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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8 views

Merge as a solution to externality [closed]

Can anyone mathematically, with any example, say, how can merging internalize the externality?
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Derivative of $x_1^S(p_1, p_2, \overline{x}_1, \overline{x}_2) \equiv x_1(p_1,p_2,p_1\overline{x}_1 + p_2\overline{x}_2)$ to derive Slutsky equation

Why is the partial derivative of $x_1^S(p_1, p_2, \overline{x}_1, \overline{x}_2) \equiv x_1(p_1,p_2,p_1\overline{x}_1+p_2\overline{x}_2)$ for $p_1$ $$ \frac{\partial x_1^S(p_1, p_2, \overline{x}_1, \...
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Nash Equilibrium with three players how to solve [closed]

I h Apart from pure strategy nash equilibrium, are there any mixed strategies? If so what are they? why are the no more equilibrium beyond what is found?
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Unsolveable Demand/Utility Problem?

A consume has a preference relation on $\mathbb{R}^4_+$ with a utility function defined as $$ U(x_1,x_2,x_3)=(\ln(3x_1+2x_2+x_3))^3$$ Find the demand at prices $p=(1,1,1)$ and wage $4$. Attempt I ...
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Why are cost functions often assumed to be convex in microeconomics?

Why are cost functions typically assumed to be convex in producer theory of (introductory) microeconomics? For me this goes against the intuition of economies of scale. There are fixed costs (FC) ...
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29 views

Long run equilibrium price under perfect competition

I have a problem related to Ricardian rent. I have one firm, let's call it X firm, and all of the other firms in the market. All firms have to pay some transportation costs due to their land except ...
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1answer
27 views

Why does a higher risk aversion leads to a lower intertemporal elasticity of substitution?

Mathematically, a higher risk aversion leads to a lower intertemporal elasticity of substitution (there is an inverse relationship). But why? If I become more risk-averse, I would like to smooth my ...
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1answer
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Concept of Utility in demand systems

I have seen that researchers use different utility function in demand systems estimation such as Stone Geary. What is the role of these utility functions? What are utility function other than stone ...
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28 views

Pure Nash equilibrium in bidding game?

According to the answer key for a problem set, there is no pure strategy Nash equilibrium in the following problem. Yet I can't see why not. Could it be an error in the answer key? Here's the problem: ...
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Credit Constrains [closed]

[![Image 1][1]][1] [![Image 2][2]][2] [![Image 3][3]][3] I need help with this microeconomic problem. My thesis advisor told me that I need to solve them for my thesis. They are vaccine allocation ...
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1answer
52 views

Utility function and homogenous of degree zero

I've a utility function which is given by ($x_i$-$b_i$)$^{c_i}$ $\sqrt{x_2}$ . What values of b and c can I input to ensure Homogenous of degree zero in prices and wealth? I think c will be positive....
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Are the goods in additively separable utility functions normal goods?

Inspired by this answer. To make it a bit more precise, by normal good I mean demand is (not necessarily strictly) increasing in income, and by additively separable utility function I mean that a ...
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1answer
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Expected utility theory (Lottery notation)

A wheel of fortune has outcomes $S=\left \{ 1000,100,50,20,0 \right \}$ as money prices. A consumer has the preferences $$20\sim \left ( \frac{2}{100}\cdot1000 \oplus \frac{98}{100} \cdot 0 \right )$$ ...
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1answer
51 views

Cobb Douglas relation with uncompensated law of demand

Does a Cobb Douglas or homothetic function satisfy the uncompensated law of demand?
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Take it or Leave it Offer [closed]

[![I am having a bad time solving second price auctions and lotteries with resale with credit constrains. Does someone know how to answer these?][1]][1] I have to solve some microeconomic bonus ...
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1answer
51 views

Production Set: Not satisfying Free Disposal Assumption

I saw the figure which satisfies the free disposal assumption in Mas-Colell, Whinston and Green (1995), but wondering if there is a figure that DOES NOT satisfy the free disposal assumption? Any leads ...
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Perfect information game

Assume that there are two parents A and B who are tempted to pick up their children late. We denote the set of parents $N = {A, B}$. Each parent $i \in N$ chooses from the action set $A^i = {E, L}$ ...
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1answer
52 views

Trigonometric Cost Function

I've been reading on producer theory and came up with a ridiculous question. Has anyone tried to model costs with a trigonometric function? would it work with the assumptions we need? Thanks!
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1answer
51 views

Derive demand function from utility

Never encountered such a problem as I am new. $$U(x_1,x_2)=(a\ln(x_1)+b\ln(x_2))^n$$ and $a,b,n>0$ with income $w>0$ and prices $p_1,p_2>0$. Find the demand function. Attempt I am thinking ...
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Can an inferior good be necessary?

