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2019 | OriginalPaper | Chapter

An Optimization Model for Solving Stochastic Cooperative Games

Authors : Assem Tharwat, Marwa Sabry, Ihab El-Khodary

Published in: Creative Business and Social Innovations for a Sustainable Future

Publisher: Springer International Publishing

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Abstract

This paper introduces an optimization model for a new class of cooperative games arising from cooperative decision making problems in a stochastic environment. This class of games considers cooperative games in stochastic characteristic function form (stochastic payoffs). In this type of games, the players only know probability distribution of the stochastic payoffs and the actions available for a coalition to choose from are explicitly modelled as opposed to the deterministic games. In this model, the core of the game is not empty, where the solution allocation vector of the corresponding payoff is preferable over any other allocation. The proposed model is applied to the Gaussian valued cooperative games.

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Metadata
Title
An Optimization Model for Solving Stochastic Cooperative Games
Authors
Assem Tharwat
Marwa Sabry
Ihab El-Khodary
Copyright Year
2019
Book
Creative Business and Social Innovations for a Sustainable Future

Print ISBN: 978-3-030-01661-6

Electronic ISBN: 978-3-030-01662-3

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-01662-3_4