Mathematical methods of economic analysis, Mathematics

Assignment Help:
I need answers for these 10 exam questions:
1.Input-output (Leontief) model: main assumptions and construction. Definition of productivity. Necessary condition of productivity of input-output model (proof). Inverse matrix (E-A)-1 in input-output model. How it is calculated by infinite series of Ak and what does it mean? Profitability of a model and what is the meaning of rows and columns of matrix (E-A)-1?
2.Solution of difference equations of the second order. Homogenous and non-homogenous case (proof of relevant formula).
3.Samuelson’s model of economic growth. Corresponding difference equation. Analysis of the model. Proof of convergence. Diagram for different pairs of a (accelerator) and ? (propensity to consume).
4.R.Solow growth model in discrete time. Corresponding difference equation. Existence of steady state. Convergence to steady state.
5.Problem of optimization. Classic approach. Necessary and sufficient conditions of minimum (maximum) in one – dimensional, n – dimensional constrained and non-constrained optimization cases. Application of the bordered Hessian.
6.Diamond-Samuelson overlapping generations model. Formulation, analysis and steady state.
7.Non-classic problem of optimization (problem of mathematical programming). Local and global minima. Convex set. Convex and concave function: definition and necessary and sufficient conditions of convexity. Necessary and sufficient condition of optimal solution of convex optimization problem. Cases when a set of feasible solutions is Rn , Rn+
8.Non-classic problem of optimization. Necessary and sufficient condition of optimal solution of convex optimization problem when a set of feasible solutions is defined by constraints g(x)=b. Lagrangian function, saddle point as sufficient condition of optimal solution (proof). Kuhn-Tucker theorem. Interpretation of dual variables.
9.Optimal control theory: the main problem in discrete time . R. Bellman’s principle of optimality. Recursive function.
10.McCall’s intertemporal job search model. Reservation wage.
Is it possible and how much does it cost?

Related Discussions:- Mathematical methods of economic analysis

Conditional statement, if two lines in s plane never intersect then they ar...

if two lines in s plane never intersect then they are parallel

Coefficient of determination, Coefficient of Determination It refers t...

Coefficient of Determination It refers to the ratio of the explained variation to the total variation and is utilized to measure the strength of the linear relationship. The s

Standard basis vectors - calculus, Standard Basis Vectors The vector th...

Standard Basis Vectors The vector that is, i = (1, 0,0) is called a standard basis vector.  In three dimensional (3D) space there are three standard basis vectors, i → = (1

Precalculus, Find the standard form of the equation of the parabola with a ...

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7).

Piecewise, x=±4, if -2 = y =0 x=±2, if -2 = y = 0

x=±4, if -2 = y =0 x=±2, if -2 = y = 0

Distinct eigenvalues –system solving, DISTINCT EIGENVALUES -SYSTEM SOLVING ...

DISTINCT EIGENVALUES -SYSTEM SOLVING : E xample Solve the following IVP. Solution : Therefore, the first thing that we must to do that is, get the eigenvalues

Application of statistics-human resource management, Human resource managem...

Human resource management Statistics may be utilized in efficient employ of human resources for example we may provide questionnaires to workers to find out where the manageme

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd