We consider the envy-free pricing problem, in which we want to compute revenue maximizing prices for a set of products P assuming that each consumer from a set of consumer samples C will buy the product maximizing her personal utility, i.e., the difference between her respective budget and the product's ... more >>>

Consider a weather forecaster predicting a probability of rain for
the next day. We consider tests that given a finite sequence of
forecast predictions and outcomes will either pass or fail the
forecaster. Sandroni (2003) shows that any test which passes a
forecaster who knows the distribution of nature, can ... more >>>

We show that for any $p \geq 2$, lattice problems in the $\ell_p$
norm are subject to all the same limits on hardness as are known
for the $\ell_2$ norm. In particular, for lattices of dimension
$n$:

* Approximating the shortest and closest vector in ... more >>>