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Logarithmic convexity of fixed points of stochastic kernel operators

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Abstract

In this paper we prove results on logarithmic convexity of fixed points of stochastic kernel operators. These results are expected to play a key role in the economic application to strategic market games.

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Acknowledgements

The author thanks Marko Kandić, Roman Drnovšek, Helena Šmigoc and the referee for their comments that improved the presentation of the paper. This work was supported in part by Grants P1-0222 and J1-8133 of the Slovenian Research Agency and by the JESH grant of the Austrian Academy of Sciences.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva 6, SI-1000, Ljubljana, Slovenia

    Aljoša Peperko

  2. Institute of Mathematics, Physics and Mechanics, Jadranska 19, SI-1000, Ljubljana, Slovenia

    Aljoša Peperko

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  1. Aljoša Peperko
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Correspondence to Aljoša Peperko.

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Peperko, A. Logarithmic convexity of fixed points of stochastic kernel operators. Positivity 23, 367–377 (2019). https://doi.org/10.1007/s11117-018-0611-4

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  • DOI: https://doi.org/10.1007/s11117-018-0611-4

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