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

1 vote

How likely are the Sonnenschein-Mantel-Debreu results?

The space of economies can certainly be modeled as a measure space. Perturbing an economy (the parameters of preferences and production functions) generally changes the excess demand function continuo …
Sander Heinsalu's user avatar
2 votes

Quasiconcavification

In one dimension if the functions $f_i$ are bounded, e.g. defined on a compact interval, then yes. Take $g_1$ such that it makes $f_1$ almost constant, e.g. $g_1(x)=\frac{x}{N(\max f_1-\min f_1)}$ whe …
Sander Heinsalu's user avatar
2 votes
Accepted

Is there a universal type space involving infinite players?

Countably infinite is easy to extend to, no obstacles. You can use results by Moss and Viglizzo (2006). I will also shamelessly promote my own work Universal type structures with unawareness that math …
Sander Heinsalu's user avatar
4 votes
Accepted

For what demand function is a monopoly most harmful?

An arbitrarily large ratio should occur with demand curve $P=\begin{cases} \frac{1}{Q} & \text{if } Q>1 \\ 2-Q & \text{if } Q\leq 1 \\ \end{cases}$. The monopolist prices at $P=1$, but the consumer …
Sander Heinsalu's user avatar