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

Compute the center of mass of the solid, 1) Compute the center of mass of t...

1) Compute the center of mass of the solid of unit density 1 bounded (in spherical coordinates) by p=1 and by φ is greater than or equal 0 and less than or equal pi/4

Estimate the last month sales increased through only 1/2%, Sales increased ...

Sales increased through only 1/2% last month. If the sales from the previous month were $152,850, what were last month's sales? Multiply through the decimal equivalent of 1/2 %

Which state sold corsica to france in 1768, By which of those ancient civil...

By which of those ancient civilizations was Machu Pichu built? The Aztecs The Egyptians The Mayas The Incas Which state sold Corsica to France in 1768? - Not answered Genoa Veni

Determining and classifying all the critical points, how do you determine ...

how do you determine and classify all the critical points of a function

Canada australia eire spain, Before independence, Bangladesh was called Cey...

Before independence, Bangladesh was called Ceylon East Pakistan Bhutan Bangalore Which of the following countries does not have a monarch as head of state? Canada Australia Eire

Probability distribution for continuous random variables, Probability Distr...

Probability Distribution for Continuous Random Variables In a continuous distribution, the variable can take any value within a specified range, e.g. 2.21 or 1.64 compared to

What is the average of his four quiz grades, Andy earned the subsequent gra...

Andy earned the subsequent grades on his four math quizzes: 97, 78, 84, and 86. What is the average of his four quiz grades? To ?nd out the average, you must add the items (97

Coefficient of correlation denoted, Coefficient of Correlation Denoted ...

Coefficient of Correlation Denoted There are two methods which measure the degree of correlation among two variables these are denoted by R and r. (a) Coefficient of correl

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