Questions tagged [self-study]

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

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652 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 ...
3
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77 views

Firm Dynamic Optimization Problem

A firm has received an order at time $0$ for $M$ units of product to be delivered by time $T$. It seeks a production schedule for filling this order at minimum cost. Let $x(t)$ denote inventory ...
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0answers
591 views

How to self-study graduate level macroeconomics? Is there even a point?

As I had hoped to learn enough macroeconomic theory to get some research ideas, my goal at the beginning of this summer was to read through and complete the problems in an introductory advanced ...
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2answers
3k views

Utility maximization question setting up.

Consider a consumer whose preferences can be represented by the following utility function: $$u(x_1,x_2)=\dfrac{x_2}{(1+x_1)^2}.$$ Assume the agent's income is $y=5$. The price of one unit ...
2
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1answer
424 views

Interest rate rule in monetary DSGE model

I am studying DSGE models and try to solve exercise 2.2 from Gali's (2008) book. In short, consider the simple classical economy where the following approximate equilibrium conditions must be ...
2
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1answer
35 views

How do you keep up to date and find the most relevant papers?

What tools or methods you use to keep up with the frontier of the field? I follow some specific papers and authors. I was wondering what's the best way to keep up to date with relevant things with so ...
2
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1answer
259 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 ...
2
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1answer
182 views

consumer surplus decreasing

MRU has the following question on a quiz: Suppose the government forced all bread manufacturers to sell their products at a “fair price” that was half the current, free-market price. To keep it ...
2
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1answer
51 views

Counter example for strong and weak Pareto optimality

We know that strong Pareto efficient is equivalent to weak Pareto efficient if we have continuous and strongly monotone preferences. Please give me an example which we don’t have continuous and ...
2
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1answer
77 views

Proof on weak axiom of revealed preferences

I read the following statement. “ A utility maximizer with strictly convex and strongly monotonic preferences satisfies weak axiom of revealed preferences.” How can I prove or show this? I cannot ...
2
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2answers
102 views

Matchstick Game

Consider the following $2$ player finite extensive game. Player $1$ moves first. She must choose an integer from $1$ to $10$, and place that number of matchsticks on the table. Next, Player $2$ must ...
2
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1answer
68 views

If $\succsim$ is transitive but irreflexive, then it is asymmetric, proof

If $\succsim$ is transitive but irreflexive, then it is asymmetric. this is my proof: Suppose $\succsim$ is not asymmetric, which means that for any $x,y \in X$ $x\succsim y \rightarrow y \succsim ...
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2answers
2k views

Show that First order conditions are necessary and sufficient for utility maximization

I have a budget set $$B=\{x=(x_1,x_2)\in R^2_+ \mid 2\sqrt{x_1}+x_2\le y\}$$ where $y>0$ is income. Assuming the preferences are strictly monotonic and convex, I want to show that first order ...
2
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1answer
174 views

How to write budget constraint if the agent sell the goods that buy

Della’s utility is $U(G,R)$ G is the consumption of gasoline per week R is the the consumption of other goods Just help me to write down budget constraint. I think that $$R*1+(G-20)*10+20*1=...
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1answer
1k views

How can I learn about economics? [closed]

I'm a civil engineering student and I'm interested in economics and I would like to learn everything about it. I would like to learn everything from banks to the stock markets and everything there is ...
2
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1answer
87 views

How to calculate the ideal maintaining time of a machine?

I have a question regarding a cost calculation problem: I have the following curve, which shows, that with increasing number of tasks without maintaining a machine, the error probability for the ...
2
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1answer
47 views

Prove that in presence of many goods, the law of DMRS implies that at least one good must be a net substitute for any other good

I've been reading a book where the author claims that "if there are two goods they are always net substitutes. Along an indifference curve an increase in price of good 2 leads to less of good 2 and ...
2
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1answer
175 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.
2
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2answers
356 views

Bertrand Duopoly Equilibrium for Discrete Prices

There are two identical firms, $1$ and $2$, with zero marginal costs. They produce homogenous product, which is demanded by a unit mass of identical consumers, each of which has inelastic unit demand ...
2
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1answer
130 views

Repeated Game SPNE

I approached this question in this way: $(P_1,P_2), (R_1,R_2), (S_1,S_2)$ are the Nash Equilibria of the Stage 1 game. For the given strategy to be sustained as SPNE, there should be no way unilateral ...
2
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2answers
382 views

Best Response Functions for Cournot

For a Cournot Duopoly game with Linear Demand functions, we need to find the optimal quantity of each firm such that profit is maximised. Given the linearity of the Demand curves, we will obtain a ...
2
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1answer
257 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
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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 ...
2
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1answer
292 views

Cournot equilibrium question

There are two firs in the market. They produce perfect substitutes at cost $c(y_i)=y_i/3$ for i=1,2. The demand function is $p=1-(y_1+y_2)$ Consider the Cournot competition where firms ...
2
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1answer
186 views

Beginner level books on market economics

Which books can be recommended for a beginner with a strong math background, who wishes to learn how markets work, what is a stock, what is a bond, how to trade e.t.c. and has a minimal knowledge of ...
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0answers
31 views

Stochastic AK model with uncertainty [duplicate]

