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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11 views

Optimal tax level that raises revenue R < e given Hicksian demand elasticities

I have to find a uniform tax rate that raises revenue R < e and I am given a Hicksian cross price elasticity demand matrix below. I know I want to use Ramsey's first-best but I am not sure, how to ...
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3answers
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locally nonsatiated preferences

what does this symbol mean in the discuss of locally nonsatiated preferences: $\varepsilon > 0$ and $||y-x||<\varepsilon$.
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4answers
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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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Mathematical Micro/Macro Economics Textbook Recommendation

I was formerly an economics major and now also majoring in mathematics. I want a textbook that is rigorously based on mathematics; not just using mathematics whenever the author wants, but in a more ...
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1answer
267 views

Axiom: More is Better; But when is more better?

I'm taking an introductory microeconomics course and have been introduced to the 3 axioms of economic preferences. These include Completeness Transitivity Non-satiation My understanding of non-...
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1answer
38 views

Are these two derivatives the same with regards to TR?

Given that Marginal Revenue is change in Total Revenue: TR = P*Q P = f(Q) TR = f(Q) * Q MR = dTR/ dQ Or ...
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1answer
44 views

Cobb-Douglas function homotheticity

I've been given the Cobb-Douglas utility function: $\ u(q_1, q_2)=a\ln q_1+b\ln q_2=q_1^aq_2^b \ $ If I want to prove homothetic preferences, I use the following condition: $\ u(\lambda q_1, \...
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1answer
47 views

Check for concavity, quasi-concavity with given value of function

I am studying for an upcoming exam in microeconomics and I have always struggled with proving concavity, convexity in different exercizes. This one I can't solve for the life of me. It is kind of hard ...
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2answers
58 views

For the case of two goods, give an example of preferences that are represnted by a continuous utility function that allows for fat indifference curves

The question in the title sounds like a trick question, due to the monotonicity property that indifference curves have, such that for two goods x and y, strong monotonicity implies y > x. Possible ...
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1answer
187 views

How to find the maximum profit in a graph?

We know the maximum profit will occur at the quantity where the gap of total revenue over total cost is largest. But how can we find such gap?
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1answer
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What does “r” represent in the total cost function?

I know that the total cost function of a firm in the short run is: TC = wL + rK, where rK is essentially a constant. I understand the variables w, L and K, but I still don't get what r is. I mean, ...
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50 views

Derivation of a Demand Equation

A consumer's utility function is $U(x,y)=\sqrt x + y$. Assuming we have an interior solution, I need to show that the demand for $x$ does not depend on income. I know that the consumer consumes where ...
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How to find the profit-maximizing output level?

Table 11 In this post, step 5 states the profit-maximizing output level is quantity 5. But in this case, $p=28$, $MC=30$, $p\neq MC$. Why it is the profit-maximizing output level? Step 4 states the ...
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Microeconometrics course vs time series

I am currently a graduate student in Operations Research and I would like to learn econometrics, as it is not a part of the core curriculum. I am comfortable with matrix algebra (many courses used ...
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2answers
59 views

Arrow’s impossibility theorem and voting schemes

Arrow’s impossibility theorem states that there is no procedure for aggregating individual preference orderings into a collective preference ordering that satisfies certain apparently desirable axioms....
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1answer
50 views

Simple General Equilibrium Model of Public Goods: Intuition?

We assume a two person economy, denoted by person A and B. Good y is an ordinary private good, and each person begins with an allocation of this good given by $ y^{A*} $ & $ y^{B*} $ respectively. ...
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1answer
53 views

Most profitable conversion of stock into money

When Forbes-lists of top billionaires are published we are usually aghast of their riches and statements such as "the 8 richest people own as much as the poorer half" are disseminated. I was ...
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Constant Elasticity of Substitution- profit maximization vs cost minimization

Consider the following production function: $$ Y=A\left[\alpha K^{\rho}+\left(1-\alpha\right)L^{\rho}\right]^{\frac{1}{\rho}} $$ In the above, $\rho$ is the substitution parameter, and $\sigma=\frac{1}...
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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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1answer
290 views

marginal utility of consuming vs marginal rate of substitution

good day all I am taking second year economics, but my textbook is not very clear on this topic A quoted from Intermediate Microeconomics and Its Application. Nicholson, Snyder. 11th Edition. ...
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3answers
79 views

Can we compare risks of lotteries?

I understand the concepts of risk-aversion, risk neutrality and risk-attraction. I wonder if it possible to compare risks between two lotteries without giving the utility function. For instance, Let ...
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1answer
47 views

Minimizing consumption in a single market( Partial Equilibrium)

Let there be a good X where the optimal consumption is 0; i.e the social costs for any unit provided would always be greater than the utility surplus of the market. We know that prohibiting it( ...
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2answers
109 views

Utility Functions: Implying endless consumption?

Do utility functions imply that if a consumer's income infinite, his consumption should also be infinite? The reason why I'd think this is the case is based on my basic understanding of utility ...
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1answer
40 views

Notation? Inverse of demand function

I'm looking through The Investment Decisions of Firms by S.J. Nickell, and I've come across some notation that I don't quite understand. Any clarification would be very welcome. Nickell first assumes ...
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3answers
164 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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1answer
50 views

In the long run, would a production-possibility curve expand outward if the country preferred more consumer goods than capital goods?

