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Questions tagged [pure-exchange-economy]

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7 votes
2 answers
2k views

Pure exchange economy: Given an initial endowment are multiple equilibria possible?

Consider a pure exchange economy with two goods ($x_1,x_2$) and two consumers $A,B$. Both users have an initial endowment, $(\omega_1^A,\omega_2^A)$ and $(\omega_1^B,\omega_2^B)$ respectively. A price ...
Giskard's user avatar
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8 votes
1 answer
368 views

Pure exchange economy: Set of multiple equilibria endowments

Initial endowments which can result in multiple equilibria in a pure exchange economy are explained here. Given a pure exchange economy, that is given the utility functions (which fulfil the usual ...
Giskard's user avatar
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5 votes
1 answer
1k views

How to find the contract curve when both agents have linear utilities?

I'm trying to solve the following excercise: Find the contract curve for an exchange economy where agents' ($A$ and $B$) preferences and endowments are given by: $u_A = x_A + y_A$ $u_B = s x_A + y_A$ $...
Nicolas Torres's user avatar
2 votes
2 answers
263 views

Finding Walrasian equilibria when Walrasian demands are not unique

I'm trying to solve the following excercise: Find the Walrasian equilibria for a pure exchange economy where agents' ($A$ and $B$) preferences and endowments are given by: $u_A = x_A + y_A$ $u_B = 2 ...
Nicolas Torres's user avatar
2 votes
2 answers
404 views

Exchange economy with two agents, what's the competitive equilibrium?

I'm currently doing this assignment but I'm keep getting stuck by this question. I put the Lagrange function for both agents and get the MRS / Price ratio but what should I do from there?
carlos21's user avatar
1 vote
1 answer
101 views

Net and gross market clearing in endowment economy

My question relates to an endowment economy. We assume perfect competition and markets clear, i.e. supply = demand. The way my professor defined it, he said endowment (per good) = supply (per good) = ...
Nick's user avatar
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1 vote
1 answer
320 views

Find Pareto optimal allocations and the core for the following economies

Find Pareto optimal allocations and the core for the following economies. There are two consumers and two goods. Utility functions are $u_1(x_1,y_1)= 10x_1-(y_1-2)^2$ and $u_2(x_2,y_2) = 10y_2 − (x_2 −...
studentp's user avatar
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