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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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What is value in the context of microeconomic analys for case of monopoly profit maximization

I'm trying to refresh my microeconomics knowledge. And I have some "blind spots" I just can't fix. Let's say we have a monopoly on the market. It's usual goal is to maximize it's profits. The point ...
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23 views

Calculating Market Concentration without sales data

I want to calculate market concentration (HHI and C4) but I don't have sales data. Is it accurate to use the share of establishments of each firm as a proxy for market power? Could you list some ...
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1answer
48 views

How to calculate marginal utility with two goods?

I'm just getting started as an amateur into microeconomics and I really can't understand this thing about marginal utility when more than one good is involved: Let's say I have the utility function U ...
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17 views

How does social cost and social benefit work?

I am really lost right now. I have a test tomorrow and I am stressing out. Whatever I look at for externalities, which could be my textbook, a website, notes from class, they all contradict each other....
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Imperfect Price Discrimination profit per group

During imperfect price discrimination is it possible to determine profit per group. For example: Aggregated Cost function: C(Q) = 18*Q + 5; where Q = q1 + q2 Aggregated Demand (AD) for group 1: q1(...
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31 views

General Equilibrium Involving Production

I need a little conceptual clarification. For a standard $N*K*M$ general equilibrium model, would an allocation, say, $y^k$ be Pareto Optimal if it does not solve $max(py^k)$? I understand that the ...
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20 views

Determining Another Possibility For a Microeconomics Question

If new, more advanced equipment reduces the amount of labor needed to produce an increased level of output, then The AVC curve will shift upward The MC curve will shift upward The ATC curve will ...
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30 views

Majority Rule and Single Peakedness

Majority Rule will induce non empty choice set if individual preferences are single peaked Is this statement true? I have some trouble in understanding the meaning of 'single peakedness' in context ...
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Understanding Classical Rationality at a Basic Level

I am a high school student in an intro Microeconomics class (note that we have not covered utility functions) and I'm utterly confused about the classical concept of rationality. I certainly ...
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37 views

Second order partial derivative and cross second-order partial derivative

I'm following a paper (Full text available here!) where at some point (pag.17 and 20) the author get the following derivative: $$\frac{\partial V}{\partial L}=Y-X\frac{dY}{dX}=\alpha X^{-\frac{c}{b}}...
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1answer
36 views

Nash equilibrium two players in a joint effortful project

I have a problem where there are two agents in a joint project, Each agent $i$ puts in effort $x_i$ $(0 \leq x_i \leq 1)$ which cost each $c(x_i)= x_i^2$. The outcome of the project is $$ f(x_1, x_2)...
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1answer
80 views

Proof of Expected utility theorem with three outcomes

I am trying to prove the expected utility theorem with three outcomes. The expected utility with $n$ outcomes is rather cumbersome and long in the economics textbook Mas-Colell. But I was hoping that ...
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proof verification in George J. Mailath and Andrew Postlewaite (2001b)

I am reading George J. Mailath and Andrew Postlewaite (2001), and this is the lemma 1 in this paper. I don't understand the induction process in this proof. I think that we should use the fact that $...
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1answer
19 views

Am i correct here? #greenTaxes #priceMechanism #inefficientTax #DeadweightLoss [closed]

Now accoring to this article: https://www.telegraph.co.uk/news/2016/07/30/britain-banishes-plastic-bags-as-5p-tax-sees-usage-plummet-by-6/?fbclid=...
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2answers
28 views

If the consumer is not a price taker, does she still set marginal rate of substitution equal to the price ratio?

