On recursive utilities with non-affine aggregator and conditional certainty equivalent
研究了跨期彩票上递归效用函数的存在性和唯一性，通过非线性算子迭代得到效用函数，并利用贝尔曼算子迭代找到最大效用和最优策略。
Abstract In this paper, we consider the problem of the existence and the uniqueness of a recursive utility function defined on intertemporal lotteries. The purpose of this paper is to provide the results of the existence and the uniqueness of a recursive utility function. The utility function is obtained as the limit of iterations on a nonlinear operator and is independent on initial starting points, with iterations converging at an exponential rate. We also find the maximum utility and an optimal strategy by means of iterations of the Bellman operator.