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19
votes
0answers
544 views

How do I use the Malliavin calculus to solve for the optimal trading strategy in the classic Merton problem?

How do I use the Malliavin calculus to solve for the optimal trading strategy in the classic Merton problem? In Duffie's book "Dynamic Asset Pricing," he outlines the "Martingale method" of solving ...
13
votes
0answers
869 views

How do I compute the relative risk aversion of Epstein-Zin preferences?

$$ \newcommand{\E}{\mathbb{E}} $$ Preface This question is related to this one about the elasticity of intertemporal substitution and this one about the definition of absolute risk aversion. (It's ...
12
votes
0answers
416 views

Can I refine the set of equilibria in a signaling game to the sender-optimal outcome?

Main question: I've been reading about communication games a lot, and I'm wondering if there are good criteria to select between two separating-ish equilibria. I think of a separating equilibria as ...
10
votes
0answers
258 views

Proofs in the Appendix A of Sannikov (2007)

I have a few questions about the proofs in Appendix A of Sannikov (2007), Games with Imperfectly Observable Actions in Continuous Time. In lemma 4, when he shows the Lipschitz continuity of $H_a(w,\...
10
votes
0answers
134 views

Queuing Discipline and Lipschitz Continuity

I was reading a paper by Platz and Østerdal (2014) titled "The curse of the first-in-first-out queue discipline". I was wondering about a particular section of it, particularly the part about last-in-...
10
votes
0answers
450 views

How can I test for autoregressive residual terms in a fixed effects panel Poisson model?

I have panel data for counts of new firms in different regions for six years. I am estimating a static poisson regression with multiplicative fixed effects$^*$; I have also tried to estimate a dynamic ...
10
votes
0answers
797 views

Modern theory of integrability of demand?

I am aware of Hurwickz Uzawa work in integability, neatly summarized by Border http://people.hss.caltech.edu/~kcb/Notes/Demand4-Integrability.pdf I am wondering if there is any modern treatment of the ...
9
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0answers
369 views

Local and Central Wage Bargaining: What Is the Difference?

Consider the following setting: Profit maximizing firms with production functions $\Pi(w,L)$, where $w$ is the wage and $L$ is employment. Unions who want to maximize the expected utility of their ...
8
votes
1answer
2k views

What is the purpose of the local non-satiation assumption in the first welfare theorem?

The profit maximization assumption implies $$\text{if } x_i \succ x_i^* \text{ then } p_ix_i > p_i w_i$$ Okay so this just says if the agent is utility maximizing / rational, then if he doesn't ...
7
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0answers
46 views

Lab experiments of labour markets

I have been searching for papers that conduct lab experiments simulating a labour market, that means for a minimum there are both participants taking the role of firms, and participants taking the ...
7
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0answers
105 views

Replicating a state-space model

I am trying to replicate the results of Cochrane, 1998. Most of the paper is just describing the theory behind The Fiscal Theory of the Price Level. But from p. 42 he begins the econometrics aspect. ...
7
votes
0answers
287 views

Pure exchange economy: Set of multiple equilibria endowments

Initial endowments which can result in multiple equilibria in a pure exchange economy are explained here. Given a pure exchange economy, that is given the utility functions (which fulfil the usual ...
7
votes
1answer
146 views

Uniform bounds on rate of merging for Bayesian learners

Update. Cross posted at Cross Validated. In a well-known paper, Blackwell & Dubins (1962) show that the posterior probabilities of two Bayesian agents, whose priors agree on events of measure $0$,...
7
votes
0answers
235 views

Has any progress been made on the Pacman Conjecture on Finite Time Horizons?

The Pacman conjecture states that the optimal strategy for monopolistic durable goods manufacturers is to set price high and slowly drop it (i.e. eating their way down the demand curve). Empirically ...
6
votes
0answers
37 views

Solving Rational Expectation Models Linear vs. Nonlinear

Since I am coding some linear New Keynesian models in python and solving them under rational expectations (using the method of undetermined coefficients/linear time iteration), I was wondering whether ...
6
votes
0answers
63 views

Small Open Economy Without Government

Suppose we have an economy with a representative consumer with the following utility function: $$U=\sum_{t=0}^\infty\beta^t\frac{c_t^{1-\sigma}}{1-\sigma} $$ There is no uncertainty and the household ...
6
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0answers
76 views

Proof monotonicity on Blackwell sufficient conditions

I need to prove monotonicity assumption on Blackwell’s sufficient conditions for a contraction, that is: Given the operator T defined as $(Tf)(x) = sup [F(x,y)+bf(y)]$ I need to show that $f\leq g\...
6
votes
0answers
328 views

Which is a better intermediate micro textbook: Perloff (with calculus) or baby Varian (with calculus)?

