55 Years Later: Why Douglas Merged With McDonnell

Cobb shaky in last pre-Deadline showcase

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in example 41 we looked at the cobb douglas utility function uxyxay1 a where 0a1 this problem illustrates a few more attributes of that function a calculate the indirect utility function for 36322

In a pure exchange economy with two goods, G and H, the two traders have Cobb-Douglas utility functions. Amos' utility is Ua=(Ga)^α(Hα)^1-α and Elise's is Uc=(Gc)^β(Hc)^1-β . What are their marginal rates of substitution? Between them, Amos and Elise own 120 units of G and 90 units of H . Thus, if Amos has Ga and Ha, Elise has Ge=120-Ga and He=90-Ha . Solve for their contract curve. | Numerade

Cobb-Douglas Production Function | Formula, Equation & Example

Match each Cobb-Douglas production function (a)-(c) with a graph in Figure 12.71 and a statement (D)-(G). A. F(L, K)=L^025 K^0.25 B. F(L, K)=L^as K^05 C. F(L, K)=L^075 K^275 D. Tripling each input triples output. E. Quadrupling each input doubles output. G. Doubling each input almost triples output. (FIGURE CANNOT COPY) | Numerade

Suppose now that the two agents have different wealths, but identical Cobb-Douglas utility functions, ui(G, xi)=G^α xi^1-α, How big does the wealth difference between agent 1 and 2 have to be for agent 2 to contribute zero in equilibrium? | Numerade

Suppose that the production function is Cobb-Douglas. (a) Find expressions for k^*, y^*, and c^* as functions of the parameters of the model, s, n, δ, g, and α(b) What is the golden-rule value of k ? (c) What saving rate is needed to yield the golden-rule capital stock? | Numerade