Questions tagged [competitive-equilibrium]

The study of equilibrium when individual agents have no power to influence market-level variables like prices or quantities.

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21 views

why is market clearing price assumed in cournot model with homogenous products

In the cornout model two firms choose the amount of a product they wish to produce. It is assumed that the price that results is the market clearing price for the total supply. Is there a ...
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53 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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103 views

Competitive equilibirium of max utility functions

Apologies in advance if my terms aren't exact, I'm learning "Mathmatical Economoics" in the hebrew language and some of the terms don't translate well. I was given the following question: Two ...
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31 views

Externalities, Pigouvian Taxes and Wikipedia

It states on Wikipedia: A Pigovian tax (also called Pigouvian tax, after economist Arthur C. Pigou) is a tax imposed that is equal in value to the negative externality. The result is that the ...
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53 views

Heckscher-Ohlin with heterogeneous preferences

could someone really help me out I would need to show a situation in which the Heckscher-Ohlin result does not necessarily hold when preferences are heterogeneous. Does someone have an idea how I ...
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29 views

Heckscher-Ohlin with non homothetic preferences [duplicate]

Can someone tell me how I can show with an example that the Heckscher-Ohlin result does not necessarily hold when preferences are not homothetic. I was asked if it similar as a case in which the ...
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68 views

Why is market equilibrium pareto efficient?

Let us assume that the current price $P$ is lower than the 'equilibrium price' $P^\star$ so that $Q$ is lower than $Q^\star$. If we move from this combination towards the equilibrium one, it may be ...
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Simulating a simple economy with … price-makers? arriving at competitive equilibrium

I'm new to economics and thinking about graduate study. My background is mathematics. I started reading a book on microeconomics by Mas-Colell, Whinston and Green. My goal is to understand how ...
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38 views

Equilibrium price determination in a 2 commodity framework

Following are the set of equations describing the demand and supply of two goods X and Y: Demand functions: $$X_d = a_1 - b_1P_x + c_1P_y$$ $$Y_d = a_2 - b_2P_y +c_2P_x$$ $a_1,~ a_2,~ b_1,~ b_2,~ ...
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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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What's the market equilibrium price for the used good?

On a perfectly competitive market, a buyer wants to buy a used good. He is willing to pay $30$ for a badly used good, and $60$ for a nicely used good. The seller is willing to sell a badly used good ...
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Computing the competitive equilibrium given initial allocation

Suppose that there are two agents, 1 and 2, and two goods, honey (h) and lemon (l), and that the agents' preferences over these goods are defined by the following utility functions: $$u^1(x_h^1, x_l^...
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Walrasian Equilibrium intuition given prices and some initial allocation

Suppose we have two agents who are each assigned some initial allocation of two different goods, where the prices of each good are given. Also, suppose the utility functions for each agent are weakly ...
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Equilibria in non regular economies

We know that in regular economies general equilibrium theory predicts a finite and odd number of equilibria, using the properties of the excess demand function and the index theorem. How about the ...
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46 views

Selling price of a widget at competitive equilibrium

Let's suppose that it costs producers a minimum of y dollars to produce a widget (it may actually cost more, depending on the producer, but that is the bare minimum). In a competitive equilibrium, ...
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Why wouldn't competition prevent “usurious” payday loan rates?

The current Wiki page on "Payday Loans" claims loans are priced above marginal cost. The justification is that If a lender chooses to innovate and reduce cost to borrowers in order to secure a ...
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Market price, output that maximize the price and level of firm profit after applying a license fee

I'm currently working on a problem that says the following : At first we had a number N of firms in perfectly competitive industry,the exercice gives us the total cost and the Market Demand with p as ...
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109 views

A question about the exchange economy

The question I am given is the following: Consider an economy that has only three goods, mineral water, orange juice, and wine available in fixed amounts, and three agents, A, B and C. So in this ...
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42 views

Necessary conditions for the existence of a competitive equilibirum

I got that in an exchange economy, conditions as preferences being continuous, strictly convex and strongly monotone and $\sum_i \omega_i\gg 0$ are sufficient conditions for the existence of a ...
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148 views

Rosen's unique equilibrium conditions: Multi dimensional strategies?

I was wondering if the uniqueness of equilibrium conditions in n-person games as published in Rosen's 1965 paper (J. B. Rosen. Existence and uniqueness of equilibrium points for concave n-person games....
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39 views

Finding individual utility

There are N agents living in an economy with two goods, $X$ and $Y$. Their preferences are described by the following utility function $u(X,Y) = 2 \sqrt{XY}$. Each agent is endowed with 1 unit of $X$ ...
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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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Assumptions for the existence of a Walrasian equilibrium

I have a problem set stating that a competitive equilibrium does exist under a series of assumptions on the economy. The question is "Show that the following six assumptions are needed for existence ...
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85 views

Is Cobb-Douglas the only output function corresponding to a competitive economy?

Apologies if this is a rather simple question, I appreciate any guidance. $$ Q(K,L) = AK^\alpha L^{\beta} $$ where A is a constant. Identify the conditions on $\alpha$ and $\beta$ for ...
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744 views

MICROECONOMICS: Optimal quantity produced in a Perfect Competition Market

Suppose the Total Cost function of a firm in Perfect Competition is given by: $$C(q) = 450 + 15q + 2q^2$$ The market price is $P = 15$ per unit Determine the optimal quantity produced by ...
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Pure exchange economy: Given an initial endowment are multiple equilibria possible?

