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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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0answers
13 views

what these indiference curves represent?

Can somebody please help me in understanding the image below, I'm a newbie in microeconomics. Thanks!
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8 views

Consumers in the Marketplace

3 questions: How to use income and cross price elasticity to develop pricing strategies in relation to consumer income, substitutes and complements? How can total revenue be improved by ...
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15 views

Effect of Tax on Equilibrium

I need help visualizing this: Suppose the movie theater industry in a city is an increasing cost industry. It is initially in long-run equilibrium, but then a per-ticket tax of $1.00 is placed on ...
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14 views

Purchasing Power Parity and Baskets of Goods

On the exact definition and understanding of "purchasing power parity" it depends what it means when the World Bank defines the “extremely poor” people of the world as those who are currently ...
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11 views

Why was reform of Chinese State owned enterprises needed?

Why was reform of Chinese SOE needed in the mid-1990s? And how did the government go about implementing these reforms? I've read a bunch of texts on this stuff, but a high-level explanation would put ...
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1answer
24 views

Relationship between expected utility and independence axiom

Jonathan Levin in "Choice under Uncertainty" wrote in Theorem 1 " A complete and transitive preference relation on a set of lotteries P satisfies continuity and independence if and only if it admits ...
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19 views

Homothetic preferences linear in income

How to prove that $x(p,I)=I \cdot x(p,1)$? I would favor an argument based on showing that these are the $argmax$ to different problems and they coincide rather than using the fact that the MRS are ...
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26 views

How to draw the graph of $ u(x) =min\{x_{1}, x_{2}\}$ and $ u(x) =max\{x_{1}, x_{2}\}$?

Given the utility function $ u(x) =min\{x_{1}, x_{2}\}$, and $ u(x) =max\{x_{1}, x_{2}\}$, I know that the indifference curves look like an L shape and inverted L-shaped, respectively. However, I don'...
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1answer
31 views

How to find change in the optimal choice with a utility function in general form?

Suppose the utility function is represented as $U(x_1,x_2;I)$, where $I$ is the level of information the consumer possesses. How to find the change in the optimal choice of $x_1$ as price of $x_1$ ...
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1answer
27 views

Why might a monotone increasing but nonlinear transformation of a utility function not represent the same preferences?

According to a textbook, a monotone increasing but nonlinear transformation of a utility function might not represent the same preferences. Why is it so? An example of such preference would be ...
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2answers
216 views

Finding demand functions for an unusual utility function

I have a utility function: $U = x + \min\{x,y\}$ I want to draw the indifference curve and find the demand functions. Will it be the case of the usual perfect complements? Also, what preferences ...
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15 views

Would households rather live in a world with or without the unemployment insurance?

Would households rather live in a world with or without the unemployment insurance? What is a good example of world in which unemployment insurance is seen as a benefit, and not a hindrance?
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1answer
37 views

Why is a monotone increasing but nonlinear transformation of a utility function not represent the same preferences if the preference is complete?

According to a textbook, in the context of uncertainty (e.g. in lottery), if the preference is complete, a monotone increasing but nonlinear transformation of a utility function would not represent ...
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1answer
32 views

Why income elasticity of demand of luxury good in greater than 1?

According to textbook and wikipedia, "if income elasticity of demand of a commodity is less than 1, it is a necessity good. If the elasticity of demand is greater than 1, it is a luxury good or a ...
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19 views

What is meant by lump sum tax being non-decreasing in per unit tax?

While I have proven the first part of a question about showing that a consumer will be indifferent between a lump sum tax (T) and a per unit tax (t), I have to also show that T is non-decreasing in t? ...
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34 views

How to prove that the walrasian demand function $x(p,w)$ is continuous in $p$ and $w$?

If the utility function $u$ is continuous and satisfies local nonsatiation, and walrasian demand function $x(p, w)$ is a function (i.e. always map to only single values), how to prove that $x(p,w)$ is ...
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25 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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What is the savings rate formula in a generic OLG economy with a Pay As You Go pension system?

What is the savings rate formula in a generic OLG economy with a Pay As You Go pension system?
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Overlapping Generations Model Pension System Question

Part 1 Pension System OLG Model with pension system: Each individual lives up to two periods. The surviving probability at period 2 is p. At period 1, the young household consumes c1, saves s1, and ...
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1answer
24 views

Why does strictly Walrasian demand with quasi-concave utility function mean that the walrasian demand having only one single consumption bundle?

In the context of Walrasian demand: Suppose u is continuous, satisfies local nonsatiation, and is strictly quasi-concave, each $w(p, x)$ contains a single consumption bundle. The proof I got from a ...
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1answer
45 views

Check if a utility function represents a monotone preference

Given a function $u(x_1, x_2) = x_1 +x_2 + \min(2x_1, x_2)$, how do we mathematically prove that it monotonic or not? Is there is a general algebraic technique to show monotonicity of suchlike ...
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13 views

Numerical Solution Using Excel about optimal consumption of households

I'm not sure how to solve this problem. I'm given the discount factor, interest rate, probability of high income shock, and various income shock sizes that I need to use to compute optimal consumption....
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1answer
22 views

Deriving demand function in case of multivariable utility functions with min and max structures

Suppose I have utility function like this: $u(x_1,x_2,x_3)=min\{x_1,a-x_1\}\times min\{x_2,b-x_2\}+x_3$ where a and b are real numbers and $x_1\in [0, a]$ and $x_2\in [0,b]$. What will be a procedure ...
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2answers
89 views

Algebraic approach towards convexity

I have a function: $ u(x) = x_{1} + x_{2} + \min\{x_{1}, x_{2}\}$. How do we algebraically show if it's convex or not? Also, what would be the general way to show if any given function is convex.
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1answer
33 views

Does non-monotonicity imply non-satiation always? Why or why not?