PPC will not expand outward if the country preferred more consumer goods than capital goods. The total amount of resources in an economy at any given point of time is fixed. If a country ...
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1answer
81 views

Diminishing mariginal utility and risk preferences

Diminishing marginal utility is a concept only in cardinal utility theory rather than ordinal utility theory. As diminishing marginal utility implies a concave shape of the utility function, does it ...
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1answer
80 views

When to use a lagrange multiplier?

I have a question in regards to the use of Lagrange multipliers in macro models. I have seen that when writing a Lagrange there are two ways to write the Lagrange multiplier: 1) Indexed or 2) ...
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2answers
50 views

Does quantity demanded refer to all consumers or individual consumers?

When looking at points along the demand curve, is each quantity corresponding with each point referring to the total quantity demanded by all consumers in a market or the quantity demanded by ...
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1answer
35 views

How to compute Walrasian equilibrium in the case of logarithmic utility?

If the utility is $U = \ln x + 2 \ln y$, how do you compute Walrasian equilibrium via usual formula for demand $x=a(x p_x + y p_y)/p_x(a+b)$ ? What is $a$ and $b$? In case of Cobb-Douglas function ...
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1answer
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How would increase labor productivity lead to improved living standards of people in an economy?

I would like to know more about the mechanisms through which higher labor productivity would translate into higher living standards for a population in a given economy.
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1answer
54 views

Supply and Demand plotted on a three dimensional Cartesian coordinate system

Is it possible ? if it's possible can someone give me a reference ? Thanks !
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1answer
33 views

Population growth and household income

I heard a real estate agent say “as a city’s population increases so will the household income.” He went on and gave an example of how a city had a population growth of 20% and a household income ...
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115 views

Bayesian Nash Equilibria: Strong and Weak Types

I need a little help with the question. I understand that since both players have two types each, there will be 4 different payoff matrices to be considered, $(S,S)$,$(S,W)$,$(W,S)$,$(W,W)$, each type ...
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72 views

How do we define an efficient tax in microeconomics?

I am currently working through problems to study for an upcoming exam. I am not seeking a solution per se. I am looking at the intertemporal choice model. I am looking at two periods where consumption ...
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1answer
144 views

Numerical Question on a subsidized monopoly

Suppose a government agency has a monopoly in the provision of internet connections. The marginal cost of providing internet connections is $ \frac12$, whereas the inverse demand function is given by: ...
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29 views

Inforamtion asymmetry modeling

Is there any cook book, in finance, for models in information asymmetry, so as to make some practice?
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1answer
65 views

MWG Proposition 2.F.1

Is homogeneity of degree zero necessary in proposition 2.F.1? It seems like the proof does not assume homogeneity of degree zero to establish the proposition. If this is true, it seems that ...
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1answer
65 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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2answers
4k views

Difference between Giffen and inferior goods. Why aren't all inferior goods Giffen goods?

What is the difference between an inferior good and a Giffen good? Are the two following definitions for an inferior good equivalent? Def 1: An inferior good is a good for which the demand decreases ...
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2answers
64 views

Mathematic notation of scale returns

I'm having trouble with returns to scale mathematical notation which i found counterintuitive even I'm fine with its definition. Any help will be very appreciated. There are three possible types of ...
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1answer
223 views

Fixed costs in the long run

Can anyone please help me understand how fixed costs in the long run are zero? In Microeconomics by J. M. Perloff, the author gives the example of a factory's rent and says that if we are talking ...
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On shapes of indifference curves

I encountered this question in Microeconomics by Pindyck and Rubinfeld. The question says that "Suppose Jones and Smith have each decided to allocate $1000 per year to an entertainment budget in the ...
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1answer
57 views

Budget Constraint in Utility Maximisation Problem with Lagrange Multipliers

Lets say we have a utility function $U: \mathbb{R}^{2} \to \mathbb{R}$ given by $U(x,y)$ and a binding budget constraint $p_{x} x + p_{y} y = m$, where $p_{x}, p_{y}$ are prices of goods $x,y$ and $m$ ...
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In a production function, the technology can vary across the firms and times. But the “power” must be same for the same industry?

Let $F_t=A_tK_t^\alpha L_t^{1-\alpha}$ be the production function with two parameters. In regression, we know the firm level $F_t$, $K_t$, and $L_t$. We want to estimate $A_t$ and $\alpha$. I've ...
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1answer
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In the Cournot Duopoly Model,why is the Equilibrium achieved at 1/3 Rd of the Market Share?

I've been reading it for a while,while I do get the action reaction movements,I can't understand as to how the 1/3rd value was reached. Can anyone intuitively or mathematically explain as to how it's ...
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2answers
132 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 ...
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Optimizing Lagrangian Function Subject to 4 Input/Output Constraints:

The objective function: $$\text{utility}=U\left(x_{c}, y_{c}\right)$$ subject to, $x_{o}=f\left(y_{i}\right)$ $y_{o}=g\left(x_{i}, x_{o}\right)$ $x_{c}+x_{i}=x_{o}+x^{*}$ $y_{c}+y_{i}=y_{o}+y^{*}$ ...
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1answer
85 views

Job search theory in discrete time

Let us assume that there is a labor who lives in discrete time universe and discounts future payoffs with the discount factor $b\in (0,1)$. And we assume that this labor is at period $t=0$ at first. ...
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8answers
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Why does quantity supplied increase with price in economics?

The Law of Supply is my worst enemy in economics because I could never truly understand it, and as a result, the stuff I learned after that was built on a weak foundation. The Law of Demand is totally ...

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