All Questions

14
votes
0answers
336 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
301 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 ...
11
votes
0answers
195 views

How accurate is duality?

In economic theory we know that with the use of some calculus, Hotellings Lemma and Sheppards lemma we can derive a given firms supply function and in term its Profit function. With data of a given ...
9
votes
0answers
341 views

Calculus and Indifference Curves in an Urban Economics Example

I am reading the paper 'The Structure of Urban Equilibria' by Jan Brueckner. It uses a monocentric city model, where all consumers earn income $y$ at the centre of the city. They buy $q$ housing for ...
9
votes
0answers
212 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 ...
9
votes
0answers
231 views

Show that $W_t - \int_0^t \xi_s ds$ is forward-measure-Brownian

Definitions and stuff: Consider a filtered probability space $(\Omega, \mathscr F, \{\mathscr F_t\}_{t \in [0,T]}, \mathbb P)$ where $$T > 0$$ $$\mathbb P = \tilde{\mathbb P}$$ This is risk-...
9
votes
0answers
549 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 ...
9
votes
0answers
377 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 ...
9
votes
0answers
618 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 ...
8
votes
0answers
150 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,\...
8
votes
0answers
259 views

LEN-Model equivalency

Starting position is a principal-agent-model with incomplete information (moral hazard) and the following properties: Agent utility: $u(z)=-e^{(-r_az)}$ Principal utility: $B(z)=-e^{(-r_pz)}$ Effort ...
7
votes
0answers
55 views

Rothschild-Stiglitz working paper?

I recently rediscovered Rothschild and Stiglitz's classic paper, "Equilibrium in Competitive Insurance Markets". In footnote 7, they refer to an earlier version of their paper for details on the ...
6
votes
0answers
59 views

Kőszegi - Rabin (2006) model problem

First of all, that's a homework question, and I will try to make it as useful to future readers as possible. Problem So, I was given a problem about the model described by Botond Kőszegi and ...
6
votes
0answers
64 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. ...
6
votes
0answers
384 views

Estimating elasticity of substitution in nested CES functions

I have aggregate data on $L_t, K_t$ and $X_t$, and want to estimate elasticity of substitution parameters, $\gamma$ and $\sigma$ for these factors. Assuming the production function takes the following ...
6
votes
0answers
84 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
57 views

Increasing prevalence of price discrimination

It seems to me that the variation of prices for similar or identical products has grown over the last decade. A few examples: On major air routes, price differences between low-cost and traditional ...
6
votes
0answers
47 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
0answers
179 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 ...
5
votes
0answers
49 views

Economics of Homelessness: Are housing prices to blame?

Lots has been written in terms of the social context of homelessness. Often attributing the causes due to mental illness, previous criminal activity and addiction. I've been wondering, how much of a ...
5
votes
0answers
180 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 ...
5
votes
0answers
39 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
115 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
72 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 ...
5
votes
0answers
21 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 ...
5
votes
0answers
159 views

Why are inventions inevitably correlated with imperfect competition?

Romer (1990) elaborates the incompatibility of nonrival inputs with constant returns to scale: If a production function depends on rival and nonrival inputs and both inputs are productive, then the ...
5
votes
0answers
74 views

Principal's beliefs in a repeated moral hazard problem

I have a question about models of repeated principal-agent models. There is this famous piece by Bengt Holmstrom: Moral hazard and observability, 1979, The Bell Journal of Economics. It presents the ...
5
votes
0answers
55 views

References on mathematically rigorous general equilibrium theories

I'm looking for a relatively recent survey on the state of the art for mathematical general equilibrium. I'm especially interested in questions of uniqueness, stability and dynamics. (I'm planing on ...
5
votes
0answers
140 views

Did a similar property boom take place in another country or throughout history like we have seen in London? If so how did it effect the economy?

