of the full text in XML form.</pmc-comment>
<front>
<journal-meta>
<journal-id journal-id-type="nlm-ta">Proc Natl Acad Sci U S A</journal-id>
<journal-title>Proceedings of the National Academy of Sciences of the United States of America</journal-title>
<issn pub-type="ppub">0027-8424</issn>
<issn pub-type="epub">1091-6490</issn>
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<article-meta>
<article-id pub-id-type="pmid">16589528</article-id>
<article-id pub-id-type="pmc">528000</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Mathematics</subject>
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<title-group>
<article-title>VALUATION EQUILIBRIUM AND PARETO OPTIMUM
<xref ref-type="fn" rid="fn1">
<sup>*</sup>
</xref>
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<name>
<surname>Debreu</surname>
<given-names>Gerard</given-names>
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<aff id="af1">
<label></label>
COWLES COMMISSION FOR RESEARCH IN ECONOMICS</aff>
<author-notes>
<fn id="fn1">
<label>*</label>
<p> Based on Cowles Commission Discussion Paper, Economics, No. 2067 (January, 1953). This article has been prepared under contract Nonr-358(01), NR 047-006 between the Office of Naval Research and the Cowles Commission for Research in Economics.</p>
<p>I am grateful to E. Malinvaud, staff members and guests of the Cowles Commission, in particular I. N. Herstein, L. Hurwicz, T. C. Koopmans, and R. Radner for their comments.</p>
</fn>
</author-notes>
<pub-date pub-type="ppub">
<month>07</month>
<year>1954</year>
</pub-date>
<volume>40</volume>
<issue>7</issue>
<fpage>588</fpage>
<lpage>592</lpage>
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