Cost Sharing in Chains and Other Fixed Trees

Sharing the \Cost" of Multicast Trees: An Axiomatic Analysis y

Given the need to provide users with reasonable feedback about the \costs" their network usage incurs, and the increasingly commercial nature of the Internet, we believe that the allocation of cost among users will play an important role in future networks. This paper discusses cost allocation in the context of multicast ows. The question we discuss is this: when a single data ow is shared amon...

Sharing the \Cost" of Multicast Trees: An Axiomatic Analysis1

Given the need to provide users with reasonable feedback about the \costs" their network usage incurs, and the increasingly commercial nature of the Internet, we believe that the allocation of cost among users will play an important role in future networks. This paper discusses cost allocation in the context of multicast ows. The question we discuss is this: when a single data ow is shared amon...

Trust and Information Sharing in Supply Chains

Drawing on empirical and experimental research into the composition and development of trust, we construct a multi-period model to examine the role of trust in a supply chain. We specifically focus on trust building in the context of a wholesale salesperson who acts as a representative of a manufacturer and shares demand forecast information with a retailer. The actions of the salesperson affec...

Prime Chains and Pratt Trees

ABSTRACT. We study the distribution of prime chains, which are sequences p1, . . . , pk of primes for which pj+1 ≡ 1 (mod pj) for each j. We first give conditional upper bounds on the length of Cunningham chains, chains with pj+1 = 2pj+1 for each j. We give estimates for P (x), the number of chains with pk 6 x (k variable), and P (x; p), the number of chains with p1 = p and pk 6 px. The majorit...

Mobs, Trees, and Fixed Points