I’m currently learning intermediate microeconomics with calculus. I know to take derivatives, partial derivatives, integrals, and multiple integrals, and I know some basic linear algebra (solving ...
6
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0answers
87 views

Signalling Model (How to solve a differential equation?)

I'm currently reading "SAVING RATES AND POVERTY: THE ROLE OF CONSPICUOUS CONSUMPTION AND HUMAN CAPITAL" by Omer Moav and Zvika Neeman, and I encounter some problem deriving one of the equations. ...
6
votes
0answers
92 views

How do you strategically vote to put someone in last place?

I watch a dumb reality TV show which has a certain number of contestants to start with, and every week one contestant is eliminated. Here's how the elimination process works. Every week a certain ...
6
votes
1answer
2k views

Estimating the rental rate of capital from data

Take the classic optimization problem of the neo-classical firm: \begin{equation} \begin{array}{*2{>{\displaystyle}r}} \mbox{maximize (over $K, L$)} & f(K, L) - RK - WL \end{array} \end{...
6
votes
0answers
108 views

Why aren't there more super-stars in educational content delivery?

The super-star phenomena seems to happen in any field where the marginal cost of distribution is very low. I think teaching could be that way just as much as acting or playing basketball - at least as ...
6
votes
0answers
123 views

Why is poverty worse in larger cities?

In inner cities in the US there is more poverty (as a proportion of the population) than in mid-sized cities or small towns. Do we have a definitive answer as to why this is?
6
votes
0answers
373 views

Dynamic Bertrand competition when players take turns

Consider the following game: There are two players, $i\in\{1,2\}$ Time is discrete and runs to infinity during periods $t=\{1,2,\ldots\}$ At eat point in time, players have a price $p_i(t)\in\mathbb{...
6
votes
0answers
66 views

Futures Market Books

Are there any recommendation for futures market or commodity trading books? I am not interested in trading myself, but would like to have a better understanding of it for my research.
6
votes
2answers
4k views

Elasticity of Durable Goods vs Non-Durable Goods

Does anyone know any seminal reference (either a paper in a top economics journal or a book) that compares own-price elasticities of demand for durable vs non-durable goods? My intuition tells me ...
5
votes
0answers
51 views

Optimal level of consumption in discrete time model with quadratic preferences and infinite horizon

I am trying to derive an expression for the optimal level of consumption in the basic problem: $ max \hspace{1cm} U_t = E_t \left[\sum_{s=t}^{\infty} \beta^{s-t} \left( C_s - a\frac{Cs}{2}^2 \right) ...
5
votes
0answers
33 views

Comparing voting methods when there are only two voters

Consider the Schulze, Kemeny-Young, Ranked Pairs and Borda count voting methods. (The last is obviously the odd one out in this list!) Suppose that there are only two voters. Each voter gives a ...
5
votes
0answers
33 views

Controversy surrounding the Fiscal Theory of the Price Level (FTPL)

I recently started reading a draft of John Cochrane's book on the Fiscal Theory of the Price Level. In the preface he states that the "[...] theoretical controversies are over." However, ...
5
votes
0answers
69 views

In experiments of 2-by-2 games where the dominant action benefits both players, do people frequently choose the other action?

Sayers et al look in Some descriptive aspects of two-person non-zero-sum games at variations of the prisoner dilemma. They had two participants (α and β) pressing press either a black (1) or a red (2) ...
5
votes
1answer
91 views

Derive and Decompose The Aggregate Elasticity of Substitution in CES Economy

The paper is Oberfield & Raval 2021. Consumers have standard Dixit-Stiglitz preferences consuming the bundle $$Y= \left(\sum_{i \in I} D_{i}^{\frac{1}{\varepsilon}} Y_{i}^{\frac{\varepsilon-1}{\...
5
votes
0answers
50 views

How to find an optimal strategy in an auction?

