Questions tagged [pareto-efficiency]
An efficiency standard based on the idea that the most efficient outcomes are those where no individual can be made better-off without making at least one other worse-off.
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questions with no upvoted or accepted answers
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Corner Solutions for Pareto Efficiency
I have been reviewing calculations to find walrasian equilibrium and pareto efficient allocations.
Assume we are in an environment with two consumers, $A$ and $B$, and two goods, $x$ and $y$. From ...
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Calculating price in a pure exchange economy
The problem is simple, I'm not really sure of my answer though.
Consider an economy where there are two consumers and two goods:
$$U_1(x_{11}, x_{21}) = x_{11}$$
$$U_2(x_{12}, x_{22}) = x_{22}$$ $...
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0answers
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An economy with no Pareto-efficient envy-free allocations
In a famous paper from 1974, Hal Varian proved (in Theorem 2.3) that:
In an economy with homogeneous divisible googs, if all agents have monotonic and convex preferences, then there exists an ...
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0answers
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Identify the Pareto welfare weights
I am asked to identify the Pareto welfare weights from the FOC of the following problem
$max_{{x_1}{x_2}} U_1(x_1)\ st\ u_2=U_2(x_2)\ and\ x_{1n}+x_{2n}=yn$
The Langrangian is: $L=U_1(x_1)+\lambda_1(...
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33 views
Pareto Set with strictly convex preferences
Suppose the agents A and B have the following utility functions $x_A y_A+12x_A+3y_A $ and $x_By_B +8x_B+9y_B$ respectively with endowments (8,30) and (10,10).
The contract curve's equation turns out ...
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0answers
116 views
Pareto Efficiency Outcomes in Games
I have started studying the Pareto efficiency notion in Game theory. The definition I am familiar with is this:
Strategy profile $\mathbf{s}$ Pareto dominates strategy $\mathbf{s}'$ if for all $i\in\...
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0answers
420 views
Exercise about social planner's optimal allocation of resources
a. There are 2 cities C1 and C2. Everyone in both the cities has same concave, increasing utility function. There's only 1 good, with the social planner. How should s/he allocate it?
b. Now assume ...
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Is there a term for economic policy design built from minimizing per-household adverse impact?
May be easiest to start with an example: let's say I'm looking to eliminate the mortgage interest deduction, but want to minimize the impact on households from doing so. I also want the change to be ...
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394 views
Pareto optimality with Lagrange
I understand that you find the interior solutions for the pareto efficient set with Lagrange (Maximizing the utility with the endowment constraints and holding the other player's utility fixed)
How do ...
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0answers
232 views
About Lindahl equilibrium and Pareto Optimality
Let an economy with 20 consumers, one private good $x_2$ and one public good $x_1$. The public good is produced using the private good as input with the following technology $x_1=g(z)=z^{1/2}$, where $...
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0answers
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Pareto efficiency and maximization of sum of utilities
I'm trying to understand the relation between maximizing sum of utilities and finding Pareto efficient allocations. According to https://econ.ucsb.edu/~tedb/Courses/UCSBpf/pflectures/chap2.pdf (page ...
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Pareto efficiency analysis of level of M1 growth from quantitative easing
BMO recently conducted an analysis on US monetary policy and noted that quantitative easing has had diminishing effects on M1 growth. Daniel Krieter wrote:
QE has fed through to the real economy in a ...
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0answers
21 views
Kaldor-Hicks optimum allocation with externality
Suppose there are two individuals. Level of good h can be determined only by individual 1 and it has a positive externality on individual 2. To find Pareto efficient allocation, we add the utilities ...
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22 views
A problem: allocation of apartments
Setup: Trine owns an apartment in Copenhagen. She is willing to rent
it out at any positive price. Peter and Simon
lives together and are both students. They will like to rent the apartment for less ...
0
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2answers
224 views
robinson economy with production
Facing a little bit of a problem with this questions, did a similar one BUT the utility function was not linear and got MRS dependent on goods (was not just a number) - here I am at a loss.
The ...
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0answers
32 views
If US capital income taxation were eliminated, which ordinary income tax brackets would be equally progressive?
This question only considers federal taxes in the United States. Also, by "capital income" I am including dividends, interest, capital gains, corporate incomes and estates.
The Chamley-Judd result ...
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65 views
Do I understand the second welfare theorem correctly?
As far as I understand, the second welfare theorem says that all Pareto-optimal allocations can be reached by market equilibrium on free competitive markets.
Yet it seems that this understanding is ...
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298 views
How does Joseph Stiglitz and Greenwald explain why markets with imperfect information fail to have a pareto efficient equilibrium?
How does Joseph Stiglitz and Greenwald explain why markets with imperfect information fail to have a pareto efficient equilibrium? What premises do they use to come to that conclusion?
For example, ...
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1answer
75 views
Computing the competitive equilibrium given initial allocation
Suppose that there are two agents, 1 and 2, and two goods, honey (h) and lemon (l), and that the agents' preferences over these goods are defined by the following utility functions:
$$u^1(x_h^1, x_l^...
