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

Simultaneous equations, i need a step by step guide to answering simultaneo...

i need a step by step guide to answering simultaneous equation for gcses

Determine the mean of the subsequent numbers, Determine the mean of the sub...

Determine the mean of the subsequent numbers: Example: Determine the mean of the subsequent numbers: 5, 7, 1, 3, 4 Solution: where x'          =

Determine y' for xy = 1 by implicit differentiation, Determine y′ for xy = ...

Determine y′ for xy = 1 . Solution : There are in fact two solution methods for this problem. Solution 1: It is the simple way of doing the problem.  Just solve for y to

Invariant lines, What lines are invariant under the transformation [(103)(0...

What lines are invariant under the transformation [(103)(01-4)(001)]? I do not know where to even begin to solve this. Please help!!

Standardizing normal variables, Standardizing Normal Variables Suppose ...

Standardizing Normal Variables Suppose we have a normal population. We can represent it by a normal variable X. Further, we can convert any value of X into a corresponding valu

Shares and divident, A man invest ?13500 partly in shares paying 6% at ?140...

A man invest ?13500 partly in shares paying 6% at ?140 and partly in 5% at 125.If he is tolal income is 560, how much has he invested in each?

Formular for x and y, I have a simple right angle triangle. All I am given...

I have a simple right angle triangle. All I am given is h (the hypotenuse) and that ratio of x:y is 2:3. What is the formula to find x and y in terms of h?

Draw a common graph f ( x ) = |x|, Graph f ( x ) = |x| Solution The...

Graph f ( x ) = |x| Solution There actually isn't much to in this problem outside of reminding ourselves of what absolute value is. Remember again that the absolute value f

Simplification, if a+1/b=b+1/c=c+1/a then the value of abc is

if a+1/b=b+1/c=c+1/a then the value of abc is

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