I have asked this question in mathematics forum as well but since I have not recieved an appropriate answer yet, I ask it here as well. Consider an auction of sculptures by four artists: A, B, C and D....
5
votes
0answers
54 views

Constant returns to scale and cost function: $C(p,ty) = tC(p,y)$

How can I prove that for a production function $F:\mathbb X \rightarrow \mathbb R$ with constant returns to scale $$\forall x\in \mathbb X, \forall t > 0: \ \ F(tx) = t F(x)$$ and with the cost ...
5
votes
0answers
108 views

Certainty equivalence when the utility is semi-continuous instead of continuous

Let $U:\mathbb R^2\to\mathbb R$ be a utility function. If $U$ is strictly increasing and continuous, then it is well known that for any $(x_1,x_2)$ there exists a certainty $(c,c)$ such that $$U(x_1,...
5
votes
0answers
65 views

Optimization in discrete time

I have made optimizations in continuous time that belong to the control theory, for example one case: $\max(\min)V[u(t)]=\int_0^Tf(t,x(t),u(t))dt$ constraint to: $\dot x=g(t,x(t),u(t))$ Where: $x(t)$: ...
5
votes
0answers
52 views

Parsing problem 1.D.5 in MWG

I am a little confused about the statement of 1.D.5 in MWG, which I will reproduce here for convenience. I have "solved" the problem, I just don't understand something particular. $\textbf{(...
5
votes
0answers
140 views

Topological intuition to continuous preference relation

For a Microeconomics Course, we are going through MWG, and in the lecture we discussed the notion of a continuous preference relation. A preference relation $\succsim$ on a set $X$ is called ...
5
votes
0answers
13 views

Datasets with pre- and post migration earnings

I am interested in computing the pre- and post-migration earnings of international migrants, especially those migrating from low income to high income countries (or vice versa). The data should allow ...
5
votes
0answers
47 views

Which classical liberal economists promoted the privacy and secrecy of businesses?

Quinn Slobodian (2018) writes: the idea of businessmen opening their account books beyond the firm represented a revision of the classical liberal vision. The privacy of the businessman was no ...
5
votes
0answers
53 views

Estimates of magnitude of externalities generated by education?

It is standard to claim that education generates positive externalities. For example, Mankiw (2017, Principles of Economics, p. 193): education also yields positive externalities. One externality ...
5
votes
0answers
250 views

Public Bads and Non-Excludability

The term "public bad" is sometimes used for "goods" which, like public goods, are non-excludable and non-rival, but which tend to lower rather than raise welfare. Air pollution is an example. For a ...
5
votes
0answers
87 views

Afriat theorem for negative goods

GARP and Afrait theorem assume that the alternative $x\in\mathbb R_+$ is always positive. In some economic contexts, such as financial choices, the attribute can be negative. I wonder if we can ...
5
votes
0answers
128 views

How to interpret the proof that information cascades will form?

I am reading the 1992 paper of Bikchandani, Hirshleifer and Welch on information cascades. They claim and prove that, given an environment of sequential decision making, an information cascade will ...
5
votes
1answer
137 views

Consumer Utility Maximization equivalent of economies of scope

Economies of scope captures the idea of having efficiency in variety. I've come across this idea only in producer theory to capture the idea that companies may benefit from their ability to reduce ...
5
votes
0answers
93 views

Auction mechanism with no trusted third-party

I have been using a double-auction mechanism to solve a two-sided market where multiple agents are competing to supply/use slices of a shared resource. The owner of the resource is a trustable third-...
5
votes
1answer
131 views

Insignificant Interaction effect in applied econometrics (multinomial logit regression)

I'm currently writing my master's thesis where I'm applying a multinomial logit regression with interactions effect. The model I'm using is $$ P(y=j) = exp(xb_j)/(1+∑exp(xb_h)) $$ where $$ xb_j =...
5
votes
1answer
447 views

Labour-saving vs. Labour-augmenting technical change

I've read a number of posts on the above topic but none refers to published empirical papers. Google searches have been hopeless. Does anyone know of any paper on empirical derivation of technical ...
5
votes
0answers
47 views

Letting clients/guest reserve their space vs keeping space clear so that it is available for people who really need it at the moment

Everybody knows that moment when you are in search for a beach lounger but everything is covered by towels, yet the people who placed them there are untraceable, often back at the hotel or in the town ...
5
votes
0answers
392 views

Fact-checking Dan Ariely (2008) on Duke basketball tickets story

In Predictably Irrational (2008, pp. 127-133), Dan Ariely describes the Krzyzewskiville phenomenon (Duke students camp for weeks to get basketball tickets), and how he and Ziv Camron used it to study ...
5
votes
0answers
26 views

Why do co-ops dominate in certain markets rather than more-conventional enterprises?

Why do co-ops dominate in certain markets rather than more-conventional enterprises? For example, the US dairy processing market seems to be dominated co-ops like Land'O Lakes and Dairy Farmers of ...

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