Consider some consumer who consumes good $x$ and $y$. The price of $x$ is fixed to be $k$. The price of $y$ is $c(y)$. The consumer's marginal rate of substitution is given by $\frac{-x}{y}$. If the ...
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1answer
64 views

Calculating the elasticity of substitution between factors of production

Following the work of Lu (1967) (Full text available here!) I got stuck trying to derive the elasticity of substitution between factors. He use the formula developed by Allen, that when the production ...
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1answer
35 views

Proof for homogeneity of elasticities

Throughout microeconomic literature i see the following restiriction placed on the nature of elasticities in demand system estimation. This being for some arbitarary good $x$ we require price ...
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1answer
58 views

Perfect Bayesian Equilibria

What are the perfect Bayesian equilibria in the following game? The part that is confusing me is the right-hand side, where player 2 is of type N. Thanks! EDIT: My workings out so far are given ...
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31 views

Why is the price of books set by the manufacturer rather than the distributor?

For almost all manufactured goods which the manufacturer doesn't sell directly to the end consumer, the manufacturer sells to a distributor, and the distributor is then free to resell the good to the ...
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What is Application of Vector Algebra in Economics?

I through one tutors heard that vector is used in economics . But on searching about it on internet could not find anything Recently I studied about Vectors in Mathematics So I was wondering how ...
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1answer
31 views

Can the endowment point be the competitive equilibrium?

Quoting from MWG p.519, Chapter 10: Pure Exchange, The Edgeworth Box ..., any intersection of the consumers' offer curves at an allocation different from the endowment point $\omega$ corresponds to ...
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4answers
61 views

Do consumers also invest?

Definition of Investment that I have found: Investment is the expenditure incurred on the procurement of such capital assets that would help in further production . According to this, it means that ...
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2answers
42 views

How can I show whether the following function is Increasing, Decreasing, or Constant returns to scale? [closed]

I need to show whether or not the following function is increasing, decreasing, or constant returns to scale, but I can't figure out how to extract the t from it when it is put in the form $y(tX_1, ...
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0answers
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Is the definition of Investment variable in Economics?

I studied that Investment is the expenditure incurred on the procurement of such goods that would help us in production of goods and services. And mainly consists of Fixed and Inventory Investment ...
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1answer
29 views

Finding individual utility

There are N agents living in an economy with two goods, $X$ and $Y$. Their preferences are described by the following utility function $u(X,Y) = 2 \sqrt{XY}$. Each agent is endowed with 1 unit of $X$ ...
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Pareto Optimality of Endowments

Consider a $2*2$ exchange economy where individual $1$ has an endowment $(4,5)$ and individual 2 has an endowment $(6,5)$. The utility functions of individuals are represented by $U({x}_i{y}_i)$=${x}...
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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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Three consumers three goods competitive equilibrium

I have the economy described by the three consumers above with their respective preferences and endowments. I'm not so sure about how to proceed towards the competitive equilibrium...
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2answers
58 views

Linking top-down and bottom-up models for analyzing electricity price-based demand response: Expenditure constraint is violated?

I have a question about the contents of this paper*, which links a building energy model and a utility-maximization component. In it, the author tests several electricity prices using a Cobb-Douglas ...
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2answers
114 views

Strongly and strictly increasing utility functions

What's the difference between Strongly and strictly increasing utility functions? What I know is that if $x'>>x $ where $x'$ has all elements strictly greater than $x$ then $U(x')>U(x)$, I ...
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1answer
30 views

Necessary conditions for the existence of a competitive equilibirum

I got that in an exchange economy, conditions as preferences being continuous, strictly convex and strongly monotone and $\sum_i \omega_i\gg 0$ are sufficient conditions for the existence of a ...
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0answers
24 views

Competitive Market - Production & Number of Firms

The question is as follows: The inverse market demand for provision of gas services is given by p(y) = 1/(1+y), where p is the unit price and y measures output in appropriately scaled units. Suppose ...
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1answer
38 views

What is the difference between solving for utility maximization separately or aggregately?

I derived the Walrasian equilibrium for an economy of two consumers with their respective utility functions (u1, u2) and initial endowments but later on I am asked to maximize (u1+u2). Does anyone ...
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0answers
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Assumptions for the existence of a Walrasian equilibrium

I have a problem set stating that a competitive equilibrium does exist under a series of assumptions on the economy. The question is "Show that the following six assumptions are needed for existence ...
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1answer
32 views

Sunk cost fallacy- is it a bug or a feature?

