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  • 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 sum of 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.
  • 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 sum of 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. (en)
Title
  • Characterization of uniformly quasi-concave functions
  • Characterization of uniformly quasi-concave functions (en)
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  • Characterization of uniformly quasi-concave functions
  • Characterization of uniformly quasi-concave functions (en)
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  • RIV/00216208:11320/12:10125937!RIV13-GA0-11320___
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  • P(GBP402/12/G097)
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  • 126852
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  • RIV/00216208:11320/12:10125937
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  • monotonicity.; total ordering; partial ordering; uniformly quasi-concave functions; Quasi-concave function (en)
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  • [BD9D74CABCB4]
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  • Karviná
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  • Proceedings of 30th International Conference Mathematical Methods in Economics
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  • Kopa, Miloš
  • Lachout, Petr
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  • Slezská univerzita v Opavě. Obchodně podnikatelská fakulta v Karviné
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  • 978-80-7248-779-0
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  • 11320
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