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

A jeweler has bars of 18-carat gold , A jeweler has bars of 18-carat gold a...

A jeweler has bars of 18-carat gold and 12-carat gold. How much of every melted together to obtain a bar of 16-carat gold, weighing 120 gm ? It is given that pure gold is 24 carat.

Evalute right-hand limit, Evaluate following limits. Solution ...

Evaluate following limits. Solution Let's begin with the right-hand limit.  For this limit we have, x > 4  ⇒          4 - x 3   = 0      also, 4 - x → 0  as x → 4

Find the solution to initial value problem, Illustration:   Find the soluti...

Illustration:   Find the solution to the subsequent IVP. ty' + 2y = t 2 - t + 1,      y(1) = ½ Solution : Initially divide via the t to find the differential equation in

Venn diagram, in a class of 55 students, 35 take english, 40 take french, a...

in a class of 55 students, 35 take english, 40 take french, and 5 take other languages.present this information in a venn diagam and determine how many students take both languages

Discovery, i have discovered a formula for finding the radius at any point ...

i have discovered a formula for finding the radius at any point of the graph have i done a good job

Who made clothes for, on april 26, jonh dough wrote a check#374 to Miller P...

on april 26, jonh dough wrote a check#374 to Miller Pharmacy for $16.00 , is this a deposit or withdrawal

Estimate root of given equations, The positive value of k for which x 2 +K...

The positive value of k for which x 2 +Kx +64 = 0 & x 2 - 8x + k = 0 will have real roots . Ans: x 2 + K x + 64 = 0 ⇒  b 2 -4ac > 0 K 2 - 256 > 0 K

Inequalities and intervals, What inequalities and intervals are? If it is g...

What inequalities and intervals are? If it is given that a real number 'p' is not less than another real number 'q', we understand that either p should be equal to q or

Calculate latest triangular area sail for his boat, Rick is order a latest ...

Rick is order a latest triangular sail for his boat. He needs knowing the area of the sail. Which formula will he use? The area of a triangle is 1/2 times the length of the bas

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