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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8
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2answers
974 views

What is the true source of dynamic(Pareto) inefficiency in OLG models?

This question confuses me for some time. My first impression is that Pareto sub-optimality is due to feature that old generations will consume everything without any incentive to trade. But after ...
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3answers
2k views

Quasilinear Utility: Pareto Optimality Implies Total Utility Maximization?

I read that if we have quasilinear utility for all consumers, then any pareto optimal allocation maximizes the sum of utility levels of all consumers. That is: $\textbf{What we know:}$ $$1)\quad u^i(...
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4answers
480 views

Fair and efficient allocation of “family goods”

Consider an exchange economy with two goods, e.g. home furniture (x) and electrical equipment (y). The interesting thing about these goods is that, when a family owns a bundle, all members of the ...
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2answers
333 views

Lee and Saez (2012): Pareto-Improvement?

I'm interested in the following quote that came up in this earlier answer. Second, when labor supply responses are along the extensive margin only, which is the empirically relevant case, the co-...
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2answers
111 views

Does every allocation have a maximal Pareto-improvement?

Consider an economy with a finite number of goods and a finite quantity of each good. Each agent $i$ has a preference-relation $\succeq_i$ which is a total, reflexive and transitive relation over the ...
6
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2answers
15k views

Perfect complement preferences in an exchange economy

So I have an exam in a bit, I understand that to find the optimal choice you have to equate tangent of the two indifference curves. However, if the other indifference curve is a perfect complement, ...
6
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2answers
3k views

Pareto optimality with externalities

I'm reading the book "Economics of natural ressources and the environment" written by D. Pearce and R. Turner. They explain that the competitive equilibrium is not a Pareto optimum in case of (...
6
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2answers
740 views

Does a General Equilibrium here require Pareto Optimality?

There are two consumers $A$ and $B$, and two producers $X$ and $Y$. he consumers are endowed with labour(L) and capital(K) $L_A,K_A$, and $L_B,K_B$ respectively. The preferences of the two consumers ...
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3answers
646 views

Is the Convex Combination of Two Pareto Optimal Allocations Also Pareto Optimal?

I am studying for my qualifiers, and I ran into this question from a previous year's exam. $\textbf{Question:}$ Consider a two-consumer two-good pure exchange economy. Both preferences are locally ...
5
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1answer
443 views

Converting word definitions of Pareto-Optimal into math symbols

I'd like to have a mathematical version of the following two definitions just because I remember symbols better than words. But I lack the math prowess to convert them from words to symbols. Can ...
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3answers
604 views

What's the opposite of a Pareto improvement called?

Wikipedia defines a Pareto Improvement, "given a certain initial allocation of goods among a set of individuals" as: a change to a different allocation that makes at least one individual or ...
4
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1answer
50 views

Adverse Selection: Positive Selection of Worker Types (Mas-Collel)

I'm reviewing some question from Mas-Collel and I am stuck on a chapter 13 question related to adverse selection. Consider a model of positive selection in which there are workers of two possible ...
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2answers
4k views

Definition of Pareto efficiency and prisoner's dilemma

Pareto efficiency is defined in Wikipedia as: Pareto efficiency or Pareto optimality is a state of allocation of resources from which it is impossible to reallocate so as to make any one ...
4
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1answer
7k views

How to find corner Pareto efficient allocations

I have some troubles in understanding how to find Pareto efficient allocation that are on the frontier of the Edgeworth box. I mean, the interior ones, can be found using the equality $MRS_A = MRS_B$, ...
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1answer
1k views

Sen's Liberal Paradox

Economist and philosopher Amartya Sen posited that no social system could guarantee: A minimal sense of freedom in social choice Pareto efficiency His original article can be found here. In his ...
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1answer
115 views

Contract curve and Pareto frontier

Consider an exchange economy with two agents. Each agent $i \in \{1,2\}$ derives utility $u^i(x_1,x_2) \in \mathbb R$ by consuming $(x_1,x_2) \in \mathbb R_+^2$. Let $u_j^i(x_1,x_2) = \partial u^i(...
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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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2answers
188 views

How can an outcome be Pareto efficient but not Kaldor-Hicks efficient?

