Time-Consistency of Indifference Prices and Monetary Utility Functions

Author(s):  
Patrick Cheridito ◽  
Michael Kupper

Author(s):  
Freddy Delbaen

AbstractIt is proved that monetary utility functions that are commonotonic and time-consistent are conditional expectations. We also give additional results on atomless and conditionally atomless probability spaces. These notions describe that in a filtration, there are many new events at each time step.





2008 ◽  
Vol 11 (03) ◽  
pp. 325-343 ◽  
Author(s):  
DAMIR FILIPOVIĆ ◽  
MICHAEL KUPPER

This paper provides sufficient and necessary conditions for the existence of equilibrium pricing rules for monetary utility functions under convex consumption constraints. These utility functions are characterized by the assumption of a fully fungible numeraire asset ("cash"). Each agent's utility is nominally shifted by exactly the amount of cash added to his endowment. We find the individual maximum utility that each agent is eligible for in an equilibrium and provide a game theoretic point of view for the fair allocation of the aggregate utility.



2008 ◽  
Vol 18 (2) ◽  
pp. 269-292 ◽  
Author(s):  
E. Jouini ◽  
W. Schachermayer ◽  
N. Touzi


2010 ◽  
Vol 21 (6) ◽  
pp. 1208-1219 ◽  
Author(s):  
Wei ZHANG ◽  
Hang-Jun ZHOU ◽  
Yu-Xing PENG ◽  
Si-Kun LI




1963 ◽  
Vol 30 (3) ◽  
pp. 267-273 ◽  
Author(s):  
David Harrah
Keyword(s):  


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