We consider a class of cooperative network games with transferable utilities in which players interact through a probabilistic network rather than a regular, deterministic network. In this class of wealth-generating situations we consider probabilistic extensions of the Myerson value and the position value. For the subclass of probabilistic network games in multilinear form, we establish characterizations of these values using an appropriate formulation of component balancedness. We show axiomatizations based on extensions of the well-accepted properties of equal bargaining power, balanced contributions, and balanced link contributions.
Bibliographical noteFunding Information:
We thank two anonymous referees for their valuable comments and suggestions on previous drafts that greatly improved this paper. Surajit Borkotokey and Rajnish Kumar acknowledge financial support provided by British Council Grant UGC-UKIERI 2016-17-059 . Surajit Borkotokey also acknowledges financial support from ASTEC Grant Nos. ASTEC/S and T/192(171)/2019-20/2762 .
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- Axiomatic characterization
- Probabilistic network game
- The probabilistic Myerson value
- The probabilistic position value
ASJC Scopus subject areas
- Sociology and Political Science
- Social Sciences(all)
- Statistics, Probability and Uncertainty