Portfolio dominance and optimality in infinite security markets
Identifieur interne : 000754 ( Main/Curation ); précédent : 000753; suivant : 000755Portfolio dominance and optimality in infinite security markets
Auteurs : C. D. Aliprantis [États-Unis] ; D. J. Brown [États-Unis] ; I. A. Polyrakis [Grèce] ; J. Werner [États-Unis, Allemagne]Source :
- Journal of Mathematical Economics [ 0304-4068 ] ; 1998.
Abstract
The most natural way of ordering portfolios is by comparing their payoffs. A portfolio with payoff higher than the payoff of another portfolio is greater in the sense of portfolio dominance than that other portfolio. Portfolio dominance is a lattice order if the supremum and the infimum of any two portfolios are well-defined. We study security markets with infinitely many securities and arbitrary finite portfolio holdings. If portfolio dominance order is a lattice order and has a Yudin basis, then optimal portfolio allocations and equilibria in security markets do exist.
Url:
DOI: 10.1016/S0304-4068(97)00038-4
Links toward previous steps (curation, corpus...)
- to stream Main, to step Corpus: Pour aller vers cette notice dans l'étape Curation :000754
Links to Exploration step
ISTEX:BA05C55D22E88816902E1373EE2BA086BEBBB12BLe document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title>Portfolio dominance and optimality in infinite security markets</title><author><name sortKey="Aliprantis, C D" sort="Aliprantis, C D" uniqKey="Aliprantis C" first="C. D." last="Aliprantis">C. D. Aliprantis</name><affiliation wicri:level="1"><mods:affiliation>Departments of Mathematics and Economics, IUPUI, USA</mods:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Departments of Mathematics and Economics, IUPUI</wicri:regionArea></affiliation><affiliation wicri:level="1"><mods:affiliation>Department of Economics, Cornell University, Ithaca, NY, USA</mods:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Economics, Cornell University, Ithaca, NY</wicri:regionArea></affiliation><affiliation wicri:level="1"><mods:affiliation>Division of Humanities and Social Sciences, CALTECH, Pasadena, CA, USA</mods:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Division of Humanities and Social Sciences, CALTECH, Pasadena, CA</wicri:regionArea></affiliation></author><author><name sortKey="Brown, D J" sort="Brown, D J" uniqKey="Brown D" first="D. J." last="Brown">D. J. Brown</name><affiliation wicri:level="1"><mods:affiliation>Department of Economics, Yale University, New Haven, CT, USA</mods:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Economics, Yale University, New Haven, CT</wicri:regionArea></affiliation></author><author><name sortKey="Polyrakis, I A" sort="Polyrakis, I A" uniqKey="Polyrakis I" first="I. A." last="Polyrakis">I. A. Polyrakis</name><affiliation wicri:level="1"><mods:affiliation>Department of Mathematics, National Technical University, Athens, Greece</mods:affiliation><country xml:lang="fr">Grèce</country><wicri:regionArea>Department of Mathematics, National Technical University, Athens</wicri:regionArea></affiliation></author><author><name sortKey="Werner, J" sort="Werner, J" uniqKey="Werner J" first="J." last="Werner">J. Werner</name><affiliation wicri:level="1"><mods:affiliation>Department of Economics, University of Minnesota, 271 19th Avenue South, Minneapolis, MN 55455, USA</mods:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Economics, University of Minnesota, 271 19th Avenue South, Minneapolis, MN 55455</wicri:regionArea></affiliation><affiliation wicri:level="1"><mods:affiliation>Department of Economics, University of Bonn, Bonn, Germany</mods:affiliation><country xml:lang="fr">Allemagne</country><wicri:regionArea>Department of Economics, University of Bonn, Bonn</wicri:regionArea></affiliation><affiliation wicri:level="1"><mods:affiliation>Corresponding Author. Department of Economics, University of Minnesota, 271 19th Avenue South, Minneapolis, MN 55455, USA.</mods:affiliation><country xml:lang="fr" wicri:curation="lc">États-Unis</country><wicri:regionArea>Corresponding Author. Department of Economics, University of Minnesota, 271 19th Avenue South, Minneapolis, MN 55455</wicri:regionArea></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:BA05C55D22E88816902E1373EE2BA086BEBBB12B</idno><date when="1998" year="1998">1998</date><idno type="doi">10.1016/S0304-4068(97)00038-4</idno><idno type="url">https://api.istex.fr/document/BA05C55D22E88816902E1373EE2BA086BEBBB12B/fulltext/pdf</idno><idno type="wicri:Area/Main/Corpus">000754</idno><idno type="wicri:Area/Main/Curation">000754</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a">Portfolio dominance and optimality in infinite security