Selection-based Approach to Cooperative Interval Games

Jan Bok; Milan Hladík

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Paper

Selection-based Approach to Cooperative Interval Games

Topics: Game Theory

In Proceedings of the International Conference on Operations Research and Enterprise Systems ICORES - Volume 1, 34-41, 2015 , Lisbon, Portugal

Authors: Jan Bok and Milan Hladík

Affiliation: Charles University in Prague, Czech Republic

Keyword(s): Cooperative Game Theory, Interval Analysis, Core.

Related Ontology Subjects/Areas/Topics: Game Theory ; Methodologies and Technologies ; Operational Research

Abstract: Cooperative interval games are a generalized model of cooperative games in which worth of every coalition corresponds to a closed interval representing the possible outcomes of its cooperation. Selections are all possible outcomes of the interval game with no additional uncertainty. We introduce new selection-based classes of interval games and prove their characterizations and relations to existing classes based on the weakly better operator. We show new results regarding the core and imputations. Then we introduce the definition of strong imputation and strong core. We also examine a problem of equality of two different versions of core, which is the main stability solution of cooperative games.

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Paper citation in several formats:

Bok, J. and Hladík, M. (2015). Selection-based Approach to Cooperative Interval Games. In Proceedings of the International Conference on Operations Research and Enterprise Systems - ICORES; ISBN 978-989-758-075-8; ISSN 2184-4372, SciTePress, pages 34-41. DOI: 10.5220/0005221600340041

@conference{icores15,
author={Jan Bok. and Milan Hladík.},
title={Selection-based Approach to Cooperative Interval Games},
booktitle={Proceedings of the International Conference on Operations Research and Enterprise Systems - ICORES},
year={2015},
pages={34-41},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005221600340041},
isbn={978-989-758-075-8},
issn={2184-4372},
}

TY - CONF

JO - Proceedings of the International Conference on Operations Research and Enterprise Systems - ICORES
TI - Selection-based Approach to Cooperative Interval Games
SN - 978-989-758-075-8
IS - 2184-4372
AU - Bok, J.
AU - Hladík, M.
PY - 2015
SP - 34
EP - 41
DO - 10.5220/0005221600340041
PB - SciTePress