Questions tagged [self-study]

Questions about self-studying economics, including curriculum design, study strategies, resources, etc.

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Optimization problem with Kuhn-Tucker conditions

Consider a game with two players where each player $i=1,2$ has preferences $u_i=s_i^a c_i^{1−a}$, where $c_i$ is consumption and $s_i$ is social interaction. $s_i$ is given by $s_i=t_i+t_{ij}\times t_{...
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2 votes
1 answer
375 views

Resources to improve my economic intuition

I am trying to improve my economic logic skills and ability to think about day-to-day issues in the systematic way economics and decisions science approaches scarcity or optimization. A simple ...
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3 votes
2 answers
649 views

Subgame Perfect Nash equilibrium: two stage game

Charitable organizations are ranked according to the proportion of their total budget that is spend on programs(what directly goes to the recipients of their services) relative to money spent on ...
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2 votes
1 answer
219 views

Kuhn-Tucker and optimization (continue)

This is a question related to the question: Kuhn-Tucker optimization problem and game theory .The question is: Some cultures emphasize more social interaction more than others. Is there a role for ...
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4 votes
1 answer
776 views

Bertrand game - Nash equilibrium

The quantity is limited to 300 but the monopoly quantity is equal to 400 and gives a monopoly price of 600. But if we plug the quantity of 300 into the demand function we get a price of 700.But I am ...
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1 vote
0 answers
124 views

Revenue maximization problem

There are $N>0$ Households in an economy. The government has aim to maximize a weighted average of income by imposing tax on the rich people and redistribute the tax revenue to the labor ones. ...
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10 votes
3 answers
13k views

How to show that a homothetic utility function has demand functions which are linear in income

A homothetic utility function is one which is a monotonic transformation of a homogeneous utility function. I am asked to show that if a utility function is homothetic then the associated demand ...
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  • 326
3 votes
2 answers
209 views

Does economic growth always implies investments in infrastructure?

For my course I'm analysing the problem of empty retail stores. I need to analyse how my alternatives to solve the problem would change the important factors about the problem in uncertain scenarios. ...
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3 votes
1 answer
85 views

The relationship between gross profit and tax

I tried to do following question but I am not sure about my solution. Please tell me your opinions Since gross profit is strictly concave, I can say that $R’’(y)-C’’(y) <0$ Now I maximize the net ...
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1 vote
1 answer
143 views

Find Pareto optimal allocations and the core for the following economies

Find Pareto optimal allocations and the core for the following economies. There are two consumers and two goods. Utility functions are $u_1(x_1,y_1)= 10x_1-(y_1-2)^2$ and $u_2(x_2,y_2) = 10y_2 − (x_2 −...
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-4 votes
1 answer
615 views

Question about budget constraint and utility maximization [closed]

I have also following budget set $$B=\{x=(x_1,x_2)\in R^2_+ \mid 2\sqrt{x_1}+x_2\le y\}$$ where y is income. Assume that there are two stories. The agent can shop in both of them. The first store ...
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4 votes
1 answer
114 views

How do I construct the score process of a Markov model and verify that it is a Martingale?

The following is a specific question that is useful for demonstrating a general idea. Consider the following autoregressive model: $$ X_{t+1} = \alpha_0 + \beta_0 (X_t - \alpha_0) + W_{t+1}, $$ where ...
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4 votes
1 answer
5k views

Deriving long-run cost function

I'm a bit unsure about how to derive a long-run cost function. Suppose my production function was $X(L, K)=L^a K^b$, where $a+b>1$. I'm thinking about doing the following, but I'm not sure it's ...
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  • 51
4 votes
1 answer
5k views

Cournot Competition game with 3 Firms

Three firms are in Cournot competition. The inverse demand curve is denoted p(q) where p is the price if a total of q units are produced. Assumptions are: p(0)>0 and p'(q)<0 and p''(q) $\le 0$ ...
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4 votes
1 answer
1k views

