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Advanced methods of stochastic orders for financial applications

Public support

  • Provider

    Czech Science Foundation

  • Programme

    Standard projects

  • Call for proposals

    SGA0202600001

  • Main participants

    Univerzita Karlova / Matematicko-fyzikální fakulta

  • Contest type

    VS - Public tender

  • Contract ID

    26-21034S

Alternative language

  • Project name in Czech

    Advanced methods of stochastic orders for financial applications

  • Annotation in Czech

    Stochastic dominance has been introduced as a tool for predicting a decision maker's choice between pairs of uncertain prospects, without having a precise knowledge of his/her utility function, but just some information about his/her risk attitude. The project proposes new models and techniques for decision making using stochastic dominance principle. In particular, portfolio selection problems with decreasing absolute risk aversion stochastic dominance constraints as well as bi-level stochastic optimization problems with efficiency constraints in order to fill in a research gap will be introduced and analyzed. Moreover, the concept of measures of stochastic non-dominance will be newly applied to portfolio selection and multi-stage stochastic programming problems. To improve a modelization in terms of flexibility in investor’s preferences, some recent works establish continuum of dominance relations. The issue of testing these new stochastic dominance relations, which is crucially important from a practical point of view will be addressed since it is still missing in literature.

Scientific branches

  • R&D category

    ZV - Basic research

  • OECD FORD - main branch

    50202 - Applied Economics, Econometrics

  • OECD FORD - secondary branch

    50206 - Finance

  • OECD FORD - another secondary branch

  • CEP - equivalent branches <br>(according to the <a href="http://www.vyzkum.cz/storage/att/E6EF7938F0E854BAE520AC119FB22E8D/Prevodnik_oboru_Frascati.pdf">converter</a>)

    AH - Economics<br>GA - Agricultural economics

Solution timeline

  • Realization period - beginning

    Jan 1, 2026

  • Realization period - end

    Dec 31, 2028

  • Project status

    Z - Beginning multi-year project

  • Latest support payment

Data delivery to CEP

  • Confidentiality

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

  • Data delivery code

    CEP26-GA0-GA-R

  • Data delivery date

    May 19, 2026

Finance

  • Total approved costs

    7,362 thou. CZK

  • Public financial support

    6,999 thou. CZK

  • Other public sources

    363 thou. CZK

  • Non public and foreign sources

    0 thou. CZK