6533b85cfe1ef96bd12bd41a
RESEARCH PRODUCT
Values of games with probabilistic graphs
Anne Van Den NouwelandJ. Javier LasagaEmilio Calvosubject
Computer Science::Computer Science and Game TheorySociology and Political ScienceIf and only ifComputingMilieux_PERSONALCOMPUTINGProbabilistic logicGeneral Social SciencesStatistics Probability and UncertaintyDirect communicationShapley valueMathematical economicsGeneral PsychologyGraphMathematicsdescription
Abstract In this paper we consider games with probabilistic graphs. The model we develop is an extension of the model of games with communication restrictions by Myerson (1977) . In the Myerson model each pair of players is joined by a link in the graph if and only if these two players can communicate directly. The current paper considers a more general setting in which each pair of players has some probability of direct communication. The value is defined and characterized in this context. It is a natural extension of the Myerson value and it turns out to be the Shapley value of a modified game.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-01-01 |