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

Define the implications of dependency problem, Define the implications of d...

Define the implications of dependency problem. Implications of dependency problem: To escape exploitation, underdeveloped countries should gain political, economic and so

Why are markets considered as unsuitable for promoting, Why are markets con...

Why are markets considered as unsuitable for promoting development? The process of establishing a market system frequently includes radical reform which produces both winners

Socio economic shortcoming, Discuss  (1) the key characteristics of the ...

Discuss  (1) the key characteristics of the Chinese economy during the Mao era, (2) the socio-economic shortcomings  that China experienced between 1949 and 1976 and (3) t

Needs and wants, Nathan is a successful public relations (PR) consultant, t...

Nathan is a successful public relations (PR) consultant, thanks to an outgoing personality and sharp intelligence. At 35, he is near the height of his earnings potential, at around

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

How is harrod-domar model used in planning, How is Harrod-Domar model used ...

How is Harrod-Domar model used in planning? The Harrod-Domar model is helpful to government for setting target rates for saving required to deliver a specified rate of economi

Forecasting, who is the proponent of theory of economic rhythm?

who is the proponent of theory of economic rhythm?

How can trade agreements assist development, How can trade agreements assis...

How can trade agreements assist development? A trade agreement is while two or more countries to by decrease or abolish tariffs, non-trade and quotas barriers which are establ

Pricing strategy, You own a small retail business that produces a product t...

You own a small retail business that produces a product that is slightly different from that of your many competitors. Your firm is currently making an economic profit. The absolut

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