# Questions tagged [consumer-theory]

the study of consumer choice and its fundamental underpinnings in preferences and constraints.

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### Does the duality of utility maximization and cost minimization hold in practice?

I recently learned about the relationship between utilization maximization and cost minimization. Are there studies on whether this duality holds in real life? Any information on this topic for a ...
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### Mathematics of the income and substitution effects

I have recently been learning about the concept of utility and the indifference curve. I am having some problems understanding the effects on consumption of two goods $X$ and $Y$ of a change in the ...
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### Whether a good is a Giffen good should be based on circumstance?

The textbook example of a Giffen good is the potato during the Irish Potato Famine. It is characterised by a positive income effect that is larger than the negative substitution effect when the price ...
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### Marshalian and Hickisian Demands and Slutsky Equation

everyone. I have the following question: A consumer has the following indirect utility function: $V(p_1,p_2,b) = (p_2k-b)p_1^{-1} \left[ \frac{2p_2k - 2b}{p_2} \right]^{-2}, x_2 < k$ a) Find ...
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### How has decreasing quality (or the need to pay more for the same quality) tracked with inflation?

I'm trying to identity a missing variable that could affect poor and middle class consumers more than more wealthy/resourceful individuals. Assuming that there are decisions regarding cost reductions ...
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### Price-consumption curve

Suppose a consumer whose income is $b$ has a utility function given by $U(x,y) = 2xy+y^2$ with the price of $x$ being $p_x$ and the price of $y$ being $p_y$. Draw the price-consumption curve assuming ...
208 views

### Derive demand function $x(p,w)$ from utility function $u(x) = \min\{x_1, x_2\} + x_3$

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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### Budget Constraint in Utility Maximisation Problem with Lagrange Multipliers

Lets say we have a utility function $U: \mathbb{R}^{2} \to \mathbb{R}$ given by $U(x,y)$ and a binding budget constraint $p_{x} x + p_{y} y = m$, where $p_{x}, p_{y}$ are prices of goods $x,y$ and $m$ ...
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### Optimizing Lagrangian Function Subject to 4 Input/Output Constraints:

The objective function: $$\text{utility}=U\left(x_{c}, y_{c}\right)$$ subject to, $x_{o}=f\left(y_{i}\right)$ $y_{o}=g\left(x_{i}, x_{o}\right)$ $x_{c}+x_{i}=x_{o}+x^{*}$ $y_{c}+y_{i}=y_{o}+y^{*}$ ...
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### Intertemporal consumption question

This question is driving me nuts. Suppose, an individual lives for two periods. In each period she consumes only one good,which is rice. In period 2, she can costlessly produce 1 unit of rice, but ...
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### MWG Example 3.E.1

I do not understand how Mas-Collel, Whinston, and Green derive the Hicksian demand functions in Example 3.E.1 in their textbook. Allow me to give further background regarding the problem: The ...
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### How to find Marshallian demand of $u(x,y,z)=x+y^2+2z^2$?

Consider the utility function $u(x)=x+y^2+2z^2$. How to derive Marshallian demand for a consumer with these preferences?
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### weakly preferred consumer bundles

I am currently studying consumer choice and saw that weak preference refers to when an individual prefers or is indifferent to two bundles (such as bundle A and bundle B). I was wondering what is ...
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### Is Buy Nothing Day a classist protest of Black Friday?

I hope this isn't off topic, it seems specifically economic to me even though it probably intersects with other fields of study. Black Friday is seen as an iconic hallmark of consumerism, and Buy ...
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### Corner solution of the maximization problem

Answer Hello, I upload the actual question with my 8-pages answer. Please can you check it. Is there a corner dissolution for $c=\gamma$. Please share your ideas. Thanks.
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### Utility function used to indicate bliss point

How does one create a utility function to indicate existence of a bliss point? what do the goods marshillian demands look like in such a situation?
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### Special case for wealth allocation with quasilinear utility functions

Building on this question, regarding the answer from Bkay: Is it a general statement that when $m < \frac{p_y^2}{4 p_x}$, all income will be allocated to $x_M$? What about the case when the ...
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### Change in Consumer Surplus with two goods

Suppose we have two goods, price changes in the two are independent; having seen this question I am considering why the change in total Consumer Surplus is the sum of the change in Consumer Surplus ...
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### Are there any other rational preference relations without utility function representations, besides Lexicographic?

It seems like lexicographic isn't that "special". Like yes it is special in that supposing it has a utility function gives you a bijection from the rationals to the reals, but I mean unique in some ...
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Given $u(x_1,x_2)=4x_1+14x_2$ and $m=\frac{1}{2}x_1+\frac{3}{2}x_2$, I shall choose the optimal decision among: $a)(2m,\frac{2m}{3})$ $b)(2m,0)$ $c)(\frac{m}{2},0)$ $d)(0,\frac{2m}{... 2answers 303 views ### Finding demand functions for an unusual utility function I have a utility function:$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 ... 0answers 20 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? 1answer 61 views ### Consumer Theory question [closed] 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 ... 1answer 64 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 ... 1answer 97 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 ... 0answers 17 views ### Index Theorem for Regular Infinite-Agent Economies A formulation of the Index theorem states that for a regular economy:$\sum_{p | z(p) = 0, p_L = 1} index p = +1$Does this hold for models with uncountably many agents? 1answer 40 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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### 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 ...