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Selection-Based Approach to Cooperative Interval Games

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Operations Research and Enterprise Systems (ICORES 2015)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 577))

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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 characterization theorems and relations to existing classes based on the interval weakly better operator. We show a new results regarding the core and imputations and examine a problem of equality of two different versions of core, which is the main stability solution of cooperative games. Then we introduce definition of strong imputation and strong core as a universal solution concept of interval games.

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Acknowledgements

The authors were supported by the Czech Science Foundation Grant P402/13-10660S. The work was supported by the grant SVV 2015 260223.

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Authors and Affiliations

  1. Computer Science Institute, Charles University in Prague, Malostranské náměstí 25, 11800, Prague, Czech Republic

    Jan Bok

  2. Department of Applied Mathematics, Faculty of Mathematics and Physics, Charles University in Prague, Malostranské náměstí 25, 11800, Prague, Czech Republic

    Milan Hladík

Authors
  1. Jan Bok
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  2. Milan Hladík
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Corresponding author

Correspondence to Jan Bok .

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Editors and Affiliations

  1. EPFL SB-DO, Lausanne, Switzerland

    Dominique de Werra

  2. MAS of INFORMS, Madison, Alabama, USA

    Greg H. Parlier

  3. Complutense University, Madrid, Spain

    Begoña Vitoriano

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Bok, J., Hladík, M. (2015). Selection-Based Approach to Cooperative Interval Games. In: de Werra, D., Parlier, G., Vitoriano, B. (eds) Operations Research and Enterprise Systems. ICORES 2015. Communications in Computer and Information Science, vol 577. Springer, Cham. https://doi.org/10.1007/978-3-319-27680-9_3

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  • DOI: https://doi.org/10.1007/978-3-319-27680-9_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-27679-3

  • Online ISBN: 978-3-319-27680-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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