Wrong elements (2017, 2 h 13 min)

Algorithmic Game Theory March 2 , 2017 Lecture 13

In this lecture, we bring money into the picture, while still thinking about a “matching” like problem. Suppose we have: 1. We have m goods G for sale 2. n buyers i who each have valuation functions over bundles, vi : 2 G → [0, 1]. Buyers have quasi-linear utility functions, which means they can (linearly) trade off their value for goods and their value for money. If each good j ∈ G has a price...

of April 13 , 2017 . This

of April 13 , 2017 . This

Lecture 12 : April 13 , 2017

Last Time During the last lecture we completed an argument for a 2 1 d−1 ) lower bound for depth-d circuits for parity (PAR) using Hastad’s Switching Lemma [H̊as87], which stated that, for f : {0, 1} → {−1, 1}, if CNFwidth(f) = t, Pρ←Rp(DNFwidth(f ρ) = s) ≥ (7ps) We proved the Weak Switching Lemma, asserting a (40ps2) lower bound for this probability as opposed to the tighter bound given by the ...

Exposure to ambient PM10 and nitrogen dioxide and ADHD risk: A reply to Min & Min (2017).

Min and Min (2017) conducted an epidemiological investigation that revealed further support of a link between exposure to air pollution and risk for attention-deficit hyperactivity disorder (ADHD) in childhood. We have previously reported that exposure to the agricultural and combustion pollutant, nitrous oxide (N2O), may be a primary environmental trigger in the onset of neurodevelopmental dis...