2010/04/29 by Nicole El Karoui, Karoui, N. El, Mohamed Mrad +1 · 1 citation
Decision Sciences · Economics, Econometrics and Finance · #Computational Finance (q-fin.CP) #Economic theories and models #FOS: Economics and business #FOS: Mathematics #Probability (math.PR) #Risk and Portfolio Optimization #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.1004.5192
openalex publication_date 2010/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper generalizes the construction by stochastic flows of consistent utility processes introduced by M. Mrad and N. El Karoui in (2010). The utilities random fields are defined from a general class of processes denoted by \GX. Making minimal assumptions and convex constraints on test-processes, we construct by composing two stochastic flows of homeomorphisms, all the consistent stochastic utilities whose the optimal-benchmark process is given, strictly increasing in its initial condition. Proofs are essentially based on stochastic change of variables techniques.