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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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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31 views

Walrasian Equilibrium in A Simple Assignment (Matching) Model

I am reading Acemoglu 1996 and the Walrasian allocation in section II makes me confused. The setting is following. The economy lasts for two periods and consists of two types of agents, firms and ...
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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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360 views

Calculating price in a pure exchange economy

The problem is simple, I'm not really sure of my answer though. Consider an economy where there are two consumers and two goods: $$U_1(x_{11}, x_{21}) = x_{11}$$ $$U_2(x_{12}, x_{22}) = x_{22}$$ $...
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Pareto allocations and Competitive equilibrium

Consider the one-consumer one-firm economy. The consumer has preferences over leisure $l\in(0,L)$ and consumption good $x ≥ 0$ represented by utility function $u(x, l) = ax + l$, where $a > 0$ is a ...
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47 views

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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183 views

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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Demonstrating that markets yield productive and allocative efficiency to introductory students

Has anybody come across a nice, intuitive (i.e. neither formal nor technical) way to demonstrate how markets yield both productive and allocative efficiency? I suppose the allocative argument ...
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28 views

Leontif case for Edgeworth box

Consumer 1 has utility $u_1=min\{x_1,y_1\}$, Consumer 2 has utility $u_1=min\{x_1,2y_1\}$, their endowments are $w_1=(a,0)$ and $w_1=(b,0)$ and in this case $a=b$. I know the offer curves look like ...
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37 views

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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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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74 views

Uniqueness of Competitive Equilibrium Conditions

I know that if a consumer has strictly convex preferences it may not guarantee uniqueness of CE. I believe that we need monotonicity of preferences as well but would like to hear any thoughts of this ...
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1answer
50 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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32 views

Long run equilibrium price under perfect competition

I have a problem related to Ricardian rent. I have one firm, let's call it X firm, and all of the other firms in the market. All firms have to pay some transportation costs due to their land except ...
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51 views

Short, Medium and Long-Run Profit Maximization

Suppose that, in a perfectly competitive industry, the firms' technology have the following cost function: $C(x) = 100 + 3x + 0.04x^2$. Assume the fixed costs are sunken. a) If the demand for the ...
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Walrasian Equilibrium

Need help solving last two parts of this problem. We’ve solved for the general equilibrium but not sure how to go from there. The endowments of two consumers are given by $w_1 = (40,80)$ and $w_2 = (...
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50 views

Unique competitive equilibrium in an exchange economy

I was working on the following excercise: In an exchange economy $\varepsilon$ with two goods and strictly monotone, continous and strict concave utility functions, suppose all demand functions are ...
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60 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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40 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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25 views

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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279 views

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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73 views

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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1answer
144 views

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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2answers
55 views

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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30 views

free market equilbrium point, S=D confusion

I am confused over the concept of market equilbriums. let's say there is a firm X, who supplies 100 units in 1 week and the market demand is also 100 units, then Supply = Demand, and resources are ...