Questions tagged [self-study]

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

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4
votes
1answer
565 views

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_{...
2
votes
1answer
251 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 ...
3
votes
2answers
558 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 ...
2
votes
1answer
212 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 ...
4
votes
1answer
639 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 ...
1
vote
0answers
109 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. ...
9
votes
3answers
12k 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 ...
3
votes
1answer
79 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 ...
3
votes
2answers
207 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. ...
1
vote
1answer
80 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 −...
-4
votes
1answer
529 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 ...
4
votes
1answer
108 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 ...
4
votes
1answer
4k 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) $\le 0$ ...
4
votes
1answer
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 ...
3
votes
0answers
646 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 ...
2
votes
1answer
256 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 ...
2
votes
1answer
174 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.
1
vote
1answer
183 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,...
1
vote
1answer
114 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. ...
1
vote
0answers
110 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 : $s_i$ = $t_i$ + ...
1
vote
1answer
738 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 ...
1
vote
0answers
65 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.
0
votes
1answer
219 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 $$i=r+\pi^e$$...
0
votes
2answers
421 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}+\...
0
votes
2answers
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 ...
-1
votes
1answer
359 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 ...
-1
votes
1answer
457 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.