An policy is a Pareto improvement if it makes some people better off and no one worse off. And a policy is a Kaldor-Hicks improvement if it can be turned into a Pareto improvement by redistributing ...
3
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2answers
916 views

How to calculate Pareto Optimal outcome in a game with a Nash Equilibrium

I have at hand a two period game. In period 1, Union decides wage offer $w$. In period 2, firm decides on L, given wage. Union maximizes $wL$ Firm maximizes $=(L(100-L) - wL) \quad if \quad L&...
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1answer
1k views

Why do externalities lead to a Pareto-inefficient outcome?

So we know that under a Pareto-inefficient outcome, there is room for Pareto improvement, i.e. making someone better off without hurting anyone. Assume that there is a drug company which is in ...
3
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1answer
56 views

Efficiency in a market that is both a monopoly and a monopsony

We know that market power in general leads inefficient outcomes (in terms of Pareto efficiency). This makes instinctive appeal as, for example, a powerful seller who has a lot of market power can ...
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1answer
53 views

Identical aggregation

Assume the following: all firms are identical, i.e. at each time period $t$, $\forall i$, $j: F_{t}^j = F_{t}^i = F_t$ and the technology is CRS. All consumers have the same endowment of capital $\...
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1answer
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Pareto efficiency of organ markets

Organ sale is legal in Iran. I was wondering: are organ markets Pareto efficient? Or could an argument be made for them being Pareto efficient? I have been thinking that both the buyer and the seller ...
3
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1answer
244 views

Blocking Coalitions

For $n$ individuals, can a blocking coalition only be formed by at least $n/2$ individuals? For example, if there are 6 individuals, can less than 3 individuals form blocking coalitions?
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1answer
161 views

Have there been any attempts to turn free-trade agreements into Pareto improvements?

The textbook economic case for free trade agreements is that they constitute a Kaldor-Hicks improvement, which that in any given country the winners win more than the losers lose, when the benefits ...
3
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1answer
575 views

Writing the core as the intersection of pareto efficient outcomes of all coalitions

I have been reviewing general equilibrium models and was trying to find an efficient method for computing the core of a cooperative game. I was taught this topic in a very poor way so I believe I ...
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2answers
648 views

Pareto optimality and Externalities

Let's consider 5 farmers, each of them has 2 cows to put into the field. So every farmers can put 0,1 or 2 cows. I denote the three stategies by $q_i$, i=0,1,2. Now, the payoffs ( i.e. the amout of ...
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3answers
92 views

Does Pareto-efficency take into account growth?

I'll try to state my question clearly:   For a given a "wealth" allocation Wt = (w1, w2, w3, ... ) for individuals I = (i1, i2, i3, ... ). And a distribution of D= (w1/|W|, w2/|W|, w3/|W|, ... ...
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Theoretical models of copyright infringement and efficiency implications

I wanted to know if there are theoretical models of copyright infringement and what are their implications for efficiency in the market and also, if possible, any empirical support they have. When I ...
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0answers
360 views

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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1answer
40 views

How did Pareto came up with Pareto Distribution of wealth law?

I am not an economist but a mathematics student. I heard about the Pareto law - the mathematical modelling of the distribution of wealth, how did Pareto come up with this law? technically speaking ...
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1answer
2k views

Are there any real world examples of potential Pareto improvements?

