Decomposing the Cross Derivatives of a Multiattribute Utility Function into Risk Attitude and Value

2011 ◽  
Vol 8 (2) ◽  
pp. 103-116 ◽  
Author(s):  
Ali E. Abbas
Keyword(s):  
Utility Function ◽  
Risk Attitude ◽  
Multiattribute Utility ◽  
Cross Derivatives ◽  
The Cross ◽  
Derivatives Of

The Effect of Nonmonetary Factors on the Demand for Insurance and Self-Insurance

2019 ◽  
Vol 65 (1) ◽  
pp. 41-54
Author(s):  
Piotr Dudziński
Keyword(s):  
Utility Function ◽  
Third Order ◽  
Demand For Insurance ◽  
The World ◽  
Cross Derivatives ◽  
Order Degree ◽  
The Impact ◽  
Health Deterioration ◽  
Derivatives Of ◽  
Analogous Effect

The article considers the impact of nonmonetary factors (health) on insurance and self-insurance (against material damage) decisions. Using a two-argument utility function, we prove that the health deterioration leads to increased demand for insurance if the decision-maker is cross-prudent in health and if wealth and health are complements. Those conditions are equivalent to positivity of second and third order degree cross-derivatives of the utility function. Second part of the article considers analogous effect of health deterioration on self-insurance. In this case the result depends additionally on effectivity of self-insurance as a function of the state of the world.

CHOQUET INTEGRAL MODELS AND INDEPENDENCE CONCEPTS IN MULTIATTRIBUTE UTILITY THEORY

2000 ◽  
Vol 08 (04) ◽  
pp. 385-415 ◽  
Author(s):  
T. MUROFUSHI ◽  
M. SUGENO
Keyword(s):  
Utility Function ◽  
Utility Theory ◽  
Choquet Integral ◽  
Fuzzy Measure ◽  
Multiattribute Utility ◽  
Preference Relations ◽  
Multiattribute Utility Theory ◽  
A Value ◽  
Utility Independence

This paper discusses multiattribute preference relations compatible with a value/utility function represented by the Choquet integral with respect to a fuzzy measure, and shows that the additivity of the fuzzy measure is equivalent to each of mutual preferential independence, mutual weak difference independence, mutual difference independence, mutual utility independence, and additive independence.

scholarly journals Synthesis of epoxy resins derivatives of naphthalene-2,7-diol and their cross-linked products

2019 ◽  
Vol 138 (6) ◽  
pp. 4349-4358 ◽  
Author(s):  
K. Fila ◽  
M. Gargol ◽  
M. Goliszek ◽  
B. Podkościelna
Keyword(s):  
Fourier Transform ◽  
Epoxy Resins ◽  
Attenuated Total Reflectance ◽  
Cross Linking ◽  
Total Reflectance ◽  
Before And After ◽  
Ft Ir ◽  
The Cross ◽  
Derivatives Of ◽  
Epoxy Groups

Abstract The aim of this study was the synthesis of three different epoxy compounds based on naphthalene-2,7-diol (2,7-NAF.EP, 2,7-NAF.WEP, 2,7-NAF.P.EP) and then their cross-linking by triethylenetetramine (TETA). All epoxides were prepared by the reaction of naphthalene-2,7-diol with epichlorohydrin but under different conditions and with other catalysts. The structures of the obtained compounds before and after the cross-linking reactions were confirmed by the attenuated total reflectance Fourier transform infrared spectroscopy (ATR/FT-IR). The ATR/FT-IR spectra of cross-linked compounds show disappearance of the C–O–C bands (about 915 cm−1) derived from the epoxy groups. DSC and TG/DTG measurements indicated that the obtained materials possess good thermal resistance; they are stable up to about 250 °C. The hardness of the cross-linked products was determined using the Shore D method. The highest value of hardness was obtained for the 2,7-NAF.EP-POL. Additionally, the UV–Vis absorption spectra of the obtained polymers were registered and evaluated.

Testing the Effect of Risk Attitude on Auditor Judgments Using Multiattribute Utility Theory

1993 ◽  
Vol 8 (1) ◽  
pp. 91-110 ◽  
Author(s):  
Timothy A. Farmer
Keyword(s):  
Risk Aversion ◽  
Internal Control ◽  
Utility Theory ◽  
Risk Preference ◽  
Risk Attitude ◽  
Test Results ◽  
Multiattribute Utility ◽  
Multiattribute Utility Theory ◽  
Auditor Judgments ◽  
The Individual

The scaling constant of multiattribute utility functions derived for each of 15 practicing auditors was used to measure risk attitude for the subjects. The risk preference or risk aversion indicated by this metric allowed categorization of the auditors to test for an effect of risk attitude on audit judgments. The sample showed both risk aversion and risk preference among the auditors. The correlations among auditor evaluations of hypothetical internal control compliance test results were generally high and were different for audit seniors than for audit managers. Risk attitude was not found to explain the differences across rank nor the individual differences in consensus.

