As the field of economics becomes ever more specialized and complicated, so does the mathematics required of economists. With Mathematics for Economists , expert mathematician Viatcheslav V. Vinogradov offers a straightforward, practical textbook for students in economics—for whom mathematics is not a scientific or philosophical subject but a practical necessity. Focusing on the most important fields of economics, the book teaches apprentice economists to apply mathematical algorithms and methods to economic analysis, while abundant exercises and problem sets allow them to test what they’ve learned.

Mathematics for Economists

EMPLOYMENT EXPERIENCE Department of Economics, University of California, Riverside (2000-2005) • Instructor Intermediate Microeconomics II • Teaching Assistant for Graduate Course (Ph.D.) Econometric Methods II • Teaching Assistant for Unde-graduate Course Introduction to Macroeconomics Intermediate Microeconomics Introduction to Microeconomics Intermediate Macroeconomics Intermediate Econometrics Statistics for Economics

Intermediate Microeconomics I

In recent years, the quest for more comprehensiveness, structure and transparency in reimbursement decision-making in healthcare has prompted the research into alternative decision-making frameworks. In this environment, multi-criteria decision analysis (MCDA) is arising as a valuable tool to support healthcare decision-making. In this paper, we present the main MCDA decision support methods (elementary methods, value-based measurement models, goal programming models and outranking models) using a case study approach. For each family of methods, an example of how an MCDA model would operate in a real decision-making context is presented from a critical perspective, highlighting the parameters setting, the selection of the appropriate evaluation model as well as the role of sensitivity and robustness analyses. This study aims to provide a step-by-step guide on how to use MCDA methods for reimbursement decision-making in healthcare.

How to use multi-criteria decision analysis methods for reimbursement decision-making in healthcare: a step-by-step guide

Principles of Microeconomics -5/E.

A geometric perspective on the generalized Cobb–Douglas production functions

Many papers treat the classical problem of the determination function’s extreme points subject to equality type restrictions. The well-known method of Lagrange’s multipliers gives necessary conditions but not sufficient. In this paper, it is shown that in additional hypotesys (like the linearity) the nature of a stationary point remains the same for the restricted function and for the initial one.

The Extreme of a Function Subject to Restraint Conditions

This paper is a new onset about production functions. Because all papers on this subject use the projections of production functions on a plan, the analysis becomes heavy and less general in conclusions, and for this reason we made a treatment from the point of view of differential geometry in space. On the other hand, we generalise the Cobb-Douglas, CES and Sato production functions to a unique form and we made the analysis on this. The conclusions of the paper allude to the principal directions of the surface (represented by the graph of the production function) i.e. the directions in which the function varies the best. Also the concept of the total curvature of a surface is applied here and we obtain that it is null in every point, that is all points are parabolic. We compute also the surface element which is useful to finding all production (by means the integral) when both labour and capital are variable.

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Applications of the space differental geometry at the study of production functions

In this article we shall give a generalization of Cobb–Douglas, Constant Elasticity of Substitution (CES), Lu–Fletcher, Liu–Hildebrand, Variable Elasticity of Substitution (VES) and Kadiyala production functions. We compute the principal indicators such as the marginal products, the marginal rate of substitution, the elasticities of factors and the elasticity of substitution. Finally, we formulate three theorems of characterization for the functions with a proportional marginal rate of substitution, with constant elasticity of labour and for those with constant elasticity of substitution (for n = 1).

A generalization of a class of production functions

In the game theory, there are a classic series of four criteria: Wald, Hurwicz, Savage, Laplace with a special importance in the choice of optimal decision in the situations of uncertainty. These criteria providing reasonable answers from different points of view. The question is to discern between different choices when the criteria do not provide a unique answer. In this paper, we present a possible way to reduce the final number of variants.

A A method of choice of the best alternative in the multiple solutions case in the Games Theory

In this paper we will study from an axiomatic point of view the production functions. Also we will define the main indicators of a production function, extending the classical definitions to n inputs and introducing other new. We will modify the notion of global average productivity and replace it with more realistic indicators. On the other hand, the notion of global rate of substitution will be introduced to the analysis of n goods.

Catalin Angelo Ioan

Papers

The Extreme of a Function Subject to Restraint Conditions

Applications of the space differental geometry at the study of production functions

A generalization of a class of production functions

A A method of choice of the best alternative in the multiple solutions case in the Games Theory

On the General Theory of Production Functions