Questions tagged [academic-graduate]

Expert level questions which do not arise prior to graduate studies in economics.

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11 votes
2 answers
1k views

Inflation and economic growth

Noticeable works about the impact of inflation on economic growth are dated back to the 90s. For example, Barro (1995): the impact effects from an increase in average inflation by 10 percentage ...
Anton Tarasenko's user avatar
15 votes
1 answer
584 views

Stochastic growth in continuous time

Literature: See Chang (1988) for theoretical part and Achdou et al. (2015) for numerical part respectively. Model Consider the following stochastic optimal growth problem in per capita notation. \...
clueless's user avatar
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11 votes
3 answers
1k views

Does risk aversion cause diminishing marginal utility, or vice versa?

Let $A$ be the set of possible states of the world, or possible preferences a person could have. Let $G(A)$ be the set of "gambles" or "lotteries", i.e. the set of probability distributions over $A$. ...
Keshav Srinivasan's user avatar
8 votes
1 answer
257 views

Splittet Value Function and Hamilton-Jacobi-Bellman equation

General Problem Let $k\in\mathbb{R}_+$ be the state variable, $k=k^*$ a fixed point (saddle) and $v(k)$ a value function. The problem is, that the value function has two distinct functional forms, ...
clueless's user avatar
  • 1,569
4 votes
1 answer
186 views

Why does $\varepsilon_{x,p_x}^H =-s_y \sigma $?

Suppose I have two goods $x$ and $y$ and their associated prices $p_x$ and $p_y$. Income $m$. $x^H$ is Hicksian demand and $x^M$ is Marshallian demand. Slutsky Equation: $$\frac{\partial x^M}{\...
Stan Shunpike's user avatar
3 votes
2 answers
675 views

Does there always exist a consumption bundle at which the indirect utility function is the inverse of the expenditure function?

Two questions: Given $v(\vec{p},m)$ and $e(\vec{p},\bar{U})$, is there only a single point at which these are inverses of each other? Does an inverse always exist for a given price vector $\vec{p}$,...
Stan Shunpike's user avatar
1 vote
1 answer
73 views

How to derive formula for marginal probability of choosing nest in nested logit model?

I am trying to understand all the details of the nested logit and what confuses me is the formula for marginal probability of choosing the nest. In more details: the joint probability of individual n ...
Daria's user avatar
  • 29
1 vote
1 answer
1k views

What are some applications of Real Analysis in Graduate Economics?

I am interested as to what areas of masters/PhD coursework that learning the fundamentals of Real Analysis would be beneficial for? I am aware of its applications in Econometrics proofs and analysis, ...
Brennan's user avatar
  • 620