Professor George Fallis in his book "Housing Economics" writes when discussing the notion of a Pareto improvement (Page 123) In the real world, almost all policies recommended by economists ...
2
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1answer
529 views

Bertrand-equilibrium with discrete price set

Consider a market for a homogenous product with three producers, firms A, B and C. The firms have constant marginal costs which are equal to $c = 20$ for each firm. Consumers always buy from the firrm ...
2
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1answer
334 views

Finding Pareto Optimality

Consider an exchange economy with two individuals and 2 commodities. The endowments of the commodities are 1 each. Which one of the following are Pareto Optimum. a. {$\frac{1}{2},\frac{1}{2},(\frac{1}...
2
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1answer
58 views

Uncertainty and Pareto efficient policies

There are two economic agents $i\in \{1,2\}$ with state dependent utility $u_{is}=-(x-b_{is})^2$ where $x\in R$ and $b_{is}\in R$ is bliss point of $i$ in state $s\in\{1,2\}$. Assume $b_{1s}\lt b_{2s}$...
2
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1answer
73 views

Counter example for strong and weak Pareto optimality

We know that strong Pareto efficient is equivalent to weak Pareto efficient if we have continuous and strongly monotone preferences. Please give me an example which we don’t have continuous and ...
2
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1answer
628 views

Difference between Nash equilibrium and Pareto Efficiency

Nash Equilibrium is defined as a solution concept referring to a best outcome which players won't want to unilaterally deviate given the response of other players doesn't change. To me it seems like ...
2
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2answers
276 views

Inclusion of firms on the efficient frontier of a Production Possibility Set

I'm working through Cooper's Data Envelopment Analysis, and they are going over Production Possibility Sets. They present 9 firms, each with two inputs and one output: Graphically it easy to see why ...
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1answer
1k views

equilibrium, optimum, and decentralizing the optimum

I'm reading a paper on parking: Anderson & de Palma, 2003, The economics of pricing parking. The authors repeatedly refer to either 'decentralizing the optimum' or 'the optimum can be ...
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1answer
144 views

Pareto Improvement with Monopolies

This may be one of the more 'elementary' questions on this site.. But I really can't wrap my head around it and a search on the web hasn't yielded much. Given that Pareto efficiency is defined as when ...
2
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1answer
125 views

What is the difference between a power law exponent and the Pareto exponent?

I use the poweRlaw package in R to fit a power law to my data. I am trying to figure out what is the value of the Pareto exponent. Assume the probability mass function is defined by: $$ p(x) = \...
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1answer
165 views

Understanding Pareto Optimal

I am looking at an exchange economy where I have two types of goods and n consumers. Half of the consumers have a utility function given by $U(x)= 5\ln{x} +m $ and the other half of the consumers have ...
2
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1answer
2k views

Market equilibrium and pareto efficiency

How can I prove that the equilibrum point $D(p)=S(p)$ is pareto efficient? The definition of pareto efficient: there is no way to make any person better off without hurting anybody else $D(p)$ is ...
2
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1answer
243 views

Productive Allocative Efficiency (Competitive Equilibrium)

I am doing an Intermediate Microeconomics class... in a 2*2*2*2 economy, I know that MRS (marginal rate of substitution) is supposed to be equal to MRTS (marginal rate of technical substitution) in ...
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1answer
73 views

Is a lack of any barriers to entry a necessary condition for ensuring pareto optimality is reached?

I understand that a competitive market is necessary for a market to equilibriate to a pareto optimal state, and that things like economies of scale, network effects, government restrictions, and ...
2
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1answer
597 views

Under what conditions does market failure occur?

Edit: Is it possible to broadly categorize the ways in which market failures occur into relatively few categories? If so, what are they?
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0answers
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Pareto allocations and Competitive equilibrium

Consider the one-consumer one-firm economy. The consumer has preferences over leisure $l\in(0,L)$ and consumption good $x ≥ 0$ represented by utility function $u(x, l) = ax + l$, where $a > 0$ is a ...
2
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1answer
286 views

Constraints on a symmetric pareto allocation under uncertainty

I've been trying to figure out how the author came up with the constraints for this liquidity model in a textbook I'm reading. details: http://imgur.com/TpVjg4w $U = \pi_1u(C_1) + \pi_2u(C_2)$ where ...
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0answers
748 views

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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1answer
226 views

Can the theory of the second best mathematically justify labor unions in some scenarios?

An EPI page says: Some economists and policymakers might express unease at the view that the downsides of one deviation from “competitive” markets (either labor market frictions or market ...