Questions tagged [general-equilibrium]

In economics, general equilibrium theory attempts to explain the behavior of supply, demand, and prices in a whole economy with several or many interacting markets, by seeking to prove that the interaction of demand and supply will result in an overall (or "general") equilibrium.

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Optimal Fight Purse and Boxing Strategies

The following is all public information available to all the players in this scenario. The General Setup In the aftermath of the infamous race between the tortoise and the hare, the salty hare went ...
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329 views

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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67 views

References on mathematically rigorous general equilibrium theories

I'm looking for a relatively recent survey on the state of the art for mathematical general equilibrium. I'm especially interested in questions of uniqueness, stability and dynamics. (I'm planing on ...
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What would be the consequences of universal parity of buying power (wage value) and freedom to buy?

I've wondered about this for many, many, years..... maybe there's an answer (or several answers?) after all. As the global economy is set up, one reason a person in the US and EU can afford a nice ...
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327 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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Can the social planner problem be reduced to a Pareto problem or a Walrasian equilibrium problem?

The social planner problem is \begin{align} \max_{\lbrace x_i,y_i,x_j,y_j \rbrace } &\theta_i U_i(x_i,y_i) +\theta_j U_i(x_j,y_j) \\ & \text{s.t.}\\ &x_i+x_j = \omega_i^x + \omega_j^x\\ &...
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Question about MWG 17.D.1

I tried to solve by myself the exercises of MWG(Mas Colell). However, I think the exercise has an error at 17.D.1. The 17.D.1 asks us that "verify that there are multiple equilibria". However, The ...
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124 views

Money in New Keynesian models

I have been doing some reading on general equilibrium theory and it has made me highly confused regarding the logic behind NK models. If I have understood correctly, NK models are based on Walrasian ...
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112 views

The second welfare theorem without monotonicity

Are there non monotonic preferences that are strictly convex and continues but the second welfare theorem does not hold for them?
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70 views

Decreasing consumption prices and increasing housing prices

It's election time in my country. The government boasts a decrease of 5% in consumption prices thanks to removing regulations, while the opposition blames the government for an increase of 5% in ...
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40 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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8 views

Data for CGE experiments?

Does anyone know of any open-source U.S. data sets in a format appropriate to whole-economy CGE econometric modeling, i.e. data sets covering the entire economy, divided into at least 20 sectors, with ...
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38 views

Index of an Excess Demand Vector

Mas-Colell, Whinston and Green, in Microeconomic Theory (third edition), postulate the concept of an index for an excess demand vector, which is later used in the Index Theorem: A regular equilibrium ...
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45 views

Walras's law in a Fisher market

Walras's law is stated for an exchange market: each agent comes to the market with a certain endowment of each commodity, a price-vector is determined, and the demand of each agent is the best bundle ...
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47 views

How to add a third factor of production to a static CGE-Model in gEcon

I am currently using the tool gEcon trying to create static CGE-models. As a starting point I am using a sample model from the gEcon developers. I already implemented small changes and managed that I ...
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In what contexts are stable markets sub-optimal?

My understanding is that market stability is a good thing, because it allows more reliable estimates of profits (revenues minus expenses) and expected return-on-investment related to new investments. ...
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77 views

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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181 views

General equilibrium papers on universal basic income

Are there any microeconomics or general equilibrium articles on universal basic income? Papers dealing with general wealth transfer mechanisms where a basic universal income would be a subset of the ...
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39 views

General equilibrium allocation with “altriustic” utilities

Has any work been done on market allocations where market participants have utility functions that depend on other players' allocations? For example, suppose I have a general equilibrium model with ...
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227 views

About Lindahl equilibrium and Pareto Optimality

Let an economy with 20 consumers, one private good $x_2$ and one public good $x_1$. The public good is produced using the private good as input with the following technology $x_1=g(z)=z^{1/2}$, where $...
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94 views

Simple Macroeconomics problem

Suppose an agent wants to maximize: $Max \sum_{t=0}^\infty \beta^t \ln(C_t) $ s.t. $C_t + I_t = Y_t$ $Y_t = K_t$ $K_{t+1} = K_t^\alpha I_t^\gamma$ where $\alpha, \gamma >0$ and $\alpha + \...
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A stable equilibrium with demand and supply?

My doubt pertains to something that is mentioned in the book by Koutsoyiannis for microeconomics (in the chapter for general equilibrium). http://www.upload.ee/image/5306829/1.jpg http://www.upload....
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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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36 views

Is local non-satiation enough to talk about Walrasian Equilibrium being subset of Core

In Advanced Microeconomic Theory, the author mentions that the Cobb Douglas utility function is neither strongly increasing nor strictly quasiconcave over all of R+. But the condition of strongly ...
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How does definition of “price equilibrium with transfer” also include the case for the definition of “walrasian equilibrium”?

According to MWG and this answer, walrasian equilibrium is a special case of price equilibrium with transfers. However, since wealth distribution is predetermined in walrasian equilibrium, would it ...
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How to numerically calculate equilibrium when the problem is non-linear?

I have recently started reading about financial related topics and I have stumbled upon the term “equilibrium”. In general when supply increases, the price of the product tends to increase as well ...
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35 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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Given a Walrasian equilibrium, compute all intitial endowments that lead to given Walrasian equilibrium

If you would be so kind to take a look at the following problem:* Consider an economy with two agents Stan ($S$) and Laurel ($L$) and two goods: Cans of coke ($C$) and Pretzels ($P$). The total ...
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1answer
98 views

General Equilibrium Involving Production

I need a little conceptual clarification. For a standard $N*K*M$ general equilibrium model, would an allocation, say, $y^k$ be Pareto Optimal if it does not solve $max(py^k)$? I understand that the ...
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204 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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59 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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53 views

How does supply and demand determine price for the following scenario?

Two individuals are stranded on an island. Bob and Jill. By themselves they can produce: Bob: 5 fish & 5 coconuts Jill: 5 fish & 5 coconuts If they specialize and trade, they can produce: ...
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53 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^...