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 are Frisch Demands useful for?

Frisch demands are demand equations found usually in an intermediate step of the standard utility maximization problem. By example for the basic two-good case of a consumer with quasilinear ...
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81 views

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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34 views

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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34 views

Can I use the released data on AER and JPE in my own research without permission?

I don't think JPE has suggested a specific license. However, the journal did say that the data policy is adopted from American Economic Review (AER). AER did suggest a license of Creative Commons ...
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25 views

What does the elasticity say about the fraction of total cost used on input 1?

A firm have the following production function $$ y=x_{1}^{\alpha} x_{2}^{1-\alpha}, \quad 0< \alpha < 1 $$ $w_1>0$ is the cost of input 1 and $w_2 > 0$ is the cost of input 2. (1.1) ...
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Efficiency-related reason for net social benefits from income taxation

Found a question that I cannot really find an answer to. I am being asked to consider an economy with many households and assume that the government can only generate revenue by taxing households' ...
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85 views

Determine if goods are substitutes or Complements based on demand function

So I have a consumer with a utility function of the Cobb-Douglas form $v(x_1,x_2)=x^{\frac{1}{2}}_1x^{\frac{1}{2}}_2$. From that I constructed the demand function for good 1 and good 2: $x_1=\frac{1}{...
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2answers
191 views

Questions about the Edgeworth box

I have some doubts about the Edgeworth box, it's a newbie one so thanks in advance for the patience. In case, I'm confused if we can count the root of the contract curve (point M) as one of the ...
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36 views

Two different definitions for a Complete Relation

Many sources show this definition for completeness of a relation $$ \forall a, b \in A, a \neq b, (aRb) \text{ or } (bRa) \tag{1} $$ Others show only $$ \forall a, b \in A, (aRb) \text{ or } (bRa) \...
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51 views

Does quasilinear preference contain rationality, monotonicity or other assumptions?

I have a question when I'm doing exercise 3.C.5(b) of MWG. The exercise asks to prove that a continuous preference on $(-\infty,\infty)\times R^{L-1}_+$ is quasilinear with respect to the first ...
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30 views

The centralized shift from barter to currency economy

Suppose some ancient king of small bronze age city-state wants to introduce universal currency instead of barter that is currently in overwhelming practice in his kingdom. In order to smooth the shift,...
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Perturbation Constraints for Excess Demand

It is my understanding that for regular economies, equilibrium indices and number are preserved under perturbations, typically conceived as some point-wise translation. Does this hold under any ...
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59 views

Elasticity of substitution

So, this is an economics question but the problem I have is a pure math problem I guess. So I have the following equation:f(x,y) this function have the elasticity of substitution(EOS): 1/(1-beta). a,...
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29 views

Has contest theory ever been used to design real-world contests?

Contest theory, very much like auction theory, studies how people act in a contest and the properties of such a competition. There is a large literature that investigates different aspects of the ...
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43 views

Quasilinear utility: if $x \succeq y - ae_1$, does it mean $x + ae_1 \succeq y$?

Quasilinear preference is defined to be: $x \sim y \Rightarrow x+ae_1 \sim y+ae_1$ and $x + ae_1 \succ x$ with $e_1 = (1,0,0,...)$, Given a quasilinear preference, if f $x \succeq y - ae_1$, does ...
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Difficulty Understanding CPI (Consumer Price Index)

Here's a question about CPI in my microeconomics text (Pindyck), which I don't seem to understand: The price of computers has fallen substantially over the past two decades. Use this drop in price ...
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19 views

Is expensive private school a rational investment?

In Australia, successive conservative Federal governments have increased the share of public funding for non-government schools, and for the top schools the amounts of annual funding are many millions ...
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62 views

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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40 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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38 views

Rotation of Quasilinear Utility

Let $u(x,y)=f(x)+y$ be a quasilinear utility. Now we rotate it by 45 degrees, (such that the $x-$axis becomes the direction of $(1,1)$) $v(x,y)=f(x-y)+x+y$. Is $v$ also a quasilinear utility? What is ...
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38 views

Integrability of Demand

I wondered if someone would be willing to provide an intuitive presentation of the so-called integrability of demand/integrability conditions. My own knowledge of these conditions is that they're ...
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155 views

On complements and substitutes with a CES function

Define the CES function $q : \mathbb R_+^n \to [0,1]$ by \begin{align} q(x) = \left[\frac{1}{n}\sum_{j=1}^n{x_j^\frac{\sigma-1}{\sigma}}\right]^\frac{\sigma}{\sigma-1} \end{align} where $x \in \mathbb ...
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10 views

Have any economics papers used unified cure models?

Does anyone know if there are unified cure models (aka split population models) in time-until-employment studies that combine the mixture cure approach with the promotion time approach as described in ...
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55 views

Cournot competition subgame perfect Nash equilibrium with two products

QUESTION: Assume there are two types of products, labelled $l$ and $n$. Firms compete in the market by choosing which product to sell and then choosing the quantities. Let $Q_n$ and $Q_l$ denote the ...
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326 views

What is the difference between imperfect substitutes and complements in a production function?

