Shapley Value is Not Applicable to Network Access Pricing

P-value: What is and what is not

The misinterpretation and misuse of p-value have been increasing for decades. In March 2016, the American Statistical Association released a statement to warn about the use and interpretation of p-value. In this study, we provided a definition and discussion of p-value and emphasized the importance of its accurate interpretation.    

Weighted Aumann-Shapley pricing

Cost allocation problems arise in many contexts in economics and management science. In a typical problem that we have in mind, a decision maker must decide how to allocate the joint cost of production among several commodities using prices. Furthermore, these prices must satisfy certain reasonable postulates among which is the requirement that total revenue associated with these prices must co...

Aumann-Shapley and Shapley value-based priority pricing: an approach to congestion control in data networks (extended summary)

Common problems in telecommunications networks are usually related to optimal network design and to establishing reasonable cost allocation criteria. Such cost allocation methods do not have to do only with infrastructure costs but also with the effects that a set of users cause on other users' quality of service by using shared network resources. This is precisely the problem of congestion. Al...

The Shapley group value

Following the original interpretation of the Shapley value (Shapley, 1953a) as a priori evaluation of the prospects of a player in a multi-person interaction situation, we propose a group value, which we call the Shapley group value, as a priori evaluation of the prospects of a group of players in a coalitional game when acting as a unit. We study its properties and we give an axiomatic charact...

64 The Shapley Value