Recursive utility for Thompson aggregators: Uniqueness via concave operator theory and iterative approximations
Communications in Optimization Theory · 2025
An alternative proof of the uniqueness theorem for recursive utility specified by a Thompson aggregator is available by verifying the Koopmans operator is a u 0concave operator.The Koopmans operator's unique fixed point is a recursive utility.Uniqueness holds only on the interior of the commodity space's positive cone.Consideration of rconcave operators also yields a unique fixed point.An a posteriori error bound relates the norm difference between successive approximations of the fixed point and the fixed point.