According to the following definition: ...
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45 views

Economics of Selling Software

My understanding: Normally, selling a product has an increasing marginal cost per unit produced. Very often this increases more and more due to poor allocation of resources (diminishing returns). ...
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50 views

Take It Or Leave It Strategy: Social Optimum

Here is what I understood Using Backward Induction, I inferred that buyer offers a price, say, $P$ and the seller will sell only if $P \geq c(I)$. Setting the lowest possible Price that will ensure ...
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28 views

supply-demand imbalance

I have a basic question What are the different means/mechanisms available to address supply-demand imbalance? The answers that come to my mind are : Using pricing (when demand > supply) Using ...
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44 views

Understanding the proof using the mean value theorem

This is from Hopkins and Kornienko (2004) : Running to keep in the same place. The above proof is for the proposition 1 in this paper. I don't understand how the mean value theorem is applied in this ...
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28 views

The Crisis of Argentina

newbie here. Q1 - What needs to be done by the Argentinian government for their currency to regain back its strength? Q2 - Why has the Argentine Peso depreciated against the U.S Dollar for more than ...
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317 views

Real world examples of supply curve shapes

I get the basic intuition that at higher prices, produces would be willing to produce more, but I feel like theory can only take my understanding so far. I want to know what are the real world ...
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40 views

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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208 views

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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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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35 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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51 views

Lagrangian multiplier

Consumer's problem \begin{equation} \max \sum_{t}\beta^{t}[c_{t}-1/2(1-x_{t})^{2}], \end{equation} \begin{equation} \ s.t. c_{t}+q_{t}b_{t+1} \leq (1-\tau_{t})(1-x_{t})+b_{t}, \end{equation} where c=...
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106 views

Vertical Marginal Cost curves

When would a marginal cost curve be vertical? I understand this happens when the marginal cost jumps, from say 0 to 100, but in such a case, I think there should be a discontinuity rather than a ...
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1answer
204 views

Calculate optimal discount for product bundling

So recently I made some rules with my transaction data. Based on it I can determine which products are profitable to bundle it together. But even though I know e.g. product A→ product B, are there ...
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517 views

Quasi-linear Optimal Consumption Bundle

I have a question involving optimal consumption bundles for quasi-linear preferences. Utility is given by $$U(x_1,x_2) = 16\sqrt{x_1} + 2x_2$$ and $p_1 = 8, p_2 = 4, I = 30$. What I have so far ...
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48 views

Anscombe and Auman Expected Utility

I would like to hopefully get some insights on the Anscombe and Aumann Expected utility. I've read some proofs and understood the Expected Utility Theorem (VNM) which allows us to approach consumers ...
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40 views

Elasticity of Substitution between 2 factors, without knowing relative prices

I'm trying to figure out the elasticity of substitution between input $s$ and input $v$. I know that the marginal rate of substitution between these two inputs are $\frac{v^2}{s(v+k)}$, where $k$ is ...
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23 views

Why is the expected value conditional on the trade taking place in an adverse selection problem?

I have been asked the following question, and I don't understand why the expected value of the firm is conditioned on the trade taking place. "Suppose that a firm owns a business unit that it wants ...
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35 views

Law Of Variable Proportions

In the Law of Variable Proportions, it is said that a producer prefers to work in the second phase where it is the phase of diminishing returns while number of variable factors are increased. But ...
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1answer
89 views

Contribution by each factor

Must admit it has been many years since I have done advanced calculations or anything remotely like it, so please bear with me. I have problem that I hope to get some help with. Say I have below ...
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28 views

Regression on derived consumer preference

I have a data set with some demographics of consumers who bought a product that can be used to imply their preference (beta) using Cobb-Douglas (see comments of original question). I’d like to check ...
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104 views

Signaling questions (separating equilibrium)

Consider two firms Inverse functions: $p(q)=max\{a-q,0\} $ $q$ is total production and a is positive constant. This value of a takes two values ah=2 (high demand) and aL=1 (low demand). Their ...
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what is the project monitoring and impact analysis(PMIE)?

what is the project monitoring and impact analysis(PMIE)? Can anyone explain basic features of this?
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21 views

Model of sales of a new product

I am looking for any popular model to calculate sales of a new product under the assumption that some goodnesses of the product are given. For example, the novelty $N$ and usefulness $U$ of a new ...
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41 views

Charging a minimum increment on the second price in online advertising auctions

Many ad servers running GSP auctions tend to charge a $0.01 increment on the second price. I was wondering if there was any theoretical basis for this, or is it just a way for ad servers to make a ...
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223 views

Firm's profit max problem, in present value terms

So I am kinda stuck on this question. The question goes as follows: Consider a multiperiod firm, selling q1 units of a product in period t=1 at spot price P1 and q2 units in period t=2 at spot price ...

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