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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26 views

Optimal pareto in two-person game

For what values $x$, $y$ the profile $(D,L)$ is Pareto optimal? \begin{array}{c|ccc} & L & R \\ \hline U & x,5 & x+2,y \\ D& 1,-1 & x,0 \\ \end{array} Is correct $x<1$ ? ...
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Compound lottery preference implies simple lottery preference

Suppose $\alpha>\beta$ and for two lotteries $L, L'$ $\alpha L + (1 - \alpha)L' \succ \beta L + (1- \beta) L'$ where $\succ$ implies preference. If the independence theorem holds, how do you ...
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952 views

The Sonnenschein-Mantel-Debreu results, what are the implications for macroeconomics?

I have always wondered why such a negative result such as Sonnenschein–Mantel–Debreu theorem (SMD) theorem is usually ignored or disregarded by practitioners, specially in macro. The result roughly ...
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2answers
73 views

SMD and Lucas critique

One of the consequences of Lucas' critique is that models must be microfounded. On the other side, Sonnenschein-Mantel-Debreu (SMD) theorem claims that microfoundation doesn't have any repercussion on ...
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26 views

Condition for a Nash equilibrium

Consider two people have a mutually advantageous relationship. That is, if both dedicate more effort to the relationship both improve. Specifically, each individual chooses a level of effort $x_{i}\...
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3answers
71 views

Why is demand curve always going down?

In many economic charts with demand and supply curve, people often say the demand curve goes down with more quantity. But I will give you a really practical example, why I think they are wrong. ...
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2answers
38 views

Market baskets: cross-border comparisons

The concept of a market or consumer basket is quite intuitive. I assume a market basket for a given country tells for which goods an average person spends how much of her money. To be able to compare ...
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1answer
78 views

Insurance and Hirshleifer effect

I am trying to understand the statmement that 'public information kills insurance opportunity' -- referred to as Hirshleifer effect. Does it (in general) lead to some undesirable outcomes? Could you ...
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Asymmetric Nash Bargaining

The Nash bargaining solution selects the unique solution to the maximization problem $\max_{s_1, s_2 } (s_1 - d_1) (s_2 - d_2)$ such that the solution satisfy the following axioms : Invariance ...
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1answer
17 views

Under what conditions should the External Rate of Return (ERR) be used instead of Net Present Worth (NPW) and vice versa?

I have just read the concept of both Net Present Worth (NPW) and the External Rate of Return (ERR). This is what I have understood of these two values: NPW is the net discounted value of all the cash ...
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68 views

Why marginal revenue must equal marginal cost?

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1answer
33 views

Credible Threat in the Perfect Bayesian Equilibrium

Consider a simple game between P1 and P2 shown in Figure 1. We consider a Perfect Bayesian Equilibrium. P1 uses a cutoff strategy based on his $c_1$ that has the Cumulative Distribution Function of $...
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55 views

Expected Utility with expected value and variance

I'm having trouble with a question from Ariel Rubinstein's book, Lecture Notes in Microeconomic Theory. It's the problem 2 from Problem Set 7. Here's the question: Show that the utility function $u(...
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2answers
113 views

Rigorous solution of Stackelberg leader-follower game with N-players?

In the classical two-player Stackelberg game (sequential Cournot) we have a linear demand function $P = 1 - Q$ where $Q = \sum_0^2 q_i $, and we assume homogenous production cost $c$. By starting from ...
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2answers
82 views

If $X$ is a Giffen good then $Y$ must be a normal good

While going through some problems as part of self-study I encountered the following True/False question: Q. Steven only consumes two goods: $X$ and $Y$. If $X$ is a Giffen good for Steven, then $Y$ ...
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India as center region of foreign powers for storing nuclear and space weapons [closed]

India have recently imported many billion dollars worth weapons from a number of foreign countries which are against sanctioned loans.will it not adversely affect India's economy?It seems India is ...
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1answer
94 views

WARP implies completeness, transitivity and thus rationalizability. What is wrong with the statement?

Let $A$ be a menu and $R$ be a complete and transitive binary relation. Define choice correspondence generated by $R$: $$c_R(A)=\{x\in A|| xRy \ \forall y\in A\}.$$ Theorem (from Kreps 1988): for ...
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Prove that in presence of many goods, the law of DMRS implies that at least one good must be a net substitute for any other good

I've been reading a book where the author claims that "if there are two goods they are always net substitutes. Along an indifference curve an increase in price of good 2 leads to less of good 2 and ...
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26 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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1answer
54 views

Envelope Theorem in Hopkins and Kornienko (2010)

This is from Hopkins and Kornienko (2010). In this model, $x$ is investments, $s$ is status, and $y=z-x$ is leisure, where $z$ is endowments. $x(r)$ is the optimal investment, and the relative ...
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2answers
303 views

Stackelberg with 3 firms

I'm currently trying to solve the following problem: Stackelberg with 3 firms Imagine there are three firms on a monopolistically competitive market. The marginal cost of produc- tion in each ...
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61 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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Mathematical Micro/Macro Economics Textbook Recommendation

I was formerly an economics major and now also majoring in mathematics. I want a textbook that is rigorously based on mathematics; not just using mathematcis whenever the author wants, but in a more ...
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1answer
34 views

Obligations of a company

Any company may "feel" obligated towards several parties at once: its shareholders its employees its customers its partner companies (sub-contractors and suppliers) its country and social environment ...
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1answer
31 views

Ownership in Neoclassical Economics/Property Rights Question

I'm currently looking at New Institutional Economics and I can't get my head around the assumption of the neoclassical irrelevance theorem stated by the neoclassical economics. It doesn't matter ...
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1answer
122 views

Are monopolies always price makers?

