Characterization of uniformly quasi-concave functions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10125937" target="_blank" >RIV/00216208:11320/12:10125937 - isvavai.cz</a>

Výsledek na webu

<a href="http://mme2012.opf.slu.cz/proceedings/pdf/077_Kopa_L.pdf" target="_blank" >http://mme2012.opf.slu.cz/proceedings/pdf/077_Kopa_L.pdf</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Characterization of uniformly quasi-concave functions

Popis výsledku v původním jazyce

Quasi-concave functions appears in economics and nance as utility functions, measures of risk or other objects, mainly in portfolio selection analysis. A special attention was paid to these functions in the minimax theory. Unfortunately, their limited application is due to the fact that supremum, sum, product of quasi-concave functions are typically not quasi-concave. This difficulty is removed by establishing of uniformly quasi-concave functions, due to Prekopa, Yoda and Subasi (2011). Supremum and sumof uniformly quasi-concave functions are also a quasi-concave function. Moreover, product of nonnegative uniformly quasi-concave functions is a quasi-concave function. We contribute with a new characterization of uniformly quasi-concave functions that allows for easier verication and provide more straightforward insight. Hence, application and usage of uniformly quasi-concave functions become to be easier and more natural.

Název v anglickém jazyce

Characterization of uniformly quasi-concave functions

Popis výsledku anglicky

Quasi-concave functions appears in economics and nance as utility functions, measures of risk or other objects, mainly in portfolio selection analysis. A special attention was paid to these functions in the minimax theory. Unfortunately, their limited application is due to the fact that supremum, sum, product of quasi-concave functions are typically not quasi-concave. This difficulty is removed by establishing of uniformly quasi-concave functions, due to Prekopa, Yoda and Subasi (2011). Supremum and sumof uniformly quasi-concave functions are also a quasi-concave function. Moreover, product of nonnegative uniformly quasi-concave functions is a quasi-concave function. We contribute with a new characterization of uniformly quasi-concave functions that allows for easier verication and provide more straightforward insight. Hence, application and usage of uniformly quasi-concave functions become to be easier and more natural.

Druh

D - Stať ve sborníku

CEP obor

BB - Aplikovaná statistika, operační výzkum

OECD FORD obor

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Projekt

<a href="/cs/project/GBP402%2F12%2FG097" target="_blank" >GBP402/12/G097: DYME-Dynamické modely v ekonomii</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Proceedings of 30th International Conference Mathematical Methods in Economics

ISBN

978-80-7248-779-0

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

449-454

Název nakladatele

Silesian University in Opava, School of Business Administration in Karviná

Místo vydání

Karviná

Místo konání akce

Karviná

Datum konání akce

11. 9. 2012

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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