Consider a pure exchange economy with two goods ($x_1,x_2$) and two consumers $A,B$. Both users have an initial endowment, $(\omega_1^A,\omega_2^A)$ and $(\omega_1^B,\omega_2^B)$ respectively. A price ...
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Looking for a term that explains market participants that lie about their participation to gain access to said market

I'm Looking for a term that explains the behavior of a market participants that will lie or exaggerate how much or what they offer in order to gain access to a market that would otherwise be ...
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Cournot equilibrium question

There are two firs in the market. They produce perfect substitutes at cost $c(y_i)=y_i/3$ for i=1,2. The demand function is $p=1-(y_1+y_2)$ Consider the Cournot competition where firms ...
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Do I understand the second welfare theorem correctly?

As far as I understand, the second welfare theorem says that all Pareto-optimal allocations can be reached by market equilibrium on free competitive markets. Yet it seems that this understanding is ...
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Relationship between IRS and Competitive equilibrium

If there are increasing returns to scale in both sectors (in a 2x2x2x2) production and consumption economy, then a profit maximizing allocation most likely involves the economy producing only one type ...
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General Equilibrium allocation holding fixed a consumer's utility

I'm having some issues with solving this general equilibrium exercise. The way I started off is by assuming that since consumer 2's utility is fixed, he will have a fixed utility function. Then ...
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Pure exchange economy: Set of multiple equilibria endowments

Initial endowments which can result in multiple equilibria in a pure exchange economy are explained here. Given a pure exchange economy, that is given the utility functions (which fulfil the usual ...
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Competitive equilibrium in Leontief economies

Consider an economy in which all consumers have, possibly different, Leontief utilities. Since preferences are not strictly convex, it is not guaranteed that a competitive equilibrium exists. I found ...
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How to find the market equilibrium by surplus maximisation when there is a consumer subside?

Let's assume a market with linear demand and supply functions, let's say $Q_d = 20 - 4p$ and $Q_s = -4 +8p$ respectively. We can easily find the market equilibrium by either setting $Q_d = Q_s$ (or $...
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Simple equilibrium in monopoly question

Given an inverse demand function for hangars: $$P = 3 - \frac{Q}{16,000}$$ and constant marginal cost of $1$, what is the equilibrium price and quantity of hangars in a monopoly? In a perfectly ...
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135 views

Stone-Geary preferences and competitive equilibrium

Does anybody know if a competitive equilibrium obtains under Stone-Geary preferences; are there multiple equilibria problems; do such preferences admit an analysis with more than one type of ...
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392 views

Maximisation problem in a multiproduct firm

I am currently reading the book "Microeconomics: Principles and Analysis" by Cowell on my own. I'm interested in the section of the multiproduct firm, but i'm confused with the use of the profit ...
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Could markets compute equilibria?

It has been shown, for example in the papers Deng, Du, The Computation of Approximate Competitive Equilibrium is PPAD-hard Hirsch, Papadimitriou, Vavasis, Exponential Lower Bounds for Finding Brouwer ...
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118 views

Papers on time it takes to reach market equilibrium?

Are there any models which calculate the time (i.e. minutes, hours, days ect.) it takes for equilibrium to occur? I.e how long it takes for market forces to settle.
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No competitive equilibrium for pooling contracts

In class we dealt with insurance economics and, specifically, adverse selection due to information asymmetry. As one possible solution we considered pooling contracts, i.e. the same contract for both ...
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Equilibrium Uniqueness in a General Equilibrium Framework

I was wondering if anyone had any insight into the conditions that lead to a unique equilibrium in an exchange economy under a general equilibrium framework. More specifically, I know that the two "...
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79 views

Can heterogeneous prices be consistent with competitive equilibrium?

I do not want to put many constraints on the structure of the problem, except by defining a competitive equilibrium as such where firms are price takers in the factor and good(s) market, and, perhaps (...
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When to prefer maximisation of surplus and when instead to prefer minimising differences in price and q to find market equilibrium?

Two alternative approaches to compute a market equilibrium (in static analysis) are either to minimize the differences (either using abs() or a quadratic diff) between supply-demand quantities and ...
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Why labour, capital, and output levels cannot be pinned down in perfect competition?

Consider a firm producing with the following technology: \begin{equation} Y = AL^{\alpha}K^{\beta} \end{equation} Assuming that factors are paid their marginal contribution to output, it can be ...
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Number of firms in Long Run

In a competitive market, is it possible to know the change (increase/decrease) in number of firms in the Long run with a positive shift in demand for increasing costs case?
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Optimal production level for a typical firm in long-run

Assuming all firms have identical cost functions. Now suppose there is an increasing shift in the demand curve. As we all know that for increasing costs case, both average costs (AC) and marginal ...
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990 views

Competitive equilibrium in an exchange economy with lexicographic preferences [closed]

I am really stuck with this problem and not able to approach it. Any help will be much appreciated. I tried to draw edgeworth box with initial endowment point. I do know that for competitive ...
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Competitive prices, tax and lump sum cash transfer in case of externalities

An economy is made up of two people. The utility functions are $$u_1(x_{11},x_{12}) = x_{11}x_{12}$$ $$u_2(x_{21},x_{22}) = 2x_{21} + 2x_{22} −x_{11}$$ The initial endowments are $ω_1 = (1,0)$ and $...
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Does the price level in a competitive market have to be at the intersection of the Average Cost curve and the Marginal Cost curve?

I could see that if the price level is say lower than the intersection point , then firms won't be able to operate , but what is wrong with the price level being above the intersection point of the ...
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Dynamic programming problem with dimension over 1000

I am working on a project which need to solve a dynamic programming problem with dimension over 1000. In past literature, there exist several methods like Smolyak algorithm and Sparse grid method that ...