markets</title><author><name sortKey="Aliprantis, C D" sort="Aliprantis, C D" uniqKey="Aliprantis C" first="C. D." last="Aliprantis">C. D. Aliprantis</name><affiliation wicri:level="1"><mods:affiliation>Departments of Mathematics and Economics, IUPUI, USA</mods:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Departments of Mathematics and Economics, IUPUI</wicri:regionArea></affiliation><affiliation wicri:level="1"><mods:affiliation>Department of Economics, Cornell University, Ithaca, NY, USA</mods:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Economics, Cornell University, Ithaca, NY</wicri:regionArea></affiliation><affiliation wicri:level="1"><mods:affiliation>Division of Humanities and Social Sciences, CALTECH, Pasadena, CA, USA</mods:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Division of Humanities and Social Sciences, CALTECH, Pasadena, CA</wicri:regionArea></affiliation></author><author><name sortKey="Brown, D J" sort="Brown, D J" uniqKey="Brown D" first="D. J." last="Brown">D. J. Brown</name><affiliation wicri:level="1"><mods:affiliation>Department of Economics, Yale University, New Haven, CT, USA</mods:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Economics, Yale University, New Haven, CT</wicri:regionArea></affiliation></author><author><name sortKey="Polyrakis, I A" sort="Polyrakis, I A" uniqKey="Polyrakis I" first="I. A." last="Polyrakis">I. A. Polyrakis</name><affiliation wicri:level="1"><mods:affiliation>Department of Mathematics, National Technical University, Athens, Greece</mods:affiliation><country xml:lang="fr">Grèce</country><wicri:regionArea>Department of Mathematics, National Technical University, Athens</wicri:regionArea></affiliation></author><author><name sortKey="Werner, J" sort="Werner, J" uniqKey="Werner J" first="J." last="Werner">J. Werner</name><affiliation wicri:level="1"><mods:affiliation>Department of Economics, University of Minnesota, 271 19th Avenue South, Minneapolis, MN 55455, USA</mods:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Economics, University of Minnesota, 271 19th Avenue South, Minneapolis, MN 55455</wicri:regionArea></affiliation><affiliation wicri:level="1"><mods:affiliation>Department of Economics, University of Bonn, Bonn, Germany</mods:affiliation><country xml:lang="fr">Allemagne</country><wicri:regionArea>Department of Economics, University of Bonn, Bonn</wicri:regionArea></affiliation><affiliation wicri:level="1"><mods:affiliation>Corresponding Author. Department of Economics, University of Minnesota, 271 19th Avenue South, Minneapolis, MN 55455, USA.</mods:affiliation><country xml:lang="fr" wicri:curation="lc">États-Unis</country><wicri:regionArea>Corresponding Author. Department of Economics, University of Minnesota, 271 19th Avenue South, Minneapolis, MN 55455</wicri:regionArea></affiliation></author></analytic><monogr></monogr><series><title level="j">Journal of Mathematical Economics</title><title level="j" type="abbrev">MATECO</title><idno type="ISSN">0304-4068</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="1998">1998</date><biblScope unit="volume">30</biblScope><biblScope unit="issue">3</biblScope><biblScope unit="page" from="347">347</biblScope><biblScope unit="page" to="366">366</biblScope></imprint><idno type="ISSN">0304-4068</idno></series><idno type="istex">BA05C55D22E88816902E1373EE2BA086BEBBB12B</idno><idno type="DOI">10.1016/S0304-4068(97)00038-4</idno><idno type="PII">S0304-4068(97)00038-4</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0304-4068</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The most natural way of ordering portfolios is by comparing their payoffs. A portfolio with payoff higher than the payoff of another portfolio is greater in the sense of portfolio dominance than that other portfolio. Portfolio dominance is a lattice order if the supremum and the infimum of any two portfolios are well-defined. We study security markets with infinitely many securities and arbitrary finite portfolio holdings. If portfolio dominance order is a lattice order and has a Yudin basis, then optimal portfolio allocations and equilibria in security markets do exist.</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Amerique/explor/CaltechV1/Data/Main/Curation
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000754 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Curation/biblio.hfd -nk 000754 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Amerique
|area= CaltechV1
|flux= Main
|étape= Curation
|type= RBID
|clé= ISTEX:BA05C55D22E88816902E1373EE2BA086BEBBB12B
|texte= Portfolio dominance and optimality in infinite security markets
}}
| This area was generated with Dilib version V0.6.32. |  |