Following up on the work of Megiddo and Vazirani \cite{MV.2007}, who
determined continuity properties of equilibrium prices and
allocations for perhaps the simplest market model, Fisher's linear
case, we do the same for:
\begin{itemize}
\item
Fisher's model with piecewise-linear, concave utilities
\item
Fisher's model with spending constraint utilities
\item
Arrow-Debreu's ... more >>>

We exhibit a new computational-based definition of awareness,
informally that our level of unawareness of an object is the amount
of time needed to generate that object within a certain environment.
We give several examples to show this notion matches our intuition
in scenarios where one organizes, accesses and transfers
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A theorem of Green, Tao, and Ziegler can be stated (roughly)
as follows: if R is a pseudorandom set, and D is a dense subset of R,
then D may
be modeled by a set M that is dense in the entire domain such that D and
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