# 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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### The core and competitive equilibrium

Can someone please explain why the concept of a core is equivalent to a competitive equilibrium? I am just writing a term paper for my matching theory class and I'm having a hard time following along ...
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### Is the expected utility the inverse of the utility function?

Can somebody explain to me if that it's true and also graphically explain it?
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### Triple Difference model using Repeated cross-sectional data

I have a repeated cross-sectional data from the Demographic and Health Surveys. And I want to run a triple difference model, along the lines of Yelowitz (1995). My identification strategy is such that ...
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### What does an interior Pareto-efficient allocation looks like in this set up?

"Had a question on a mid-term paper yesterday (now submitted). One question stumped me a little bit. In particular the "interior Pareto-efficient allocation" part stumped me (I'll ...
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### Integral solution (or a simpler) to consumer surplus - What is wrong?

Problem Given demand $D(p)=A-ap$, and $A,a>0$ and a fixed price $0<p_1<A/a$ by some company. Calculate the consumer surplus and its derivative with respect to $p$. What is this number? My ...
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### Identifiability of Non-Parametric Utility Function?

I recently learned that EU characterized by independence and weak ordering is identifiable, but a utility function like: $U(x)=v_1(x)v_2(x)$ is not identifiable. Does it mean that "cardinal ...
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### Effect of price on utility

A consumer has an endowment vector $w$; at prices $p$ his demand for the first good exceeds his endowment; $x_1^+(p; pw)>w_1$ then a small increase of $p_1$ will lower his utility. I was discussing ...
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### The current economic understanding of the effect of labour unions on employment and wages

What are the currently largely accepted views on the effect of labour unions on employment and wages? Where can I read more about the currently established theoretical models that model labour unions?
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### If a rational preference relation over simple lotteries $\succsim$ are convex then they satisfy independence?

Let´s say there is an uncertain situation with $N$ possible consequences $C = \{C_1, . . . C_N\}$. Assume that there is a rational preference relation $\succsim$ over simple lotteries. I know that if ...
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### What makes a company too big to fail?

I have read the too big to fail Wikipedia and as far as I understand, a company is too big to fail (and thus will receive government bail-outs) if it's failure has a significant impact on an important ...
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### Walrasian demand with a twist of Leontief function

A consumer has the utility function $u(x_1; x_2) = \min(x_1; x_2) + 5 \max(x_1; x_2)$. Find its Walrasian demand $x^*(p; w)$. I've tried searching it up when we have two Leontief functions summed ...
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### Expenditure function

Let $u (x) = \prod_{{i\leq n}}$ $(x_i-m_i)^{a_i}$, where $m_i\geq$0 and $a_i\geq$0, Σ$_{{i\leq n}}a_i=1$ show that the expenditure function $e(p,u)$ is linear in $u$. Based on the definition of the EF,...
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### How would a firm increase price in such a scenario?

I have the following question: If a firm with a lower marginal cost wants to increase prices in a homogenous goods industry in which demand is perfectly inelastic and supply is in excess, what should ...
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### Prove the equation

Let $$x^0=x^*(p^0,w)$$ then $$v(p,px^0)$$ is minimized at $$p=p^0$$ What theorem are we supposed to use in order to solve this, because I am a bit lost. Thanks in advance for all the suggestions/help....
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### Who is losing in an arbitrage?

When some entity takes advantage of an arbitrage opportunity, who is losing money? For example, when there are price differences across cryptocurrency exchanges and someone exploits an arbitrage ...
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### Proof of certainty equivalence

The questions say two lotteries are denoted L1 = (0.3,0.7,0.0) and L2= (0.9,0.0,0.1) and denote c(L1) and c(L2) the certainty equivalents of those two lotteries. Then prove L1 ≻ L2 if and only if c(L1)...
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### Utility functions and positive monotone transformations

We let $g(z)$ be a strictly monotonous function so: $$\frac{dg(z)}{dz}>0$$ Consumer 1 has preferences given by the utility function $u(x_1,x_2)=ln(x_1)+2ln(x_2)$, while consumer 2 has preferences ...
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### Quadratic utility: monotonicity and risk aversion

I am taking macro class this fall. One of the problems asks whether decreasing absolute risk-aversion and ever-increasing consumption are two unattractive implications of the quadractic utility ...
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### How to find $\phi$, that denotes the correlation of signals among informed traders?

Since I do not have an answer on Quantitative Finance in my question I cross-post here the problem to tag some other categories The following assumptions are part of the paper of Back, Chao and ...
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### Prove that if a good is inferior, it is also a Giffen good [duplicate]

This was asked in my online midterm test, and I proved it using the fact that a Giffen good and an inferior good behave in the same manner with respect to increase or decrease in purchasing power. ...
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### Question about the Law of Supply

I have a contention with the Law of Supply's dictum "if the price of a good falls, then the quantity supplied of that good falls, ceteris paribus." Imagine a market for widgets produced by ...