I have the following True/False question: A single price-taking firm on the market is called a monopoly. As far as I know, a monopoly is a price maker not a price taker. That being said if it is a ...
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403 views

Deriving demand function from utility function

How do I derive the demand function from $$U=y + 2\sqrt{x}$$ Currently I have $MRS = \frac{1}{\sqrt{x}} = \frac{P_x}{P_y}$, so, $P_y = P_x\sqrt{x}$ Using the budget line: $$I = xP_x + yP_y \implies ...
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2answers
60 views

Providing subsidies affects Marginal Private cost but not Marginal Social Cost?

According to the theory that I'm seeing on the internet and in textbooks, when a government wants to correct underproduction due to a positive externality of production, they can decide to subsidize ...
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1answer
19 views

Substitution effect when price of both goods change by the same percentage

I am trying to grasp the concept of income- and substitution effects. The way, I've understood it, the decomposition bundle is found, at the original indifference curve, where the slope equals that ...
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1answer
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Is truth cheap, and falsehood expensive and volatile? [closed]

Question: In a scenario where data is bought and sold in a double-auction market, will the trading price and volatility of a given piece of data become inversely proportional to its accuracy over ...
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Afriat theorem for negative goods

GARP and Afrait theorem assume that the alternative $x\in\mathbb R_+$ is always positive. In some economic contexts, such as financial choices, the attribute can be negative. I wonder if we can ...
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1answer
29 views

Emergence of notion “primitive business” in the era of Industry 4.0 and globalization

It has always been the conventional wisdom that businesses should be fit to survive in the market competition, that only the best businesses can survive beyond horizon of several years, that survival ...
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Deriving the translog production function

Ive been having difficulty deriving the translog production function defined as: $$\ln y=\alpha_0+\sum_{i=1}^n\alpha_i \ln x_i+\frac{1}{2}\sum_{i=1}^n\sum_{j=1}^n\ \beta_{ij}\ln x_i\ln x_j $$ I know ...
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Regarding the group formation in an oil-price experiment

I'd like to have your opinion on the following; Assuming that I'm doing a research on setting the optimal price for gasoline for a company and my client wants me to perform a study on​ customers' ...
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wage/productivity, what does it show

I just confused about the fact that does wage/productivity show the wage gap? So if wage/productivity is the wage gap then by the increase in productivity the wage gap should decrease as the ...
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36 views

Homogeneity in Marshallian demand function

I have worked out the expenditure function for a Marshallian demand function, R represents a fixed cost and the questions asks about why the expenditure function is unusual. The answer explains it is ...
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1answer
23 views

Which of the following firms can operate in a perfectly competitive industry? [closed]

This was a question in a test. I am looking for an explanation for the answer. Firm A's cost of producing output y > 0 is c(y) = 1 + y Firm B's cost of producing output y is c(y) = y(1-y)^2 Answer: ...
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1answer
65 views

First order conditions in a Moral Hazard problem

Consider a principal-agent problem where effort is observable. Let $\pi$ denote profit, let $w$ denote the wage to be paid to the agent, and let $f(\pi|e)$ denote the pdf of the profit, conditional on ...
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1answer
61 views

GARP and SARP assumed mononticity?

Monotonicity means the decision maker prefer more goods than less. It is not mentioned in textbook that SARP and GARP preasumed monotonicity. GARP: if $a$ is indirectly revealed preferred to $b$, ...
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1k views

Moral hazard vs hidden information.

What is the difference between hidden information and moral hazard? I cannot understand these two terms mainly. Please explain. Thank you.
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How are preferences related to relative prices?

For instance, across regions of a country or between countries. Is that different preferences for food lead to distinct relative prices in different regions or countries? Or is it the other way ...
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1answer
68 views

Proof of monotonocity of preferences

Question from Intermediate Microeconomics by Hal Varian: "We claimed in the text that if preferences were monotonic, then a diagonal line through the origin would intersect each indifference curve ...
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2answers
98 views

Why is Marginal Cost = Price better than Marginal Cost > Price for maximizing profit? [closed]

Isn't MC>P a better aim? Given the revenue you earn from each unit is more than cost in producing each unit?
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1answer
46 views

Marginal Cost Calculation issue

I calculated the Marginal cost for the below question. But it seems the results are wrong After coming up with an innovative idea for a new product, you paid 4000 to an industrial designer to draw ...
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1answer
42 views

Why do some perfectly competitive, loss-making firms shutdown and others don't?

Question: Why do perfectly competitive, loss-making firms that have (AC>AVC>AR) shutdown but Firms that have (AC>AR>AVC) not shutdown? -Both of these types of firms are making a loss. How is it ...
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1answer
78 views

Utility Possibility Frontier with two consumers and 3 commodities

I am trying to solve the following problem: Consider a pure exchange economy with three commodities and two households with individual endowments: $$e_1=(1,2,3), e_2=(3,2,1),$$ respectively, and ...
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1answer
47 views

Calculating Price Elasticity of Demand

Hi I was given the following price vs quantity values. ...
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1answer
43 views

Why is Walras equilibrium inefficient when we are dealing with public goods?

I know that when we have public goods we have that: $$MRT = MRS_a + MRS_b$$ Though I fail to understand why does this makes Walras equilibrium inefficient. Thank you very much for your help!
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2answers
134 views

Best Response Functions for Cournot

For a Cournot Duopoly game with Linear Demand functions, we need to find the optimal quantity of each firm such that profit is maximised. Given the linearity of the Demand curves, we will obtain a ...
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1answer
51 views

fixed an marginal cost calculation issue

I'm trying to solve a question that is quite difficult for me. I did part of the question but, bit difficult to decide the exact answer for the below question. After coming up with an innovative ...