Questions tagged [cobb-douglas]

The Cobb-Douglas function is a commonly used functional form for a firm's production function or for consumers' utility, with a variety of convenient properties.

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Derivation of demand function

Hello. I'm graduate student in Japan. This time, what I want to ask is how to solve the profit maximization problem using the image production function and derive the demand function. This ...
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Optimizing Cobb-Douglas like functions

Economics isn't my home field, but I'm looking for references for a paper I'm working on and I'm hoping one of you can help. Are there many good references for optimizing a Cobb-Douglas like utility ...
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Regression on derived consumer preference

I have a data set with some demographics of consumers who bought a product that can be used to imply their preference (beta) using Cobb-Douglas (see comments of original question). I’d like to check ...
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MRS in Walrasian equilibrium price expression?

I have the utility function $U^A=\alpha ln(x^A)+\beta ln(y^A)$ for consumer $A$ and $U^B=\gamma ln(x^B)+\phi ln(y^B)$ for consumer $B$. They are endowed with $\omega^h_x$ and $\omega^h_y$ of $x$ and $...
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Unitary model with cobb-douglas function

We have these following from the first order conditions: ${U_{LA} \over U_C} = w_A \to MRS_{C,LA}=w_A$ ${U_{LB} \over U_C} = w_B \to MRS_{C, LB}=w_B$ ${U_{LA} \over U_{LB}} = {w_A \over w_B} \to ...
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Given a standard Cobb-Douglas production function, how to estimate the output elasticity of labour and capital by country?

Given a standard Cobb-Douglas production function: $$Y_t=(A_t L_t)^{\alpha} K_t^{1-\alpha}$$ Moreover, the production function has constant returns to scale: $$\alpha + (1-\alpha)=1$$ How to estimate ...
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288 views

Given Cobb-Douglas production functions for 2 factories (same owner), how will the owner produce $y$?

So my question is this: A company owns two factories, A and B, each with the following production functions: $f_A(x_1,x_2)=x_1^{\alpha}x_2^{1-\alpha}$ $f_B(x_1,x_2)=x_1^{\beta}x_2^{1-\beta}$ Now ...
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Cobb-Douglas demand yields a zero marginal revenue, monopolies don't exist?

From here and a pile of maths that I've done myself, $x_1 = \frac{a}{a+b}\frac{m}{p_1} \\ x_2= \frac{b}{a+b}\frac{m}{p_2}$ This yields inverse demand equations, when you have numbers stand in for $...
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Stochastic frontier analysis in a unit out put production function. Taking logs is causing issues?

I wish to perform stochastic frontier analysis to calculate inefficiency of firms, but for a unit output isoquant ( imp) now y'=1, k'=k/y and l'=l/k. Now, these values lie between 0 and 1 (including 0)...
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Maximizing a Cobb-Douglas Function

Suppose that a competitive firm receives a price of $P$ for its output, and pays prices of w, r and v for its labor $(L)$, capital $(K)$ and natural resources $(R)$ inputs, respectively. The firm ...