Utility Function Derived Off-Road Vehicle Path Planning

2020 ◽  
Author(s):  
Vijitashwa Pandey ◽  
Christopher Slon ◽  
Calahan Mollan ◽  
Dakota Barthlow ◽  
David Gorsich ◽  
...  
Keyword(s):  
Path Planning ◽  
Cost Function ◽  
Utility Function ◽  
Optimal Path ◽  
United States Geological Survey ◽  
Ground Vehicles ◽  
Multiattribute Utility ◽  
End Points ◽  
Vehicle Path ◽  
Physics Based Simulation

Abstract Optimal navigation of ground vehicles in an off-road setting is a challenging task. One must accurately model the properties of the terrain and reconcile it with vehicle capabilities, while simultaneously addressing mission requirements. An important part of navigation is path planning, the selection of the route a vehicle takes between the start and end points. It is often seen that, given the starting and end points for a vehicle, the optimal path that the vehicle should take varies considerably with the mission requirements. While most commonly used algorithms use a local cost function, mission requirements are typically defined over the entire run of the vehicle. Utility theoretic methods provide a normative tool to model tradeoffs over attributes (mission requirements) that the operator cares about. It is critical therefore, that preferences embedded in the utility function influence the local cost functions used. In this paper, we provide a framework for a feedback-based method to update the parameters of the local cost-function. We do so by using a geodesic-based method for path planning given the terrain inputs, followed by a physics-based simulation of a vehicle to evaluate the attributes. These attributes are then combined into a multiattribute utility function. An optimization-based approach is used to find the parameters of the cost function that maximizes this multiattribute utility. We present our approach on a vehicle navigation example over a terrain acquired from United States Geological Survey data.

scholarly journals Influence of Cross-Linking Degree on Hydrodynamic Behavior and Stimulus-Sensitivity of Derivatives of Branched Polyethyleneimine

Polymers ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 1085
Author(s):  
Alina Amirova ◽  
Tatyana Kirila ◽  
Mikhail Kurlykin ◽  
Andrey Tenkovtsev ◽  
Alexander Filippov
Keyword(s):  
Aqueous Solutions ◽  
Mole Fraction ◽  
Solution Temperature ◽  
Linear Polymers ◽  
Intermolecular Hydrogen Bonds ◽  
Critical Solution Temperature ◽  
Cross Linker ◽  
The Cross ◽  
Derivatives Of ◽  
Constant Characteristics

Cross-linked derivatives of acylated branched polyethyleneimine containing 2-isopropyl-2-oxazoline units were investigated in chloroform and aqueous solutions using methods of molecular hydrodynamics, static and dynamic light scattering, and turbidity. The studied samples differed by the cross-linker content. The solubility of the polyethyleneimines studied worsened with the increasing mole fraction of the cross-linker. Cross-linked polyethyleneimines were characterized by small dimensions in comparison with linear analogs; the increase in the cross-linker content leads to a growth of intramolecular density. At low temperatures, the aqueous solutions of investigated samples were molecularly dispersed, and the large aggregates were formed due to the dehydration of oxazoline units and the formation of intermolecular hydrogen bonds. For the cross-linked polyethyleneimines, the phase separation temperatures were lower than that for linear and star-shaped poly-2-isopropyl-2-oxazolines. The low critical solution temperature of the solutions of studied polymers decreased with the increasing cross-linker mole fraction. The time of establishment of the constant characteristics of the studied solutions after the jump-like change in temperature reaches 3000 s, which is at least two times longer than for linear polymers.

scholarly journals THE EFFECT OF CROSS-REACTING ANTIGENS ON THE TOLERANT STATE

1967 ◽  
Vol 125 (6) ◽  
pp. 1057-1073 ◽  
Author(s):  
B. Cinader ◽  
J. E. M. St. Rose ◽  
M. Yoshimura
Keyword(s):  
Human Albumin ◽  
The Cross ◽  
Derivatives Of ◽  
Tolerant State

Rabbits were rendered tolerant to human albumin (HA) and were then injected with azo and oxazolonated derivatives of human albumin. These injections were continued to a time at which all animals would have lost tolerance if they had not been injected. Injection of cross-reacting antigens prolonged the duration of tolerance, as judged by the mode of elimination of lightly iodinated human albumin (HA.131I). Different derivatives of HA differed in their capacity to prolong tolerance. Those neonatally injected rabbits which were immunized with cross-reacting antigens and lost tolerance, responded much more promptly to HA.131I than animals which were not immunized. Animals immunized with cross-reacting antigen which went on to eliminate HA.131I triphasically, usually had responded earlier by making antibodies. These antibodies contained a fraction which was reactive with HA, and which was usually equally well adapted to determinants on HA and on the cross-reacting antigen.

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