Probabilistic network values

Surajit Borkotokey; Subhadip Chakrabarti; Robert P. Gilles; Loyimee Gogoi; Rajnish Kumar

doi:10.1016/j.mathsocsci.2021.07.003

Probabilistic network values

Surajit Borkotokey, Subhadip Chakrabarti, Robert P. Gilles, Loyimee Gogoi, Rajnish Kumar^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

83 Downloads (Pure)

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.

Original language	English
Pages (from-to)	169-180
Number of pages	12
Journal	Mathematical Social Sciences
Volume	113
Early online date	26 Jul 2021
DOIs	https://doi.org/10.1016/j.mathsocsci.2021.07.003 https://doi.org/10.1016/j.mathsocsci.2021.07.003
Publication status	Published - Sept 2021

Bibliographical note

Funding 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 .

Publisher Copyright:
© 2021 Elsevier B.V.

Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

Keywords

Axiomatic characterization
Probabilistic network game
The probabilistic Myerson value
The probabilistic position value

ASJC Scopus subject areas

Sociology and Political Science
General Social Sciences
General Psychology
Statistics, Probability and Uncertainty

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10.1016/j.mathsocsci.2021.07.003

Probabilistic Network Values
© 2021 Elsevier B.V. All rights reserved. This manuscript is distributed under a Creative Commons Attribution-NonCommercial-NoDerivs License (https://creativecommons.org/licenses/by-nc-nd/4.0/), which permits distribution and reproduction for non-commercial purposes, provided the author and source are cited.
Accepted author manuscript, 774 KBLicence: CC BY-NC-ND

Cite this

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title = "Probabilistic network values",

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.",

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author = "Surajit Borkotokey and Subhadip Chakrabarti and Gilles, {Robert P.} and Loyimee Gogoi and Rajnish Kumar",

note = "Funding 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 . Publisher Copyright: {\textcopyright} 2021 Elsevier B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

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AU - Borkotokey, Surajit

AU - Chakrabarti, Subhadip

AU - Gilles, Robert P.

AU - Gogoi, Loyimee

AU - Kumar, Rajnish

N1 - Funding 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 . Publisher Copyright: © 2021 Elsevier B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/9

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N2 - 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.

AB - 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.

KW - Axiomatic characterization

KW - Probabilistic network game

KW - The probabilistic Myerson value

KW - The probabilistic position value

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U2 - 10.1016/j.mathsocsci.2021.07.003

DO - 10.1016/j.mathsocsci.2021.07.003

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VL - 113

SP - 169

EP - 180

JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

ER -

Probabilistic network values

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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