Questions tagged [self-study]

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

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Behavioral Dictator Game

I am doing a self study on behavioral economics and I am trying to solve behavioral version of the dictator game with following utilities for person 1 and 2. $$ u_1( \sigma_1, \sigma_2 ) = \...
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38 views

Why decreasing co-state variable (over time) is Compulsory?

I have a short question. In the continuous time infinite horizon optimal control maximization problem Like $$\max \int^{\infty}_0 u(c_t)e^{-pt}dt$$ I use current hamiltonian function and I obtain ...
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1answer
55 views

Intertemporal budget constraint notion

Let $W$ denote the investor's wealth $B$ is the the investment in the risk free asset (suppose that the risk free rate is taken to be zero) and $X$ is the investment on the risky security which has ...
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63 views

Writing constraint

A firm accumulates useful knowledge $k$ by investing in R&D activities. Specifically, if the firm invests $r > 0$ dollars into R&D, the stock of useful knowledge grows by about $2\sqrt{r}$ ...
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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
92 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
32 views

Why do the gross return of wealth and wealth move in opposite direction?

I have a short question: Why does the gross return of wealth decrease as wealth increases? Why do the gross return of wealth and wealth move in opposite direction? $$R=1+(a/w^2)$$ where a is non-...
4
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3answers
416 views

Books friendly to self-studying Industrial Organization

I'm currently an undergraduate freshman looking for resources to self-read Industrial Organization. I've read Varian's undergraduate book cover-to-cover and have a decent understanding of basic game ...
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1answer
231 views

Study guide (and…) for “Intermediate Microeconomics with Calculus” by Varian

I have been googling study guides, solution manuals and other helpful material made by professors. But I have not found anything useful. Q: Do you guys know anything that will make the book easier ...
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2answers
351 views

Corner solution of the maximization problem

Answer Hello, I upload the actual question with my 8-pages answer. Please can you check it. Is there a corner dissolution for $c=\gamma$. Please share your ideas. Thanks.
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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. ...
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2answers
442 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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1answer
221 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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2answers
437 views

The relationship between profit and wages

It seems obvious that an individual company increases their profits when they reduce wages or increase automation or some such. But if wages fell universally because of this, wouldn't that decrease ...
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0answers
39 views

Recommendation on economics books for a statistician

I have mainly an statistics/informatics background and i have basically not knowledge in economics. What some good books to star given my background? Edit: My principal interest is stock market ...
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1answer
78 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, $X=\begin{bmatrix} x_1 & x_2 & x_3 \end{bmatrix}$. ...
0
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1answer
73 views

Sequential Price Competition for Perfect Complements

There are two goods, $1$ and $2$ produced by two firms at zero marginal costs. The goods are perfect complements. The demand for each goods is: $Q_1=Q_2=a-(p_1+p_2)$. The prices are set sequentially, ...
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0answers
19 views

Questions regarding 'Efficient Trade with Interdependent Values' by Marek Pycia and Peng Wang,2015

This question is with reference to the paper 'Efficient Trade with Interdependent Values' by Marek Pycia and Peng Wang,2015(See here). At page no. 4 of the paper, the authors describe $v_i$ as the ...
2
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2answers
347 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 ...
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0answers
114 views

How to show that a leontief utility function is homothetic?

usually what i do to show that a utility function is homothetic is by either showing that the function is homogeneous or if the MRS is homogeneous of degree 0. However the MRS is not defined. So im ...
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1answer
390 views

Preference: Convexity and Monotonicity

I need an example of a Convex, non-monotonic preference Non-convex, monotonic preference I figured that an example of non-convex, monotonic utility preference could be $U(x,y)=x^2+y^2$. For convex, ...
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0answers
52 views

two period consumption problem

Ms. A earns 25,000 dollars in period 1 and 15,000 dollars in period 2. Mr. B earns 15,000 dollars in period 1 and 30,000 dollars in period 2. they can borrow money at an interest rate of 200% and can ...
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1answer
60 views

NASH equilibrium [closed]

How to approach questions like these: In a two player static game with a discrete strategic space that permits each player to chose one of the four possible strategies what is the maximum number of ...
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 ...
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1answer
60 views