I understand that monotonic preferences imply non-satiation. But I am not sure 100% if non-monotonic functions always have satiation. An intuitive and mathematical explanation would be very helpful.
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1answer
44 views

Local non-satiation in economics

I am having trouble completely understanding the mathematical definition of non-satiation. I have stated the definition from Wikipedia below. It would be great if someone can graphically explain. ...
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1answer
18 views

elasticity of income if price changes by 10 percent

Arista always spends 10 % of her income on whatzits. Assume that her income increases by some percentage while the price of whatzits remains constant (and that all whatzits cost the same). What is ...
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1answer
54 views

Consumer Theory question [on hold]

You plan to use the following specification for an empirical study: $$e_i = \alpha_i + \sum_{j=1}^{n} \beta_{ij}p_i + \gamma_iy +\delta_i, i=1,...,n$$ where $e_i$ is the consumer's expenditure on ...
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1answer
37 views

Why does the profit function in standard neoclassical theory have exactly one maximum?

In neoclassical theory is said that the highest profit occurs when Marginal Cost equals Marginal Revenue, but this condition wouldn't be enough to determine the maximum if there were more than one. ...
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10 views

calculating socially optimal level of consumption [on hold]

Assume the private marginal benefit from a good can be represented by the inverse demand equation, P=100−Q. Assume the private marginal cost of producing the good can be represented by the supply ...
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1answer
39 views

nash equilibrium public good - is this correct?

Two players, 1 and 2, simultaneously choose their consumption of a public good. Given the consumption choices, g1 and g2, player 1 derives a marginal benefit of MB1 = 10 - (g1 + g2), while player 2's ...
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16 views

Compensated demand function for perfect complement indifference curve

For example, the indifference curve for goods $A$ and $B$ is $min$. How should I express its compensated demand function if the quantity of A does not depend on its price because of the zero ...
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1answer
58 views

Log Utiliy Function Trick

I am watching Lecture 3 of Yale's Financial Theory Lecture (by John). At about minute 50 he explains something along this line (with reference to log utility functions). MUx/Px=MUy/Py And ...
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29 views

Why is the opportunity cost 0 in this case?

My book says that the opportunity cost of purchase of a specialized equipment that has no alternative use is zero and hence such an expenditure is a sunk cost. However, while calculating the user cost ...
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26 views

Change of demand curve

I am supposed to solve the following problem: The price of coal oil is increasing more than 1%, due to the annoucment about decreasing the supply of coal oil on the market. How it will effect curve ...
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3answers
48 views

utility function always negative

In a problem set, I found a strange utility function: $U(c)=-1/2(c^* - c)^2$, where $c^* =$ positive constant level of consumption. Does this function have economic sense?
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open economy, and reduced world market price [closed]

Can someone help ? :) Suppose that a small, open economy that exports labor-intensive goods experiences a reduced world market price for its export goods. Explain the effect this fall in prices ...
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0answers
14 views

Under what conditions should I use a Social Accounting Matrix Model vs. Multimarket Model vs Computable General Equilibrium Models?

What are the differences between the SAM, multimarket and CGE models. When should I use one over the others?
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How can I model the impacts of improved agriculture technologies and food aid in a multimarket model?

Given a multimarket model for staple agricultural commodities wheat, rice, maize and sorghum, in a low-income economy, Im trying to figure out how I can use the multimarket framework to look at the ...
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1answer
110 views

Derive demand function $x(p,w)$ from utility function $u(x) = \min\{x1, x2\} + x3$

I know how to solve the two-good case with $u(x) = \min\{x1, x2\}$, but the addition of $x3$ confuses me. Problem Derive the demand function $x(p,w)$ from $u(x) = \min\{x1, x2\} + x3$ What I did ...
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0answers
18 views

Is oil supply really inelastic in the short term

Is oil supply really inelastic in the short run? Though it remains evident that in the short run, the known capacities of oil can't be increased and hence we can assume that there remains a upper cap ...
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0answers
9 views

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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1answer
31 views

Prove that $h(p,u) = \nabla_p e(p,u)$ is implied by Roy's identity

I am struggling a bit with the math in my first graduate microeconomics course. I'm not sure if this belongs here. If it doesn't, please direct me to a more appropriate place. Below is one question ...
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0answers
36 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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0answers
14 views

CPI Bias with consumers using computers extensively

I was studying Microeconomics from Microeconomics by Pindyck and Rubinfeld where it was written that CPI calculated on Laspeyres index has overstated the cost of living for consumers who use computers ...
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1answer
65 views

Identifying utility function

I recently came across a utility function with min written at the start. I assumed that it was a case of a leontief utility function, and only after going ahead with the problem I found out that it is ...
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2answers
53 views

profit-maximization

I'm having trouble on my homework and I need some help. A company sells products in a perfectly competitive market, where the price is $p = 24.$ For each of the following cost functions, write down ...
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0answers
23 views

What guarantees that endowed agents have non-zero prices in an Arrow-Debreu Economy

In my research I am trying to find minimal conditions to guarantee a quasi-equilibrium must always be a typical Arrow-Debreu equilibria in a rather specific production setting. This may be rather ...
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1answer
26 views

Returns to Scale [on hold]

Consider a firm with the production function $y=CL^{a}K^{b}$, where $C>1$, $a>0$, $b>0$. Write down the conditions under which this production function exhibits: i) increasing returns to ...
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25 views

Is this utility function continuous?

$u(x_1,x_2)=|x_1 −2|+x_2$ Is this function continuous? PS: The continuity theorem I use is this: Whenever for any $x^n$, $n \in N$ with $x^n \to x$ (i.e. $\lim_{n \to \infty} x^n = x$) and for any $...