Péter Csóka () (Department of Economics, Universiteit Maastricht) Jean-Jacques Herings () (Department of Economics, Universiteit Maastricht) László Kóczy () (Department of Economics, Universiteit Maastricht)
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Coherent measures of risk defined by the axioms of monotonicity, subadditivity, positive homogeneity, and translation invariance are recent tools in risk management to assess the amount of risk agents are exposed to. If they also satisfy law invariance and comonotonic additivity, then we get a subclass of them: spectral measures of risk. Expected shortfall is a well-known spectral measure of risk is. We investigate the above mentioned six axioms using tools from general equi- librium (GE) theory. Coherent and spectral measures of risk are compared to the natural measure of risk derived from an exchange economy model, that we call GE measure of risk. We prove that GE measures of risk are coherent measures of risk. We also show that spectral measures of risk can be represented by GE measures of risk only under stringent conditions, since spectral measures of risk do not take the regulated entity's relation to the market portfolio into account. To give more insights, we characterize the set of GE measures of risk.
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Paper provided by Institute of Economics, Hungarian Academy of Sciences in its series IEHAS Discussion Papers with number
0611.
References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
Grigorieva,Elena & Herings,P. Jean-Jacques & Müller,Rudolf & Vermeulen,Dries, 2002.
"The private value single item bisection auction,"
Research Memoranda
051, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
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Cited by: (explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)
Péter Csóka & P. Jean-Jacques Herings & László Á. Kóczy, 2007.
"Stable Allocations of Risk,"
Working Paper Series
0802, Budapest Tech, Keleti Faculty of Economics, revised Apr 2008.
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Other versions:
Csóka, Péter & Herings, P. Jean-Jacques & Kóczy, László Á,, 2007.
"Stable Allocations of Risk,"
Research Memoranda
040, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
[Downloadable!]