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On the impossibility of fair risk allocation

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  • Csóka, Péter
  • Pintér, Miklós

Abstract

Measuring and allocating risk properly are crucial for performance evaluation and internal capital allocation of portfolios held by banks, insurance companies, investment funds and other entities subject to financial risk. We show that by using coherent measures of risk it is impossible to allocate risk satisfying simultaneously the natural requirements of Core Compatibility, Equal Treatment Property and Strong Monotonicity. To obtain the result we characterize the Shapley value on the class of totally balanced games and also on the class of exact games.

Suggested Citation

  • Csóka, Péter & Pintér, Miklós, 2014. "On the impossibility of fair risk allocation," Corvinus Economics Working Papers (CEWP) 2014/12, Corvinus University of Budapest.
    • Handle: RePEc:cvh:coecwp:2014/12
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    File URL: https://unipub.lib.uni-corvinus.hu/1658/
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    Cited by:

    1. Csóka, Péter & Bátyi, Tamás László & Pintér, Miklós & Balog, Dóra, 2011. "Tőkeallokációs módszerek és tulajdonságaik a gyakorlatban [Methods of capital allocation and their characteristics in practice]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 619-632.
    2. Dóra Balog & Tamás László Bátyi & Péter Csóka & Miklós Pintér, 2014. "Properties of risk capital allocation methods: Core Compatibility, Equal Treatment Property and Strong Monotonicity," CERS-IE WORKING PAPERS 1417, Institute of Economics, Centre for Economic and Regional Studies.
    3. Dora Balog, 2011. "Capital allocation in financial institutions: the Euler method," CERS-IE WORKING PAPERS 1126, Institute of Economics, Centre for Economic and Regional Studies.
    4. Hougaard, Jens Leth & Smilgins, Aleksandrs, 2016. "Risk capital allocation with autonomous subunits: The Lorenz set," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 151-157.
    5. Boonen, Tim J., 2017. "Risk Redistribution Games With Dual Utilities," ASTIN Bulletin, Cambridge University Press, vol. 47(1), pages 303-329, January.
    6. Miklós Pintér, 2015. "Young’s axiomatization of the Shapley value: a new proof," Annals of Operations Research, Springer, vol. 235(1), pages 665-673, December.

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    More about this item

    Keywords

    Coherent Measures of Risk; Risk Allocation Games; Totally Balanced Games; Exact Games; Shapley value; Core;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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