From the previous lecture, we have proved the following lemma. Lemma 1. If the cost vector c t ∈ [−ρ, ρ] n , and T ≥ 4ρ 2 ln n 2 , then average loss 1 T T t=1 p t c t ≤ 1 T T t=1 c t (i) + , ∀i ∈ [n] In this lecture, we are going to see the application of multi-weight algorithm for solving LPs and SDPs. For illustration purpose, we will be working on an LP example (the LP relaxation for set cov...

n June 22, 2012, the Internal Revenue Service (IRS) issued a Notice of Proposed Rulemaking interpreting key provisions of Section 9007 of the Affordable Care Act, “Additional Requirements for Charitable Hospitals.” The proposed rules are related to financial assistance policies, limitations on charges, and billing and collection requirements under Section 501(r) of the Internal Revenue Code (IR...

It is a piece of idle senthentality that truth, merely as truth, has any inherent power denied to error, or prevailing against the dungeon and the stake. Men are not more zealous for truth than they often are for error, and a sufficient application oflegal or even of social penalties will generally succeed in stopping the propagation of either. The real advantage which truth has, consists in th...

This paper develops a theory of the interaction between appropriative conflict and economic growth. Appropriative conflict, as measured by the diversion of resources, is viewed as the cost of securing effective property rights. We identify conditions under which conflict rises or falls as the rate of economic growth improves. The main implication of the analysis is that if the quality of proper...

Though political theorists have emphasized the importance of political discussion in non-political spaces, past study of online political discussion has focused on primarily political websites. Using a random sample from Blogger.com, we find that 25% of all political posts are from blogs that post about politics less than 20% of the time, because the vast majority of blogs post about politics s...