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On the Impossibility of Fair Risk Allocation

Péter Csóka and Miklos Pinter ()
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Miklos Pinter: Department of Mathematics - Corvinus University of Budapest

No 1117, CERS-IE WORKING PAPERS from Institute of Economics, Centre for Economic and Regional Studies

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 the natural requirements of (Solution) 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. Our result can also be seen as a downside of coherent measures of risk.

Keywords: Coherent Measures of Risk; Risk Allocation Games; Totally Balanced Games; Exact Games; Shapley value; Solution core (search for similar items in EconPapers)
JEL-codes: C71 G10 (search for similar items in EconPapers)
Pages: 25 pages
Date: 2011-04
New Economics Papers: this item is included in nep-ban, nep-gth and nep-rmg
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Citations: View citations in EconPapers (3)

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Related works:
Journal Article: On the Impossibility of Fair Risk Allocation (2016) Downloads
Working Paper: On the impossibility of fair risk allocation (2014) Downloads
Working Paper: On the impossibility of fair risk allocation (2010) Downloads
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