We consider the problem of selecting fair divisions of a heterogeneous divisible good among a set of agents. Recent work (Cohler et al., AAAI 2011) focused on designing algorithms for computing maxsum—social welfare maximizing—allocations under the fairness notion of envyfreeness. Maxsum allocations can also be found under alternative notions such as equitability. In this paper, we examine the ...

An arrangement of hyperplanes in E'' is a "plaid" provided its hyperplanes form no multiple flats of intersection and lie in parallel families that are in general position. We develop some geometrically natural formulas for the number of r-faces that are formed by such an arrangement.

The period since World War Two has been marked by a great deal of civil war. Most of these civil wars have been ethnic civil wars. This paper presents a one shot game of ethnic conflict. The government is endowed with goods that it distributes among ethnic groups. The government is initially controlled by one of the groups and other factions can expend resources to fight for control of the gove...

the study of the sentence and its divisions has been always a cause of difference in syntactical viewpoints among the ancient and modern arab grammarians. ibn hesham sees three divisions for the arabic sentence: the noun sentence, the verb sentence and the adverb sentence. the adverb sentence in his view is that in which a time or place adverb or a prepositional phrase is the predicate proceede...