Recursive utility with unbounded aggregators

A new framework is presented for the study of the existence and uniqueness of solutions to the Koopmans’ equation in the unbounded case, that is based on the contraction mapping approach. In the bounded below case with bounded consumption streams, uniqueness of the solution in the whole class of weak-star continuous utility functions is obtained. When the aggregator is unbounded below and/or consumption streams are unbounded, existence of a weak-star continuous solution is shown, and a simple criterium to check the sufficient conditions for existence is provided. Juan Pablo Rincón-Zapatero and Carlos Rodríguez-Palmero gratefully acknowledge financial support by the Ministerio de Educación y Ciencia and FEDER funds under Research Projects MTM2005-06534 and SEJ2005-08709/ECON, respectively, and by Consejería de Educación de la Junta de Castilla y León under Research Projects VA99/04 and VA017B05, respectively. This paper has substantially benefited from the comments of an anonymous referee. Particular and special thanks are due to Robert Becker for his very helpful comments and valuable suggestions.     

Diversification, convex preferences and non-empty core in the Choquet expected utility model

Summary. We show, in the Choquet expected utility model, that preference for diversification, that is, convex preferences, is equivalent to a concave utility index and a convex capacity. We then introduce a weaker notion of diversification, namely “sure diversification.” We show that this implies that the core of the capacity is non-empty. The converse holds under concavity of the utility index, which is itself equivalent to the notion of comonotone diversification, that we introduce. In an Anscombe-Aumann setting, preference for diversification is equivalent to convexity of the capacity and preference for sure diversification is equivalent to non-empty core. In the expected utility model, all these notions of diversification are equivalent and are represented by the concavity of the utility index. Received: July 27, 1999; revised version: November 7, 2000     

Revisiting Savage in a conditional world

Summary. I present an axiomatization of subjective expected utility and Bayesian updating in a conditional decision problem. This result improves our understanding of the Bayesian standard from two perspectives: 1) it uses a set of axioms which are weak and intuitive; 2) it provides a formal proof to results on the relation between dynamic consistency, expected utility and Bayesian updating which have never been explicitly proved in a fully subjective framework. Received: December 1, 2000; revised version: February 26, 2001     

阻碍资本外流契约对区域经济的影响

阻碍资本外流契约不仅影响资本优化配置,也削弱代理人在优惠回报契约中的谈判力,从而使区域经济难以实现效用最大化.同时,在存在代理人道德风险的情况下,阻碍资本外流契约所规定的撤资高额违约金会妨碍区域经济总效用最大化的实现.应从制度上消除区域内外资本的等级差别,规定区域融资契约合理的法定有效期,并制定强有力的法律来制止区域融资主体迫使投资者与之签订只体现自己意愿的阻碍资本外流契约.     

An optimization approach to business buyer choice sets: How many suppliers should be included?

In many new or repeat purchasing situations, business buyers must decide how many suppliers to consider (a “choice set”) in determining which supplier(s) to actually buy from or contract with. This paper develops an optimization approach to determining the size of the choice set, taking into consideration buyer utility and search and evaluation costs. A theoretical model is developed for both one-time and repeat purchase situations. The model is estimated using empirical data received from bids received for procurement auctions. In these auctions, suppliers provide bids for steel pipe based on two product attributes (price and delivery time). Model sensitivity to small changes in parameters is also tested.     

Expected exponential utility maximization of insurers with a Linear Gaussian stochastic factor model

In this paper, we consider the problem of optimal investment by an insurer. The wealth of the insurer is described by a Cramér–Lundberg process. The insurer invests in a market consisting of a bank account and m risky assets. The mean returns and volatilities of the risky assets depend linearly on economic factors that are formulated as the solutions of linear stochastic differential equations. Moreover, the insurer preferences are exponential. With this setting, a Hamilton–Jacobi–Bellman equation that is derived via a dynamic programming approach has an explicit solution found by solving the matrix Riccati equation. Hence, the optimal strategy can be constructed explicitly. Finally, we present some numerical results related to the value function and the ruin probability using the optimal strategy.     

农户土地转出的影响因素研究*——基于土地流转补贴政策效用的视角

[目的]基于安徽省蚌埠市的调研数据,实证研究土地流转补贴政策对土地转出的影响,分析土地流转补贴政策效用。[方法]文章根据国内外相关研究成果,结合调研地区的具体环境因素,提出研究假设,选取农户的家庭人口特征、社会经济特征和土地资源禀赋等变量,构建回归模型,运用SPSS统计软件分析农户土地转出的影响因素及土地流转补贴政策的效用。[结果]直接影响农户土地转出的因素包括非农就业、非农收入、农民离乡进城务工条件和土地资源禀赋等,农民获得的土地流转补贴占家庭总收入的比重非常小,对农户转出土地的意愿起不到显著促进作用。[结论]因此,促进土地有序流转必须把土地流转补贴等财政扶持资金转移到基本生产设施的建设上,改善农业生产经营条件,增强新型农业经营主体的土地转入积极性;通过创造非农就业机会,增加非农收入,完善农村社会保障服务体系,促进农民工市民化等措施,弱化农民对土地的依赖,从而增强农民转出土地的积极性。     

论公共产品理论与劳动价值论的耦合及其意义

传统劳动价值论对商品范围的界定存在局限。如果把所有能够满足人们需要的用来交换的劳动成果,不管是有形的还是无形的都视为商品,商品就包括私人商品和公共商品(产品)两大类,基于这一认识,实现公共商品(产品)理论与劳动价值论的耦合,不仅有助于丰富、完善劳动价值论,使之经济解释力增强,而且有助于丰富、完善公共产品理论,使之真正成为财政学的理论基础。     

A. Palmström

Abstract

1. Mr R. Frisch has recently ¹ Ragnar Frisch: Sur les semi-invariants et moments employés dans l'étude des distributions statistiques, Oslo, 1926 (Det Norske VidenskabsAkademis Skrifter, II N:o 3), p. 26. established the interesting identity     

Portfolio optimization under model uncertainty and BSDE games

We consider robust optimal portfolio problems for markets modeled by (possibly non-Markovian) Itô–Lévy processes. Mathematically, the situation can be described as a stochastic differential game, where one of the players (the agent) is trying to find the portfolio that maximizes the utility of her terminal wealth, while the other player (“the market”) is controlling some of the unknown parameters of the market (e.g., the underlying probability measure, representing a model uncertainty problem) and is trying to minimize this maximal utility of the agent. This leads to a worst case scenario control problem for the agent. In the Markovian case, such problems can be studied using the Hamilton–Jacobi–Bellman–Isaacs (HJBI) equation, but these methods do not work in the non-Markovian case. We approach the problem by transforming it into a stochastic differential game for backward stochastic differential equations (a BSDE game). Using comparison theorems for BSDEs with jumps we arrive at criteria for the solution of such games in the form of a kind of non-Markovian analogue of the HJBI equation. The results are illustrated by examples.