Questions tagged [microeconomics]

Microeconomics is a branch of economics that studies the market behavior of individual actors (usually firms and consumers) and the aggregation of their actions in different institutional frameworks (usually the market).

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61 views

Signalling Model (How to solve a differential equation?)

I'm currently reading "SAVING RATES AND POVERTY: THE ROLE OF CONSPICUOUS CONSUMPTION AND HUMAN CAPITAL" by Omer Moav and Zvika Neeman, and I encounter some problem deriving one of the equations. ...
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20 views

Effect of a change in quality on price elasticity of demand

I am interested to know how one would expect a change in the quality of a product to affect its price elasticity of demand. Two example will illustrate my confusion: Example 1 Suppose a producer is ...
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Transforming an indirect utility function into an expenditure function

in preparation for our upcoming exam, our tutor has uploaded sample questions. One of them is the following: This is my solution: Which differs from the solution, which gives the ordinary square ...
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1answer
84 views

What are some applications of Real Analysis in Graduate Economics?

I am interested as to what areas of masters/PhD coursework that learning the fundamentals of Real Analysis would be beneficial for? I am aware of its applications in Econometrics proofs and analysis, ...
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33 views

Change in the marginal utility of leisure with respect to a change in consumption

I am reading a paper that derives a theoretical retirement model. There is a utility function and a budget constraint forming an optimal control problem. The solution to this problem states that \...
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1answer
47 views

Value Function For Durable-Good Monopolist with General Distribution

It is known that with a unit mass of consumers, each of whom has a value distributed between 0 and 1, one can think of the monopolist solving \begin{equation} \max_{p} \ p[1-F(p)] \end{equation} when ...
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What factor to use with Salvage Value in rate of return questions?

I am trying to solve a rate of return question from the book Engineering Economics by R. Paneerselvam. In that particular problem I am given a salvage value along with other factors. following are the ...
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33 views

Why is elasticity not constant on a straight line graph?

There are different zones of elasticity on a graph, but if we are to imagine a negatively sloped, straight line on a price v quantity graph, we find that elasticity differs based on where we look on ...
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36 views

is there a difference between E[e|x]=0 and E[e|d=1]-E[e|d=0] in continuous vs discrete case in regressions?

in the discrete case, if assignemt is random, then i can express E[y|d=1]-E[y|d=0] = B + E[e|d=1]-E[e|d=0], where the expectation of the errors are the same for both groups and become zero. Where I am ...
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1answer
34 views

Proof: Risk averse; Certainty Equivalent smaller than expected value

I would like to show for a randomly distributed variable $x$ with CDF $F(\cdot)$ , given a Bernoulli utility function $u(x)$ the following property holds: The certainty equivalent, $CE(\cdot)$, is ...
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1answer
51 views

Conditions for Radner Equilibrium

This is definition of Radner Equilibrium from Microeconomic Theory (Mas-Collel, Whinston and Green - Third Edition). I'm confused about two conditions: $\sum_k q_k \cdot z_{ki} \le 0$ (in yellow) ...
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34 views

Perfect Substitution with a Continuum of goods?

Imagine I have a continuum of different goods indexed by $\omega \in [0,1]$. I have a household which consumes a quantity $C(\omega)$ of good $\omega$, and pays a price $P(\omega)$. The household has ...
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1answer
62 views

Is there a proof for composite commodity theorem?

I have been reading Economics and Consumer Behavior by Angus Deaton and John Muellbauer, specifically reading up on Composite Commodity Theorem, which states: if prices move in parallel to each ...
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How do Pension Fund capital flows operate?

I'm trying to figure out a method for calculating the impact to markets of outflows from pension plans. More specifically, if we imagine a theoretical huge and underfunded pension plan that is ...
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1answer
63 views

Why are Hicksian demand curves unobservable

I have read this paragraph in a book (Jehle, Reny: Advanced Microeconomic Theory): I don't quite understand why Hicksian demand curves aren't directly observable? What does observable stand for in ...
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23 views

Free Disposal: the production set less the vector space of positive reals

In Microeconomic Theory (3rd Edition), Mas-Collel, Whinston and Green state that the property of free disposal implies the following: $Y - \mathbb{R}^L_+ \subset Y $ Y: Production set y: Production ...
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1answer
38 views

Asymmetric (in sign) cross-price derivatives in consumer-theory problem

I'm puzzled why, in the following optimal-choice problem, good $x$ depends on price $p_y$ but the opposite is not true. Should not the sign of $\frac{\partial x}{\partial p_y}$ be the same of $\frac{\...
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40 views

Industrial Economics

I am currently struggling trying to find the short-run equilibrium price, output per firm, and profit per firm if $190$ firms supply the market. I am given $p=102-1/2Q$ and $C(q)=5q-6q^2+3q^3$. ...
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1answer
48 views

What are the economics of bike sharing companies?

