Questions tagged [mathematical-economics]

The application of mathematical methods to represent theories and analyze problems in economics.

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5answers
4k views

Topological concepts in economic theory

QUESTION: What are the major or systematic applications of post-1960s mathematics to microeconomics? For example, in the late 19th century, Fisher first used the mathematical ideas of Gibbs to ...
4
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2answers
735 views

What are the most recent devopments with applying fractals to economics?

I was researching fractals for my senior mathematics presentation and discovered that one of the most recent pioneers in that section of the field was able to apply fractal mathematics to the field of ...
12
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3answers
932 views

Consumer optimum in an economy with a continuum of commodities

Consider an economy with a continuum of commodities, with one commodity for each point in $[0,1]$. Suppose a consumer wants to maximise $$U = \int_0^1 c_i^\theta\,di\qquad 0<\theta<1$$ subject ...
7
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4answers
778 views

Simulating a Hamilton-Jacobi-Bellman

Say I have solved an HJB of the form: $\rho V(k) = \max_c g(c) + V'(k)(z - c)$ I have calibrated $\rho$ to monthly parameters. I would like to simulate the development of $k$. I start with $k(0)$. ...
5
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0answers
81 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 ...
12
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4answers
10k views

Is complex analysis used in economics?

It's frequently useful in physics and engineering applications; are there any applications in theoretical economics? (If not, were there any attempts at incorporating CA that just never caught on?) ...
67
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13answers
20k views

Fundamental equations in economics

For the other sciences it´s easy to point to the most important equations that ground the discipline. If I want to explain Economics to a physicist say, what are considered to be the most important ...
5
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1answer
193 views

The relation between the Black-Scholes model and quantum mechanics [closed]

As an active participant on the Physics Stack Exchange I have, on several separate occasions, run into some vague remarks about the 'intimate relation' between the famous Black-Scholes model in ...

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