Utility Functions

Abstract

This article is a self-contained survey of utility functions and some of their applications. Throughout the paper the theory is illustrated by three examples: exponential utility functions, power utility functions of the first kind (such as quadratic utility functions), and power utility functions of the second kind (such as the logarithmic utility function). The postulate of equivalent expected utility can be used to replace a random gain by a fixed amount and to determine a fair premium for claims to be insured, even if the insurer’s wealth without the new contract is a random variable itself. Then n companies (or economic agents) with random wealth are considered. They are interested in exchanging wealth to improve their expected utility. The family of Pareto optimal risk exchanges is characterized by the theorem of Borch. Two specific solutions are proposed. The first, believed to be new, is based on the synergy potential; this is the largest amount that can be withdrawn from the system without hurting any company in terms of expected utility. The second is the economic equilibrium originally proposed by Borch. As by-products, the option-pricing formula of Black-Scholes can be derived and the Esscher method of option pricing can be explained.     

Chinese children’s attitudes towards television advertising: truthfulness and liking

This benchmarking study examines Chinese children.s perceived truthfulness of and liking for television advertising in three Chinese cities with different developmental levels of advertising. An in-person survey of 1758 children (ages 6 to 14) was conducted between December 2001 and March 2002 using a structured questionnaire. Results indicate that a majority of children perceive half of the television commercials to be true, although this varies by grade and geography. Children in Beijing perceived television commercials to be more trustworthy than did children in Nanjing and Chengdu. The percentage of children who perceive all commercials to be true declines consistently with grade in all three cities. There is a high proportion of first graders who perceive all commercials to be untrue. The basis for judgement varies predominantly by grade. Children in higher grades depend more on brand and user experience while children in lower grades rely mainly on authority (i.e. parents or teachers). A high proportion of first graders hold both a strong liking and disliking for commercials. These strong feelings towards advertising decreased with grade, being replaced by a marked increase in neutral or indifferent feelings. Gender and level of television viewing do not show a consistent impact on perceived truthfulness and liking for commercials. Perceived truthfulness of television advertising is related positively with liking for commercials.     

Marketing Metrics Use in a Transition Economy: The Case of Vietnam

ABSTRACT

This article explores the use of marketing metrics by a sample of Vietnamese firms, providing an example of the use of marketing metrics in a “transition” economy as it grows and becomes more market and marketing driven. The analysis reports usage frequency and then develops a set of “correlation chains” linking firm characteristics, metric use, and various indicators of performance. Vietnamese managers generally report that several types of metrics are used. Ownership structure and industry also impact which metrics are utilized. An initial assessment of chains relating metric use to firm performance indicates that the impact is complex and indirect.     

Urban Development Revisited: The Role of Neighborhood Needs and Local Participation in Urban Revitalization

Traditional models of economic development such as economic base and urban revitalization models have been found wanting. Both models rely on expert-based assessments of local development needs. More recent approaches call for a stronger focus on local development needs and resident skills as the basis for designing development strategies. One such neighborhood-based approach to development is presented in this paper. Its initial step was a survey of 444 households representing 1398 residents conducted in the Hamilton Hill and Vale neighborhoods of Schenectady, New York a 'downsized' community of about 65,000 residents in the Capital District of New York State. Survey results show a strong need for recreation, childcare, a grocery store, care for the elderly and home repairs. Residents' self-assessed job skills and interests appear to be well suited to meet these needs. Yet despite these promising results, barriers to neighborhood-based development persist. These barriers reiterate the long history of isolation prevalent in US inner city neighborhoods. Two issues are particularly characteristic of the barriers that continue to keep urban neighborhoods isolated from their larger context. They are: (1) a lack of effective communication between local residents and decision makers; and (2) a lack of valuation systems that properly assess the value of social and environmental context and their contributions to local development.     

Gut geruht?

Schlafst?rungen vorbeugen - Oft sind Schlafst?rungen Bestandteil psychischer, organischer oder neurologisch degenerativer Erkrankungen. Sie k?nnen aber auch die Folge falschen Verhaltens oder ungemessener Schlafbedingungen sein. Also: Was f?rdert gesunden Schlaf, was behindert ihn?     

The optimal selective logging regime and the Faustmann formula

This study analyzes the optimal selective logging regime of a size-distributed forest where individual trees compete for scarce resources such as space, light, and nutrients. The decision problem of the forest manager is formulated as a distributed optimal control problem. The interpretation of the first-order conditions allows a generalization of the Faustmann formula. In an empirical part, this article numerically determines the optimal management regime of a size-structured forest and shows that the optimal selective logging regime is associated with a normal forest under a wider variety of situations than stated in the previous literature.     

Distributions slanted to the right

We solve Problem 234 in Statistica Neerlandica by introducing the concept of slantedness. Distributions with a decreasing Lebesgue density are slanted to the right. This is no longer true for distributions on a lattice with decreasing density. Both kinds of distributions have positive central odd moments.     

SHORT-AND LONG-RUN FARM PLANNING UNDER UNCERTAINTY; INTEGRATION OF LINEAR PROGRAMMING AND DECISION TREE ANALYSIS

The paper presents an approach to an integrated long-run and short-run farm planning under uncertainty, based on a decomposition of the problem into (i) a series of short-run plans, and (ii) a master long-run plan. The series of the short-run plans are parametrically solved by linear programming "variable right hand" techniques and are later integrated into a long-run program using a (computerized) decision tree analysis. The attitude towards risk of the farm operator is expressed in the willingness to maximize the expected value of the income stream over the planning horizon subject to the restriction that alternatives which may lead to lack of liquidity must be eliminated.
Ce travail présenle une approche tentative ďintégrer, sous conditions incertaines, une planification de ferme à court et long terme. La planification est basée sur la partition du problème en (i) série de courte durée et (ii) de tongue durée. Les séries de courte durée sont résolues àľaide dun programme linéaire, et intégreés ensuite dans un programme à long terme àľaide de ľanalyse de "décision arbre."ľattitude envers les risques de ľentrepreneur est exprimée par la volonté-de maxiliser la valeur de revenu prévu au delá de la planification sous resérve de la restriction que des alternatives qui peuvent conduire à un manque de moyens liquides, doivent être éliminees.