Self-teaching 1st year PhD Microeconomic Theory

How should one proceed if he wanted to master the microecon theory course typically taught in the 1st year of a PhD program on his own? Which text(s) and/or online course(s) should he follow? Suppose ...
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3 votes
0 answers
698 views

Market clearing condition with Walras law

I have a diamond overlapping model The question is as follows Let us consider an infinitely lived production economy populated at time t by $N_t$ identical and perfectly competitive adult ...
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  • 295
2 votes
1 answer
183 views

Subgame perfect equilibrium and expected profit

I am so confused because I cannot set up the monopolist's profit maximization problem.What I did is the following one: Any help will be appreciated. Thank you.
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2 votes
1 answer
276 views

Stackelberg setup

I am completely confused because I cannot find the leader's best response. I do not know if it is exactly the same as it was a Cournot game. What I did is: Any help will be appreciated a lot. Thank ...
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1 vote
0 answers
68 views

Maximization under two different states of the world [closed]

What I did is the following one but I am not sure at all: Any help will be appreciated. Thank you.
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1 vote
0 answers
120 views

Kuhn Tucker optimization problem and game theory [duplicate]

Consider a game with two players, where each player i= 1 ,2 has preferences $u_i$= $s_i^a$$c_i^{1-a}$, where c_i is the consumption and $s_i$ is social interaction. $s_i$ is given by : $s_i$ = $t_i$ + ...
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1 vote
1 answer
135 views

Job search theory in discrete time

Let us assume that there is a labor who lives in discrete time universe and discounts future payoffs with the discount factor $b\in (0,1)$. And we assume that this labor is at period $t=0$ at first. ...
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1 vote
1 answer
495 views

Finding the conditional input demand function

Find the conditional input demand function and cost function for the given production function $$f(a,b,c,d)=\min\{ a,2b\} + \max\{3c,4d\} $$ In The solution, The production function is defined as $f(x,...
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  • 615
1 vote
1 answer
881 views

Pure exchange economy with free and non-free disposal

Question is as follows: My answers are (I) Let k is constant utility level Then $$k=\sqrt{x_A^1x_A^2}$$ $$k^2/x_A^1=x_A^2$$ The first derivative is negative. So the indifference curve is ...
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  • 295
0 votes
2 answers
677 views

Question on Central bank loss function interpretation

How do you interpret this central bank’s loss function: $$L(\hat x, \pi)=\alpha \hat{x}^2+(\pi-\pi^T)^2$$ where $\alpha >0$ and $\hat x$ is output gap. Phillips curve is $\pi = \theta \hat{x}+\...
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  • 615
0 votes
0 answers
45 views

Solow Model With Land as Factor

Given the production function: $$Y = K^\alpha (AL)^\beta R^{1-\alpha -\beta}$$. Where $L, A$ grow at exogenously given rates $n, g$ respectively. $R$ is land and is constant in supply and given that $\...
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  • 1,630
0 votes
1 answer
312 views

Central bank loss function (I did a solution, but it doesn’t totally make sense I guess)

I have question on central bank loss function. We know that the central bank loss function is $$L(\pi, \bar{Y})= (\pi- \pi^e)^2+\beta \bar {Y}^2$$ And we know that fisher equation is $$i=r+\pi^e$$...
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  • 615
0 votes
2 answers
58 views

when a=0, would economy accumulate more physical capital? Why?

Utility function is $U(c_t,l_t)=(1-a)ln(c_t)+aln(l_t)$ $l_t$ is leasure time $c_t$ is consumption Production function is $y_t=k_t^e(1-l_t)^{1-e}$ $k_{t+1}=i_t+(1-\delta )k_t$ where k is ...
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-1 votes
1 answer
390 views

Question on oligopoly.

Consider an oligopoly between two identical firms producing a homogenous good with constant marginal cost where firms face linear market demand. $B_i(q_j)$ denotes firm i’s best response given the ...
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  • 615
-1 votes
1 answer
497 views

Profit maximization and allocative efficiency result

I completely stuck to the last part of this exercise. I cannot understand how can I determine an allocative efficiency result. Any help will be appreciated. Thank you.
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