In this paper we describe the extreme points of two closely related polytopes that are assigned to a digraph. The first polytope is the set of all sharing vectors (elements from the unit simplex) such that each node gets at least as much as each of its successors. The second one is the set of...

In this paper we describe the extreme points of two closely related polytopes that are assigned to a digraph. The first polytope is the set of all sharing vectors (elements from the unit simplex) such that each node gets at least as much as each of its successors. The second one is the set of...

In this paper we investigate the use of Petri nets in software engineering extending the classical software development process with simulation and mathematical analysis based on place/transition nets. The advantage is that equirements can be validated earlier and fault detection and correction...

This paper provides a survey of recent experimental work in economics focusing on social and economic networks. The experiments consider networks of coordination and cooperation, buyer-seller networks, and network formation

The knowledge constraints and transactions costs imposed by geographical distance, network connections and time conspire to justify local behavior as a good approximation for global rationality. We consider a class of games to illustrate this relationship and raise some questions as to what...