I was having a conversation with a colleague regarding sunk costs, and discussion came up that the appeal of falling for the sunk cost fallacy might be a feature rather than a flaw, as it is behavior ...
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2answers
41 views

In perfect competition, why is there economic loss if marginal cost > marginal revenue?

Here's a graph for reference: In the left graph, I read from a book (CFA L1 notes) that At any output above the quantity where $MR = MC$, the firm will be generating losses on its marginal ...
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1answer
22 views

What is the monotone hazard rate assumption used for?

I was reading this article on advance purchase discounts and pricing in which the author uses the monotone hazard rate assumption. Why does the author use it? The article is Advance-purchase ...
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1answer
49 views

Is Marginal Revenue not always equal to the price?

Marginal Revenue is equal to the price in perfect competition, but MR is also defined as the revenue obtained by selling one extra unit of the good, so how is it not always the case that MR=P ? ...
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1answer
238 views

Income and substitution effect for perfect substitutes

I was recently asked about what the income and substitution effects are for perfect substitutes are. Given the rather peicewise nature of the demands for each good in a utility function considering ...
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0answers
26 views

Find a subgame perfect equilibrium and a Nash equilibrium

I want to know if my thinking is correct. Look at the following game. As the game has only one subgame (i.e., the game itself) then the Nash Equilibria will coincide with the subgame perfect ...
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1answer
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How to show average cost is falling if we have IRTS

Using maths how could I show this, I am able to show that AC>MC By differentiating AC with respect to q and assuming AC is falling , but how do show its falling in the first place if we have ...
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1answer
48 views

Maximizing a Cobb-Douglas Function

Suppose that a competitive firm receives a price of $P$ for its output, and pays prices of w, r and v for its labor $(L)$, capital $(K)$ and natural resources $(R)$ inputs, respectively. The firm ...
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1answer
44 views

Is it right to derive social marginal benefit by adding individual prices instead of quantities?

I come across a lecture material on market functions and externalities that makes me quite confused. Here's the setup: Two stores are located next to each other. If one installs a camera system in ...
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2answers
115 views

How can perfectly competitive firms earn zero profits?

Consider a firm that chooses the quantity of labour $L$ to hire which maximises its profits. As usual, we suppose that output $Y$ is increasing in $L$ but at a strictly decreasing rate; and for ...
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Some manipulations of the cost and factor demand functions

I am trying to understand a few manipulations of the conditional factor demand $z(w,q)$ and cost function $c(w,q)$, were $w$ are input prices and $q$ is a given quantity (the reference is Mas-Colell, ...
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1answer
189 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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1answer
55 views

Does Preference have a Hierarchy? A Silly Question

I have what is probably a very silly question, but I have gone down the rabbit hole and can’t get back out..... Is there is a hierarchy of preference, and within each level of choice do we reset the ...
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1answer
73 views

Why does a homothetic function have constant ratio of marginal products along rays?

A homothetic ordering is defined as $x \succeq y \Rightarrow \lambda x \succeq \lambda y \qquad \forall \lambda >0$ where $x,y \in \mathbb{R}^n$ Then, any differentiable function representing ...
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4answers
83 views

Convexity of indifference curve

The convexity of an indifference curve results from the fact that the absolute value of its derivative, which is the marginal rate of substutution is decreasing. But why do we say that it's convext to ...
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2answers
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Can $u(x) = \sqrt{x_1 x_2} + \sqrt{x_3 x_4}$ be solved by Kuhn–Tucker conditions?

Consider $\max_{x_1, x_2, x_3, x_4} u(x) = \sqrt{x_1 x_2} + \sqrt{x_3 x_4}$ s.t. $\; p_1x_1 + p_2x_2 + p_3x_3 + p_4x_4 \le w$ I know we can solve the max problem through separately considering ...