# 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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^...
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 ...