Bike sharing seems to have originated in China. And it has spread to the UK. And at least a decade on it continues to spread into the provinces. So it has longevity. So what are the economics of ...
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125 views

Preference: Convexity and Monotonicity

I need an example of a Convex, non-monotonic preference Non-convex, monotonic preference I figured that an example of non-convex, monotonic utility preference could be $U(x,y)=x^2+y^2$. For convex, ...
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35 views

Minimum observations for an econometric SEM

Good day for all: I have an econometric SEM with three equations similar to: $$ A = \beta_0 + \beta_1 B + \beta_2 G + \beta_3 H + u_1 \\ B = \beta_4 + \beta_5 C_{-1} + \beta_6 D_{-1} + \beta_7 E_{-1}...
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1answer
37 views

discount factor, function, and rate

Consider an exponential discount factor $\delta\in(0,1)$. Similarly, consider an exponential discount $\textit{function}$: $g(t)=\delta^t$. Then, is defining the discount $\textit{rate}$ as below a ...
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56 views

Everyone has the same marginal rate of substitution

I'm currently reading Varian's Intermediate Microeconomics and what struck me, is this statement on page 89 of the 8th edition. If everyone faces the same prices for the two goods, then everyone ...
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27 views

Why should houses have the same price for a given supply

So I'm reading Varian intermediate microeconomics and in chapter one it's about housing. Suppose we have a inner ring and a outer ring in a city where there is a university. In the inner ring supply ...
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1answer
35 views

A weaker definition of local non-satiation can also imply indifference “curve”

Let $u$ be a continuous utility function on $\mathbb R^2_+\setminus\{0\}$. Consider the following three conditions: Local non satiation says that for any $x \in X$ and $\epsilon > 0$, there exists ...
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1answer
46 views

What is the iff condition for a preference with linear Engel curves (all Engal curves are linear)?

If we restrict the consumption at $\mathbb R_+^n$, then it seems like we are implicitly assuming that the Engel curve pass through the origin, so the iff condition would be homothetic preference. ...
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optimization problem for two individuals

Two flat mates 1 and 2, rent a flat and play their own music on the only CD player owned by flat-owner. They both like their own music, but dislike the music played by the other. Given the timing ...
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two period consumption problem

Ms. A earns 25,000 dollars in period 1 and 15,000 dollars in period 2. Mr. B earns 15,000 dollars in period 1 and 30,000 dollars in period 2. they can borrow money at an interest rate of 200% and can ...
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1answer
77 views

Show that this income tax is effectively a lump sum tax

This is a standard income, leisure tradeoff model. $$ \max_{c,l} \min\{c; l\} $$ $$s.t. \space c = w(1-t)(1-l)$$ $l$ is leisure (where total time is 1), $w$ is wage, $c$ is consumption, and $t$ is ...
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I have a dataset. How do I convert this data into Indifference Curves?

This is all hypothetical. I understand indifference curves. However, I don't understand how they are produced. I read this question, and the survey answer made sense to me... Research Design: ...
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Independence Axiom for Linear Utility - Who proved this first?

Who first proposed the following axiomatization of linear utility using Independence? I remembered that it was Debreu but I am not so sure. What was the first paper proving this? Consider a ...
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1answer
50 views

The law of supply and demand - How does it work?

I've learned what the principle of supply and demand says, and would paraphrase it like this: The price of a good is at equilibrium when supply and demand are equal. Or with other words: The ...
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1answer
27 views

Fehr & Schmidt, ultimatum game, inequaltiy aversion, perfect subgame Nash equilibrium

I am preparing for an exam. I have found an old exam but I have no solutions for it, so I tried to solve it, but I dont know if I did it correctly and need therefore your help. The problem looks as ...
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Finding the optimal consumption bundle given the strictly concave utility function $v(x,y) = U(x) +y$?