Usually the definition of necessary goods is the income elasticity between 0 and 1. But can a good with -0.5 income elasticity be considered necessary? There is this link that says that all the ...
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Cournot Duopoly Question [closed]

Consider a duopoly with a demand curve given by P = a –bQ, where a and b are positive constants and Q is the total production by the two firms. Firms sell identical goods and have an identical ...
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Better Model for Dynamic pricing - Stackelberg model or Bertrand model

Objective - I am building a dynamic pricing tool for airline tickets which will consider the competitor prices. Taking competitor price as reference, this tool will price the ticket. Also instead of ...
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2answers
123 views

Is it true that for Cobb-Douglas preferences, the demand function is always iso-elastic?

As we know that $Q*P=const.$ for Cobb-Douglas preferences, we can thus conclude that $\frac{dQ/Q}{dP/P}$ is always $-1$: $$ QP=const. \implies 0=d(PQ)=Q\ dP+P\ dQ \implies \frac{dQ}{Q}=-\frac{dP}{P} $$...
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How do I determine PED from price consumption curve with slope of zero?

Given a budget for two goods $x_1$ and $x_2$, a fixed price for good 2 and three prices for good 1 with the corresponding optimal amount of good 1 ($x_1$), I like to calculate the PED for good 1. By ...
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1answer
56 views

Without knowing the Slutsky equation and income/substitution effect, how can I show a certain good is inferior or Giffen?

Say I've got a function $x_1(p_1,p_2,m)$ where $p_1, p_2$ are the prices for good 1, good 2 respectively and m is the income. Now, I haven't heard of the Slutsky equation yet nor the income/...
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204 views

Relation of Engel-curve to income elasticity of demand; is the slope of the Engel-curve equal to the elasticity of income?

I learnt that $\frac{\Delta x}{\Delta m} \gt 0$ for normal goods, $\frac{\Delta x}{\Delta m} \lt 0$ for inferior goods, $\frac{\Delta x}{\Delta m} \gt 1$ for luxury goods and $0 \lt \frac{\Delta x}{\...
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Suppose a monopolist’s marginal costs shift up by £1. What will happen to the monopolist’s price? Explain why [closed]

Suppose a monopolist’s marginal costs shift up by £1. What will happen to the monopolist’s price? Explain why.
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1answer
109 views

How to prove a generalised function is quasiconcave?

I have a question I have been asked to solve: Given that $(a_1, a_2,...,a_n)\in R_{++}^n$ and $(x_1, x_2,...,x_n)\in R_{++}^n$, and $A>0, \mu >0, p \neq 0$, if there is a function $f(x)=A(a_1x_1^...
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3answers
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Why min AC = min SRAC at the minima of AC curve?

At the lowest point of long run average cost curve AC, the SAC is also at its minimum and that is not the case with any other SAC curve bounded by the envelope. Why is that?
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Two Sellers, One Buyer Auction

Consider the following game. There are two sellers, each of whom can produce one unit of an indivisible good. The cost of producing the unit for seller i is $c_i$ . There is a single buyer who wishes ...
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Finding long run total cost function

I am trying to find the long run total cost function, given the firm's production function $y=L^α K^β$ where $α,β>0$ and two inputs $L$ and $K$ where $ L,K∈R_+^2$, with factor prices $w$ and $r$ ...
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1answer
29 views

Proximity-concentration hypothesis: homogeneous firms and symmetric countries

Hi everyone I am running into a stone wall and don't seem to be able to solve this, can someone show me the steps how I can insert 1 into 2 and get 3. $B=\frac{f_E+f_D}{φ^{(σ−1)}*(1+τ^{(1-σ)})}$ $π =...
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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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1answer
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Is an income tax always more favourable for consumers compared to ad valorem/quantity tax?

