The VL control measure for symmetric networks

Autor: Hendrickx, R.L.P., Borm, P.E.M., van den Brink, J.R., Owen, G.
Přispěvatelé: Research Group: Economics, Research Group: Operations Research, Econometrics and Operations Research
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Zdroj: Social Networks, 31(1), 85-91. Elsevier BV
ISSN: 0378-8733
Popis: In this paper we measure “control” of nodes in a network by solving an associated optimisation problem. We motivate this so-called VL control measure by giving an interpretation in terms of allocating resources optimally to the nodes in order to maximise some search probability. We determine the VL control measure for various classes of networks. Furthermore, we provide two game theoretic interpretations of this measure. First it turns out that the VL control measure is a particular proper Shapley value of the associated cooperative network game. Secondly, we relate the measure to optimal strategies in an associated matrix search game.
Databáze: OpenAIRE