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

Geometry, find h in the parallelogram

find h in the parallelogram

Determine the laplace transform of the probability , 1. Let , where  ar...

1. Let , where  are independent identically distributed random variables according to an exponential distribution with parameter μ. N is a Binomially distribut

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

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

Area and perimeter, if perimeter is 300m length is 100m.find the breadth

if perimeter is 300m length is 100m.find the breadth

Diameter of the circle , The length of the diameter of the circle which tou...

The length of the diameter of the circle which touches the X axis at the point (1,0) and passes through the point (2,3) is ? Solution)  If a circle touches the x-axis, its equatio

Formulas of surface area - applications of integrals, Formulas of Surface A...

Formulas of Surface Area - Applications of integrals S = ∫ 2Πyds          rotation about x-axis S = ∫ 2Πxds          rotation about y-axis Where, ds = √ 1 + (1+ (dy /

Estimate the probability, The following (artificial) data record the length...

The following (artificial) data record the length of stay (in days) spent on a psychiatric ward for 28 consecutive patients who have been sectioned under the mental health act, cla

Tutor, How to be an expert at expertsmind

How to be an expert at expertsmind

Write down those features of such interactions, After seeing some children ...

After seeing some children interacting naturally, write down those features of such interactions that make peer learning potentially a better way of learning. Another point that

Algebra, solve x+y= 7 and x-y =21

solve x+y= 7 and x-y =21

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