Neoclassical model with proportional taxes

In a certain economy, time is discrete with periods $t=0,1,2,...$. The economy is populated by many households and identical firms. The utility of a household is: $\displaystyle\sum^{\infty}_{t=0}\...
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1answer
163 views

Spence's Job Market Signaling Game

I have a little doubt in the Job Market Signalling Game. I am referring to A Primer in Game Theory: Gibbons, Chapter 4, Signaling Games The attached paragraph refers to a Separating Equilibrium case ...
2
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1answer
127 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 ...
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1answer
118 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 ...
3
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1answer
67 views

Expected payment in a second price auction with affiliation

The symmetric bidding strategy in a second-price auction with affiliation is given by $\beta(x)=v(x,x)$, where $v(x,y)=E[V_1|X_1=x,Y_1=y]$ (here $Y_1$ is the highest ordered statistic among the ...
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2answers
159 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 ...
4
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1answer
202 views

Auctions with affiliation

This problem is an example given in Vijay Krishna's Auction Theory (2nd Edition, Chapter-6, Example 6.2). The problem is as follows: Suppose $S_1,S_2$, and $T $ are uniformly and independently ...
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0answers
86 views

Take It Or Leave It Strategy: Social Optimum

Here is what I understood Using Backward Induction, I inferred that buyer offers a price, say, $P$ and the seller will sell only if $P \geq c(I)$. Setting the lowest possible Price that will ensure ...
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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 ...
3
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3answers
386 views

Book recommendations: Introduction to economics

I recently made my first trip to a foreign country. I'm quite amazed by how things work. Why are things priced differently at different places? Is the bed-sheet that I bought from that country worth ...
3
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1answer
209 views

Disagreement in Strategic Bargaining

Construct a pair of startegies for the ultimatum game ($T=1$ bargaining game), that constitutes a Nash Equilibrium and together support the outcome that there is no agreement reached by the two ...
2
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2answers
100 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 ...
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0answers
66 views

Strategy sets and SPNE

I need to find the startegy sets for the two players in this game. I understand that the game has only one subgame, that is, the entire game. I cannot seem to understand the strategy sets of the ...
1
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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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28 views

Linearisation of the IS curve?

How to the IS curve linearised around the structural equilibrium?, what is the math behind it?
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1answer
49 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 ...
2
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2answers
378 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 ...
0
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1answer
121 views

General Equilibrium Involving Production

I need a little conceptual clarification. For a standard $N*K*M$ general equilibrium model, would an allocation, say, $y^k$ be Pareto Optimal if it does not solve $max(py^k)$? I understand that the ...
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1answer
180 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 ...
3
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1answer
232 views

Blocking Coalitions

For $n$ individuals, can a blocking coalition only be formed by at least $n/2$ individuals? For example, if there are 6 individuals, can less than 3 individuals form blocking coalitions?
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2answers
68 views

Yield To Maturity exact meaning

From investopedia: "YTM is the total return anticipated on a bond if the bond is held until it matures" I have also seen this interpretation used in other sources however this seems wrong to me. ...
4
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2answers
239 views

Is it right to derive social marginal benefit by adding individual prices instead of quantities?

I come across a lecture material on market functions and externalities that makes me quite confused. Here's the setup: Two stores are located next to each other. If one installs a camera system in ...
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1answer
272 views

Prove that $u$ is a utility function for $\succsim$

If X is finite, define this function $u : X \rightarrow \mathbb{R}$ by $u(x) = |\{z\in X:z \prec x \}|$. Prove that $u$ is a utility function for $\succsim$. Is it sufficient to prove that the ...
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2answers
142 views

Doubt about equivalence relation

In class I was taking notes about equivalence relations defined as: Given a generic relation $R$ on $X$, $xIy$ if both $xRy$ and $yRx$ Now, I don't really understand the following proposition: ...
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 ...
3
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1answer
530 views

separable utility function and cross price effect

Suppose that consumer's utility function for three goods is separable, that is, $U(x_1, x_2, x_3) = f_1(x_1) + f_2(x_2) + f_3(x_3)$ ...(i) where $f_i$ is increasing and strictly concave, i=1,2,3. ...