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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28 views

utility maximization with nested Cobb–Douglas–CES preferences

I'm trying to understand the following paper: Hsieh & Ossa: A global view of productivity growth in China (2016). The pdf can be found here: https://faculty.chicagobooth.edu/chang-tai.hsieh/...
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Kyle Models - Information Asymmetry - Certainty Equivalent

I have some significant questions that I am dealing with, but I only want the intuition behind of them. I would be grateful if someone could help me. Where should I find some precise definition of ...
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Moral hazard, bubbles, and economies of scale in limited companies and organizations

http://eprints.lse.ac.uk/100058/1/Goodhart_CEPR_DP13494.pdf What would be the disadvantage of limiting the liability to the product of the proportion of the company and the debt(a person with 2% of a ...
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Is a proft tax not distorting unless we know the opportunity cost?

A Profit tax where we actually know the Entire Cost Function Including the Opportunity cost(Time, Incommodation, best alternative for the easily monetized resources etc) is not distorting. But the ...
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1answer
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The notation cl co (A)

I stumbled upon this notation, (cl co(A+C), while reading "Set Optimization—A Rather Short Introduction" by Andreas H. Hamel, Frank Heyde, Andreas Löhne, Birgit Rudloff and Carola Schrage. Is it ...
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Gorman Polar Functional Form . Question

The Stone-Geary expenditure function you derived in part (a) of the preceding exercise is a special case of the Gorman polar form: e(p, u) = a(p) + ub(p), where a(p) and b(p) are both linear ...
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263 views

Cobb-Douglas production function with expenditures rather than units

I want to estimate a standard Cobb-Douglas production function of the form $ Y=AK^{\alpha}L^{\beta}$. However, I only have data on labour expenditures, not units of labour. I don't have data on the ...
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1answer
27 views

Quantity theory of money: microfoundations

The quantity theory of money states the price level is proportional to the amount of money in circulation. That is, if the quantity of money increases by some factor $k$, the price level will increase ...
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1answer
42 views

What is the graphic intuition behind Marginal rate of subsitution

So I think I understand the math, but I don't understand the intuition on a 3d graph. Why does the ratio of partial derivatives give us a tangent line on a level curve(indifference curve)? My ...
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1answer
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finding optimal values of quantities through utility function when MRS is 1 and price ratio is 1:2

so this is a somewhat simple question but im stumped, here's why: given the utility U=2$X_1$+2$X_2$ where $P_1$$X_1$+$P_2$$X_2$=20 and $P_1$=0.5$P_2$ the question asks to find optimal values of $...
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Reservation utility in moral hazard theory [closed]

I was wondering how to compute reservation utility in this example of insurance theory. My understanding is that reservation utility considers the case without insurance. utility function is $U(w) = \...
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If the government introduces import quota will prices change for imported goods

I am currently going through an introductory course to microeconomics. We are discussing how government interventions result in inefficiencies and dead-weight losses. One of the questions in concern ...
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two monopolies two markets

There is two similar monopolies and two similar markets, each monopoly stray from its market pays extra cost for producing in the other market, i understand that each monopoly will not stray and keep ...
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Cobb Douglas, Budget Line, Demand function question

use the general form of the Cobb Douglas utility function $U(x,y)= (x^a)(y^b)$ and the budget constraint in the form $B=p_{x}X + p_{y}Y$ to find the demand functions for good x and good y. Is this ...
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1answer
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Production technology of $y=2x$

I have a given product $y$ that is produced by the input $x$ in the following relation: $2x=y$. In our example, we are given the unit price of $x$ is $16$. Find the unit cost of $y$. The answer is $8$....
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Calculating equilibrium in a cobb-douglas long run, perfect competition scenario

Supposed there are a fixed number of 1000 identical firms in a PC industry, with each producing the same fraction with the same production function $$q_{i} = \sqrt{K \cdot L}$$ And market demand is ...
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1answer
42 views

Representing preference orderings over a finite set of outcomes by two payoffs

I have read the following statement and I am having difficulty understanding the second part: Any set of preference orderings over a finite set of outcomes can be represented either by ...
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1answer
41 views

Mathematical framework for modelling the relationship between price and sales of a product

In my job as a data scientist, I am required to model the relationship between the price of a product and the sales or number of unit sold. I am trying to build a simplistic model, the assumptions of ...
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2answers
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How to deal with misspecification of models in Macroeconomics?

I'm wondering what methods are used in economics, specially in macro, to deal with model misspecification. I've already searched the web, but I may be missing some methods. Therefore, I ask you for ...
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1answer
56 views

Direct revelation mechanism's sets of strategies and types

Mas-Colell, Whinston and Green in Microeconomic Theory describe the direct revelation mechanism as it follows: The employed notation is the following: $θ_i$: Player i's type $Θ_i$: Set of types for ...
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31 views

Are marginal utilities or utilities compared?

Consider decision making in an economic model. Suppose that there is some utility and it is a function of consumption and leisure where leisure is full-time work, part-time work, or full-time ...
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1answer
21 views

Market Clearing with Dividend and Investment

In pure exchange GE models, a typical goods market clearing condition for good $n$ looks like: $$\sum\limits_{i=1}^Ic_n^i=\sum\limits_{i=1}^Ie_n^i.$$ Consider a model with production where firms can ...
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1answer
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Difference between social choice function and mechanism outcome function

Mas-Colell, Whinston and Green's Microeconomic Theory (3rd edition) defines the social choice function as the following: Later, the mechanism outcome function is also defined: The relationship ...
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1answer
48 views

How does expected utility theory treat losses?

I've been reading about prospect theory lately and have read often that prospect theory predicts people will be risk averse in gains and risk seeking in losses. This statement is typically ...
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What is the trade-off between? Consumption and Leisure or Income and Leisure?

When first presenting the utility function and its arguments, textbooks typically start by stating that utility is a function of consumption and leisure. See for example https://sites.hks.harvard.edu/...
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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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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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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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1answer
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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1answer
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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
79 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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30 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
44 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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1answer
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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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1answer
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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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1answer
29 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

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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1answer
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
54 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
56 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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1answer
19 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
36 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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1answer
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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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1answer
79 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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31 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
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 ...