Probabilistic Network Values

28 Pages Posted: 17 Sep 2020 Last revised: 19 Sep 2020

See all articles by Surajit Borkotokey

Surajit Borkotokey

Dibrugarh University

Subhadip Chakrabarti

Queen's University Management School

Robert P. Gilles

Queen's University Belfast - Queen's Management School

Loyimee Gogoi

Northwestern Polytechnical University

Rajnish Kumar

Queen's University Management School

Date Written: September 14, 2020

Abstract

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.

Keywords: Probabilisitic network game, the probabilistic Myerson value, the probabilistic Position value, axiomatic characterization

JEL Classification: C71, D85

Suggested Citation

Borkotokey, Surajit and Chakrabarti, Subhadip and Gilles, Robert P. and Gogoi, Loyimee and Kumar, Rajnish, Probabilistic Network Values (September 14, 2020). QMS Research Paper 2020/08, Available at SSRN: https://ssrn.com/abstract=3692371 or http://dx.doi.org/10.2139/ssrn.3692371

Surajit Borkotokey

Dibrugarh University ( email )

Dibrugarh - 786 004
Assam, IN Assam 786004
India

Subhadip Chakrabarti

Queen's University Management School ( email )

25 University Square
Belfast, Northern Ireland BT7 1NN
Northern Ireland
+44 0 28 9097 3273 (Phone)

HOME PAGE: http://www.qub.ac.uk/schools/SchoolofManagementandEconomics/Staff/ChakrabartiSubhadip/

Robert P. Gilles

Queen's University Belfast - Queen's Management School ( email )

Riddel Hall
185 Stranmillis Road
Belfast, BT9 5EE
United Kingdom

Loyimee Gogoi

Northwestern Polytechnical University ( email )

Xian

Rajnish Kumar (Contact Author)

Queen's University Management School ( email )

25 University Square
Belfast, Northern Ireland BT7 1NN
Northern Ireland

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