I'm studying the optimal choice of consumers with regards to taxation. I read that for consumers, income tax is generally (for Cobb-Douglas preferences) preferred compared to ad valorem tax: If the ...
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1answer
52 views

How is AVC(Average Variable Cost) ‘U’ shaped because of the principle of variable Proportions? [closed]

How is AVC(Average Variable Cost) ‘U’ shaped because of the principle of variable Proportions? How are average variable cost(AVC) and marginal product(MP) related?
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Quote or price driven markets

Where can I find some details about quote driven markets? Can anybody show any notes or provide some paradigm about what the trader sees when he is about to trade in such a market? They say that he/...
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1answer
72 views

Approaches in demand analysis

What is the difference between Engel Curve and the system approach of demand analysis?
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1answer
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Why is the derivative of a monotonic transformation of a utility function assumed to always be greater than 0?

I'm looking into utility functions and their relation to indifference curves. Now, I understand a positive monotonic transformation does not change the order (it's a rank-preserving transformation). I ...
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53 views

Nash equilibrium with three players

Consider the game below played by three players. Player 1 chooses one of the rows (T vs B). Player 2 chooses one of the columns (L vs R). Player 3 chooses one of the three tables (A vs B vs C). Each ...
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1answer
54 views

Demand function for partially subsumable products

I am struggling with this question that should be simple for economists (I am not an economist at all): There is a market with a limited number of (heterogenous) consumers with two firms, each ...
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Strange screening game were FS contracts equals optimal contracts

Consider the setting where a principal hires an agent to do a project. Payoff from project is $\pi = \beta e$, where $\beta \in \{1,2\}$ is the degree of the agent's talent and $e \in [0, +\infty]$ is ...
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2answers
81 views

Auction Theory: Proving that the found equilibrium is indeed optimal

I have been looking at auction theory and in the book Auction Theory by Krishna, there is one (seemingly simple) inequality that I just cannot follow. Context: given a private valuation $x$, the ...
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Inter country currency exchange [duplicate]

This is probably a stupid question as I don't know much about economics, please bear with me. My question is; why can't a country insist on the worth of their currency relative to the dollar. For ...
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2answers
117 views

Convex rationalization when the budget sets are segments?

Backgroud: SARP can be defined on general budget set. SARP: Assume for all $B$ the choice $c(B)$ is only one element. If $x_i,x_{i+1}\in B_i$, and $x_i = c(B_i)$, for all $i\in \{1,N-1\}$, then $x_1=...
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1answer
49 views

Utility maximization: pollution and housing prices

A factory releases a toxic pollutant which causes two types of damage to a representative area resident whose utility function is $U(S,H,x)= a \cdot \log(S) + b \cdot \log(H) + c \cdot \log (x)$ where ...
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1answer
94 views

Proof that two utility functions $u(x_1,x_2) \text{ and } v(x_1,x_2)$ with the same MRS represent the same preference

I am having some difficulty proving that two utility functions with the same marginal rate of substitution represent the same preference. I think I need two use some argument related to strictly ...
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1answer
34 views

Multi dimensional Auction in economics

I am following this paper . They have different suppliers and one buyer and They are using auction to select best suppliers Suppliers will submit. suppliers offer a multidimensional bidding on quality ...
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1answer
33 views

What does 'establishment' mean in real estate industry?

I read data on real estate industry and there is a table titled "establishments". The title of it is "number of establishments in real estate for all establishment sizes". Is '...
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34 views

How to calculate substitution and income effect when only 1 bundle is given?

I was given information of a consumer that initially consumed 4 units of both good x and good y with the initial price of $5 for both goods (px = py = 5). The initial budget constraint is 40 = 5x +5y ...
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Some basic Consumption CAPM questions

Say we are in a world described by the consumption CAPM. All investors in this world have quadratic utility. Also, assume that consumption is as follows: $$c_{t+1} = (1+m_t)c_t + s_t c_t e_t $$ where ...

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