The London property market has seen a sharp increase in the average house price. If we go back to the 70's the average UK and average London price were almost the same, however since than the gap has ...
5
votes
0answers
143 views

On the uniqueness of utility functions for both risk and time

I have a question regarding the uniqueness of preference functionals under risky and dynamic settings. Two well known models to represent preferences for both settings are the Expected Utility Model ...
5
votes
0answers
1k 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{...
5
votes
0answers
178 views

Arguments against inheritance tax

One of the arguments against inheritance tax is that it lowers the incentive to work for those close to retirement who have earnt enough money to be comfortable in old age. How much is this offset ...
5
votes
0answers
57 views

Game with predatory player (reference request)

I am interested in a multiplayer game where one player gains utility, not just by winning, but by seeing one other player (chosen in advance) lose (or come in last place if the game has an ordered ...
5
votes
0answers
140 views

Consumption-Leisure Elasticity

The macro-literature insists on a consumption-leisure elasticity of 0 to match the balanced growth fact of constant labor supply. Is there any paper that tries to evaluate this elasticity using ...
5
votes
0answers
220 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{...
5
votes
0answers
182 views

How do supply chains form?

I am trying to put forth a theory for endogenous supply chain formation. A set of $K$ complementary tasks need to be performed to manufacture a good $G$. If manufactured, there exists a demand ...
5
votes
0answers
95 views

How does a bank convert one currency to another?

Say for example I sell ZAR and buy USD. What happens behind the scenes so that the local ZAR bank is able to deposit USD into my account? Does the bank require some sort of USD cash reserve? How do ...
5
votes
0answers
93 views

What major monetary policy actions were taken during the Great Recession (2007-2009)?

What major monetary policy actions were taken during the Great Recession (2007-2009)? Quantitative easing and unconventional policy actions such as asset purchases and "forward guidance". I think I'm ...
5
votes
0answers
49 views

Empirical evidence on what makes a border adjustment successful at correcting a distortion without exporting externalities?

One of the challenges of constructing a national or regional market-correction scheme to remove the distortions from negative externalities, is that such a scheme is liable to create leakage: for ...
5
votes
0answers
77 views

Simulations Using Binomial Coefficients

In closed loop toy models with a fixed money supply, what are the downsides of calculating probable outcomes with a binomial coefficient? For example, given a toy economy where trades yield a profit ...
4
votes
0answers
63 views

How Africans use their wages?

I was researching poverty in Africa and was reading about their daily wages. Based on the article linked, 2/3 of Africans live on less than $1.25 USD, a day. However, what this article and many ...
4
votes
0answers
70 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-...
4
votes
0answers
76 views

Nash equilibrium for Bertrand Model with Spatial Differentiation

Consider a town with consumers represented by a closed interval $[0,2]$ with the consumers spread continuously and uniformly. There are two stores, $A$ and $B$ who sell the same product at $p_A$ and $...
4
votes
0answers
34 views

Simultaneous consumption tax and subsidy

Suppose the government introduces a simultaneous tax and subsidy on a consumption good, which is produced under perfect competition. If the tax and the subsidy are equal, then there will be no ...
4
votes
0answers
30 views

Mechanics of Sterilized Intervention?

I'm looking to see if someone can help improve my understanding of sterilized intervention in FX markets. My intuition/understanding is: Assume that the domestic currency is depreciating, perhaps ...
4
votes
0answers
46 views

Existence of nash equilibria in finite games

I was going through the proof of existence of a Nash Equilibria in finite normal form games (Proof via Brouwer’s theorem) and got a question regarding the requirement of finiteness for the number of ...
4
votes
0answers
18 views

Random effect Vs Fixed effect with the 10 CAN provs as cross sections

Im working on a model examining the effect of minimum wages on employment over the 10 provinces using a panel data set. I have used the Hausman test to decide to use RE or FE, in which it recommended ...
4
votes
0answers
28 views

Max Likelihood Estimators of a stable Gaussian VAR$(p)$ process. Are the Lutkepohl formulas correct?

In «New Introduction to Multiple Time Series», page 90, we have the following formulas for the ML estimators of a stable Gaussian VAR$(p)$ process: where $\tilde \alpha = vec(\tilde A_1,...,\tilde ...
4
votes
0answers
92 views

Understanding the Diewertt Cost Function

The Diewert cost function (as described in Microeconomic Analysis by Hal Varian 3rd Edition) takes the form of: $$c(w,y)=y\sum_{i=1}^k\sum_{j=1}^kb_{ij}\sqrt{w_iw_j}$$ Varian goes on to say (page ...
4
votes
0answers
31 views

Economic valuation of green spaces using GIS

I was wondering if there are any standard methods that are employed to obtain insight of the economic value of tree cover in a particular area. I assumed using negative difference vegetation index ...

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