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Modelling under ambiguity with two correlated Choquet-Brownian motions

Author

Listed:
  • David Roubaud

    (Montpellier Business School, Montpellier Research in Management)

  • Alain Lapied

    (Aix Marseille Univ (Aix-Marseille School of Economics), CNRS & EHESS)

  • Robert Kast

    (CNRS, LAMETA-INRA)

Abstract

Modelling under ambiguity in financial and economic models implies a sound characterisation of ambiguity sources. We expand the seminal work of Kast et al. (2014) who first defined Choquet Random Walks (CRW) and Choquet-Brownian Motions (CBM). Their work allows modelling in the presence of a single source of ambiguity and is used in various contexts, such as investment decisions and portfolio choices. As it is often useful (or even imperative) to introduce multiple sources of ambiguity, we expand the Choquet Brownian model for two correlated sources of ambiguity. Using properties of correlation, we first establish key results for correlated dynamically coherent Choquet Random Walks. We extend it to continuous-time for two correlated sources of ambiguity, each represented by a Choquet-Brownian Motion. Thus, we demonstrate that CBM are sufficiently tractable to adapt to more complex model settings, in the presence of uncertainty represented through two correlated sources of ambiguity. We apply our theoretical model to the optimal portfolio choice of traded assets.

Suggested Citation

  • David Roubaud & Alain Lapied & Robert Kast, 2017. "Modelling under ambiguity with two correlated Choquet-Brownian motions," Economics Bulletin, AccessEcon, vol. 37(2), pages 1012-1020.
    • Handle: RePEc:ebl:ecbull:eb-17-00281
    as

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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Ambiguity models; Choquet-Brownian Motion; correlated random walk Ambiguity models; Choquet-Brownian Motion; correlated random walk;
    All these keywords.

    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • D9 - Microeconomics - - Micro-Based Behavioral Economics

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