Find the efficient allocation of consumption, Business Economics

Assignment Help:

There are two agents, A and B. Both have preferences represented by a von Neumann-Morgenstern utility function u(csj) = ln (csj), where csj is consumption of agent j in state s. Agents have risky endowments ωsj and zs = ωsA + ωsB is the aggregate amount of resources in state s. Suppose there are two possible states, 1 and 2, with probabilities Π1 and Π2.

a) Write down the problem that determines the efficient allocations of consumption in this economy (indicate with λA and λB the Pareto weights of the agents).

789_Find the efficient allocation of consumption.png

b) Find the efficient allocation of consumption when the Pareto weight of B is twice the weight of A.

c) Represent it in an Edgeworth box. What is the marginal rate of substitution (the slope of agents' indifference curves) at the optimum?

d) Why should agent A's consumption be lower than B's even when her income is higher than B's?

e) Suppose that prior to the realization of the uncertainty, agents can trade (buy or sell) two types of securities: asset 1 that promises a payment of 1 unit of resources if state 1 is realized (0 in state 2); asset 2 that promises a payment of 1 unit of resources if state 2 is realized (0 in state 1). Suppose further that the price of asset 1 is 2/3, the price of asset 2 is 1; agents decide how much to buy or sell of each asset taking their prices as given (think of there being many agents like A and B, no one has market power, so we have perfectly competitive markets). Look at the Edgeworth box. How much of each asset do you think agent A would buy or sell? What will agent B want to do? Would they manage to implement an efficient risk sharing?


Related Discussions:- Find the efficient allocation of consumption

What is meant by the term managing expectations, What is meant by the term ...

What is meant by the term managing expectations? Why is expectation management a significant part of the project manager’s job? What affects a customer’s expectations? We all h

Critically analyse the drivers of globalisation, Problem 1: (a) Disting...

Problem 1: (a) Distinguish between the two broad aspects of globalization. (b) Critically analyse the drivers of globalisation. (c) Discuss, with examples, on the advanta

How micro or microfinance credit assists in financial market, How is Micro ...

How is Micro or Microfinance credit assists in financial markets? Micro or Microfinance credit assists: • Grow businesses and raise the income of the poor • Extra income

What is meant by the factor endowment theory, Question 1: a) Explain, ...

Question 1: a) Explain, with the use of examples, what is meant by the ‘Factor Endowment Theory'. b) According to you, can the ‘Factor Endowment Theory' be a reasonable e

Research Methods, A .Develop a researchable topic and prepare a research pr...

A .Develop a researchable topic and prepare a research proposal using the layout outlined below. CAVENDISH UNIVERSITY DISSERTATION PROPOSAL LAYOUT TITLE PAGE CHAPTER ONE: INTRODU

Determine the monopoly price and monopoly quantity, 1. A monopolist faces t...

1. A monopolist faces the industry demand Q=400-0.5 p and has constant marginal costs of 8, with no fixed costs. a) What is the monopoly price? What is the monopoly quantity?

Hard and Soft HR, my fgeind lewis wants ro know about hard and soft hr and ...

my fgeind lewis wants ro know about hard and soft hr and whats good and whats bad about it so cabn u answer pelase

Illustration of development process affected on culture, Illustrate some ex...

Illustrate some example of the development process affected on culture. Examples of the development process affected on culture: • Foreign Direct investment (FDI) and IMF st

A transition economy, A  transition economy is Moving from a planned t...

A  transition economy is Moving from a planned to a mixed or free market economy.

Macroeconomics, you are appointed secretary of the treasury of recently ind...

you are appointed secretary of the treasury of recently indepent country called rugaria

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