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<title xml:lang="en">A Social Equilibrium Existence Theorem
<xref ref-type="fn" rid="fn1">*</xref>
</title>
<author>
<name sortKey="Debreu, Gerard" sort="Debreu, Gerard" uniqKey="Debreu G" first="Gerard" last="Debreu">Gerard Debreu</name>
</author>
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<idno type="pmid">16589195</idno>
<idno type="pmc">1063675</idno>
<idno type="url">http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1063675</idno>
<idno type="RBID">PMC:1063675</idno>
<date when="1952">1952</date>
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<title xml:lang="en" level="a" type="main">A Social Equilibrium Existence Theorem
<xref ref-type="fn" rid="fn1">*</xref>
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<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="1952">1952</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>
</journal-meta>
<article-meta>
<article-id pub-id-type="pmid">16589195</article-id>
<article-id pub-id-type="pmc">1063675</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Mathematics</subject>
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<title-group>
<article-title>A Social Equilibrium Existence Theorem
<xref ref-type="fn" rid="fn1">*</xref>
</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Debreu</surname>
<given-names>Gerard</given-names>
</name>
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<aff id="af1">Cowles Commission for Research in Economics</aff>
<author-notes>
<fn id="fn1">
<label>*</label>
<p>Based on two Cowles Commission Discussion Papers, Mathematics 412 (Nov. 1, 1951) and Economics 2032 (Feb. 11, 1952). This paper has been undertaken as part of the project on the theory of allocation of resources conducted by the Cowles Commission for Research in Economics under contract with The RAND Corporation. To be reprinted as Cowles Commission Paper, New Series, No. 64.</p>
<p>One of the main motivations for this article has been to lay the mathematical foundations for the paper by Arrow and Debreu;
<sup>2</sup>
in this respect I am greatly indebted to K. J. Arrow. Acknowledgment is also due to staff members and guests of the Cowles Commission and very particularly to I. N. Herstein and J. Milnor. I owe to J. L. Koszul and D. Montgomery references 6 and 3. Finally I had the privilege of consulting with S. MacLane and A. Weil on the contents of Ref. 6.</p>
</fn>
</author-notes>
<pub-date pub-type="ppub">
<month>10</month>
<year>1952</year>
</pub-date>
<volume>38</volume>
<issue>10</issue>
<fpage>886</fpage>
<lpage>893</lpage>
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