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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44 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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Queries regarding Cost Advantage

What is Cost Advantage? Please describe Cost Advantage briefly so that I can get a good idea of that thing...
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48 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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10 views

Index of an Excess Demand Vector

Mas-Colell, Whinston and Green, in Microeconomic Theory (third edition), postulate the concept of an index for an excess demand vector, which is later used in the Index Theorem: A regular equilibrium ...
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Equilibrium price determination in a 2 commodity framework

Following are the set of equations describing the demand and supply of two goods X and Y: Demand functions: $$X_d = a_1 - b_1P_x + c_1P_y$$ $$Y_d = a_2 - b_2P_y +c_2P_x$$ $a_1,~ a_2,~ b_1,~ b_2,~ ...
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Have I found the correct Emission Price

Let's say that there is a hotel owner $(H)$ and a woodworker $(W)$ working in close proximity to one another. The woodworker produces $x$ units to sell at market at $p_{x}=6,5$. From the woodworking ...
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1answer
32 views

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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51 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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Are there examples of Cost Benefit Analysis using diminishing marginal utility of income?

In Cost Benefit Analysis (CBA) constant Marginal Utility of Income (MUI) is usually assumed. This implies that a dollar received/earned is the same at low and high levels of income. In Social CBA, ...
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60 views

Monthly price elasticity and possibility of using daily values

I am calculating the price elasticity as a starting point to find a theoretical optimal price that would maximize our revenue. I am looking at 2 years data and to use the price elasticity formula, I ...
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1answer
67 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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19 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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25 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
40 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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Theoretical research on how to make money? [closed]

The Internet is abundant with "How to make money" posts. Yet I want to find some research on how does money-making mechanisms work? How many types of ways are there to make money? Which one is more ...
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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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1answer
27 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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2answers
225 views

Is it possible to give, in economics, an example of a relation ( set of ordered pairs) that is not a function?

In mathematics, some relations ( sets of ordered pairs) are not functions. I know economists make use of functions. But do they also consider relations that are not functions. In which branch of ...
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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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20 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
50 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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31 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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28 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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442 views

Recent economics theories that involve differential topology?

The original development of general equilibrium theories involved differential topology. I wonder if there are any recently developed theories, in any field of economic theories, that utilize ...
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2answers
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By what means do prices change?

The classical supply and demand theory states that prices and quantities of a given good (in a perfectly competitive market) are determined by the supply and demand of that good, a shift in the demand ...
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12 views

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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How can power/electricity prices be negative?

Bloomberg shows this chart: I understand the above chart to mean that consumers were actually paid to use electricity. (Please correct me if I'm mistaken.) I was wondering how this is possible? How ...
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1answer
18 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
50 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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3answers
100 views

Perfectly competitive firms. Economies of scale

My textbook says the following: "Perfectly competitive markets only achieve productive efficiency if you assume that there are no economies of scale in the industry." Why is this the case? And by "...
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1answer
42 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 ...
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1answer
34 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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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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37 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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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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2answers
101 views

What is the Walras law vs first welfare theorem

As far as I know, both of the first welfare theorem and the Walras law are closely tied to the invisible hand. what is the difference between them? thank you very much for your help
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Market entry limit pricing question

In a certain market where entry is free but only 1 firm is there, market demand is $Q=(1850-100P)/3$ Total cost is $C(q)= 0.01q^2 + 2q + 400$ - this is for firms that want to enter this market, the ...
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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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Transformation Function

In Mas-Colell microeconomics textbook I have found that profit maximization problem (as well as many further optimization tasks) could be represented with application of some transformation function (...
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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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1answer
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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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4answers
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Can someone explain graphically why MRS is invariant under monotonic transformation?

Let $U(x,y)$ be a utility function. Suppose I have an indifference curve for which $U(x,y) = \bar{U}$. Then $dU = 0$ along the curve and I can rearrange to find the MRS. Suppose I have a monotonic ...
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2answers
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Why do housing and parking cost more in urban than in rural areas, but road access doesn't?

In city centres, land is more expensive than in suburban or rural areas, as land is scarce. Consequentially, housing and parking in cities cost more. However, the same is not true for using the road ...
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36 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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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
76 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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26 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
30 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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29 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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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 ...