Consider the following version of the Ak model:$$V^*(A_0,K_0)=max\sum\beta^t\sum P(A^t)\frac{c_t(A^t)^{1-\sigma}}{1-\sigma}$$ st$$ k_{t+1}(A^t)+c_t(A^t)\leq Ak_t(A^{t+1})$$ and non-negativities $A_t$ ...
2
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0answers
58 views

Finding optimal path in continuous time

I have the following optimal control problem $$\max_{c_t,l_t} \int_0^{\infty} [ln(c_t)+\theta ln(1-l_t)]e^{-pt}dt$$ st. $$\dot{k_t}=k_t^{1/2}l_t^{1/2}-c_t-\beta l_t$$ $$k_0>0$$ I do big part of ...
2
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0answers
93 views

Bliss point hamiltonian function

I have the following utility function $$u(c_t)=g(c_t-b)^2$$ for constants $g,b>0$ Edited: in order to be bliss utility function, It must be g is negative. But in the question g is given to be ...
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1answer
56 views

Why there is no supply on monopoly markets?

We learned in the class that monopoly markets do not have supply curve. Our textbook (Microeconomics and Behavior, page 388 from, R. Frank) says: A monopolist has no supply curve and it explains it ...
1
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1answer
207 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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1answer
65 views

features of Generalised Method of Moments estimation

[ What does it mean that GMM is robust to distributional assumptions?
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1answer
183 views

Majority Rule and Single Peakedness

Majority Rule will induce non empty choice set if individual preferences are single peaked Is this statement true? I have some trouble in understanding the meaning of 'single peakedness' in context ...
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1answer
751 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
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1answer
2k views

Profit maximization with Cobb-Douglas function

I'm trying to maximize a firm's profit given the production function $F(L,K)=L^\alpha K^\beta$ (where $L$ is labor and $K$ is capital) and that $\alpha + \beta \neq 1$. So, I know that this ...
1
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1answer
693 views

Market Equilibrium

Can help me with part b of this problem? The demand for wine is given by the equation $QD = 500 – 20P$, where $P$ is the price of wine per litre and $QD$ is the quantity of wine demanded in litres. ...
1
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2answers
99 views

Best book to self-study microeconomics

What textbook(s) (and other resources) would you recommend to someone who wants to self-study microeconomics to an advanced (graduate) level starting from 0 (i.e. no formal background in economics)? I ...
1
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1answer
51 views

Nash Equilibria in Target Destroying-Guarding Game

Army A has a single plane which can strike one of three possible targets, A, B and C. Army B has one anti-aircraft gun that can be assigned to one of the three targets to guard it. The value of each ...
1
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1answer
117 views

Income gap in Ramsey model

Ramsey model with income tax Question: For this question you are required to setup a Ransey-Cass-Koopmans model economy with a Cobb-Douglas constant returns to scale production technology, with ...
1
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1answer
6k views

Homogeneity of degree zero and normalization

One of the first assumption is that the demand function is homogeneous of degree zero. The reason and the proof is easy. It should also be easy why this implies we can normalize the price of one ...
1
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1answer
33 views

Marginal productivity of aggregate labor relation to wage

I know that $f'(l)=w$. But if i have that the aggregate production is $Y=AL^{1-α}$ with $L=N*l$ (The number of workers, $N$, multiplied by the labor force). So basically I want to find an expression ...
1
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1answer
85 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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1answer
23 views

Keynesian model functions

In The Keynesian economy, I have the following model Here, the production function $F(N,K) = Y/K = A(N/K)^{1.10}$ and by the labor demand function $F_N(K,N)= N/K= b_0(w/p)^{b_1}$. right? That is, ...
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1answer
41 views

Understanding distortions in investment in human capital

I am currently reading Economics of The Colour Bar by WH Hutt, and I'm having trouble understanding this bit he has written: “But when the price of any commodity is raised above the free market level, ...
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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. ...
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1answer
80 views

OLS and 2SLS normal equations

For a system of equations with $M=2$ endogenous variables, $ Y=\begin{bmatrix} y_1 & y_2 \end{bmatrix}$ and $K=3$ exogenous variables, $X=\begin{bmatrix} x_1 & x_2 & x_3 \end{bmatrix}$. ...
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1answer
120 views

SPNE and Pareto Optimality

"The SPNE of a sequential game might not necessarily be Pareto Optimal" I understand the definitons of Nash Equilibria and Pareto Optimality and that these are not synonymous concepts. An example in ...
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2answers
161 views

Bayesian Nash Equilibria: Strong and Weak Types

I need a little help with the question. I understand that since both players have two types each, there will be 4 different payoff matrices to be considered, $(S,S)$,$(S,W)$,$(W,S)$,$(W,W)$, each type ...
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1answer
23 views

Is there book or research on economically sustainable design of town or village?

I'm looking for a book which may help to design a self-sustainable small settlement, which can maintain its own economy with limited connections to the outside world. Prefereably it should answer ...
1
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1answer
208 views

Maximization with disposable income

Consider a welfare system u dear which a single cash transfer(guaranteed income ) is given to every citizen. Then for each dollar the person earns the payment is reduced to by a where 00 you get a ...
1
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1answer
90 views

Where can I look up a companies Herfindahl index?

Where can I find Herfindahl indexes on companies (current or past)? Are there any published lists put out by a research institution?