I am also finding it difficult to understand what are the fundamental differences between analysing optimal bundles between concave and convex functions ? Does it also happen that the optimal bundle ...
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Rotation of Quasilinear Utility

Let $u(x,y)=f(x)+y$ be a quasilinear utility. Now we rotate it by 45 degrees, (such that the $x-$axis becomes the direction of $(1,1)$) $v(x,y)=f(x-y)+x+y$. Is $v$ also a quasilinear utility? What is ...
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1answer
86 views

Remittance: Migrant workers sending money to their families

I wonder about the role of migrant workers in a general economic context. Migrant working appears all over the world and on many time and space scales: around cities (e.g. commuters) inside ...
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1answer
36 views

Can a monopoly supply negative units to one of its two markets?

A question I have seen in my microeconomics textbook is as follows: Consider a monopoly supply to both a domestic and foreign market, where the market demands are: Yd(pd) = 20 - 2pd, hence pd(yd) = ...
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NASH equilibrium [closed]

How to approach questions like these: In a two player static game with a discrete strategic space that permits each player to chose one of the four possible strategies what is the maximum number of ...
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Linear Homothetic Utility

A Homothetic Utility is where $$ \forall x,y, \forall a \in \mathbb{R}_+: \ u(ax,ay)=au(x,y) $$ (or its monotonic transformation). A linear Homothetic utility is defined as $$ \forall x,y, \forall ...
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1answer
51 views

Demand correspondence is both upper and lower hemi-continuous; is the preference continuous?

$\succsim$ is a weak order over $\mathbb R^L$. For a closed budget set $B\subset\mathbb R^L$, define demand correspondence: $$D(B)=\{x\in B|x\succsim y\forall y\in B\}$$. We know that $D$ is always ...
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2answers
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Can marketing efforts be considered to be a factor of production?

This is a sightly unconventional question, but I want to know whether marketing efforts can be considered as a factor of production. After all, if no one knows about your product, you can't make a ...
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1answer
36 views

Independence and Reduction Axioms

I have read that the Independence of Irrelevant Alternatives axiom in expected utility theory implies the fact that compound lotteries are equally preferred to their reduced form simple lotteries. ...
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1answer
42 views

Maximization when parameters are unknown

I would like to know if my understanding about how to find a maximum of the function when some parameters are unknown is correct. Consider the following maximization problem. $\max_{x}V=\int_0^{a(x)}...
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1answer
36 views

First Order Stochastic Domination and lottery preferences

Let $L$,$L'$ be two lotteries over the real numbers. Let $u$ be an increasing Bernoulli utility function. Let $F_L$, $F_{L'}$ be the CDFs of the two lotteries. We wish to show that $$L \succ_{FOSD} L'...
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1answer
85 views

Stackelberg Oligopoly 3 firms [closed]

Imagine that there are 3 firms in a monopolistic market, F1, F2 and F3. Firms 1 and 2 are incumbent firms and act simultaneously whereas Firm 3 observes the actions of both firms before deciding ...
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1answer
51 views

Meaning of $dF(z)$ in expected utility framework

Background: from a Microeconomics course, $F$ is a cdf. In other words, if $F$ has a density function $f$, then $$F(z)={\int_{-\infty}^z f(x) dx} $$ Write the Bernoulli utility function $u:...
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1answer
29 views

Production function involving profit maximisation

​Hi, I don't get how the answer of d is deduced in this question because I don't think I made any mistakes in my calculation and have also used all the information given. After knowing L is 800, I ...
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1answer
24 views

Price discrimination question

For this question the answer is b which is the TR of group 2. If price is the same, my question is why isn't the demand function of group 1 considered? Why is the TR of group 1 omitted?
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1answer
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MRTS question involving production function [closed]

My work out shows constant MRTS and also increasing returns to scale. I thought the answer was C as I only found increasing marginal products of labour and capital. I really don't see how the answer ...
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1answer
46 views

Sequential game equilibrium strategy question

The question asks for player B's equilibrium strategy, hence shouldn't player B choose the strategy that gives the highest payoff after player A's move? Why does player B choose 4 over 5 and 6 over 8 ...