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Orders of criticality in voting games

Author

Listed:
  • Marco Dall'Aglio
  • Vito Fragnelli
  • Stefano Moretti

Abstract

The authors focus on the problem of investigating the blackmail power of players in simple games, which is the possibility of players of threatening coalitions to cause them loss using arguments that are (apparently) unjustified. To this purpose, the classical notion of the criticality of players has been extended, in order to characterize situations where players may gain more power over the members of a coalition thanks to collusion with other players.

Suggested Citation

  • Marco Dall'Aglio & Vito Fragnelli & Stefano Moretti, 2016. "Orders of criticality in voting games," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 26(2), pages 53-67.
    • Handle: RePEc:wut:journl:v:2:y:2016:p:53-67:id:1221
    DOI: 10.5277/ord160204
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    Cited by:

    1. Michele Aleandri & Marco Dall’Aglio & Vito Fragnelli & Stefano Moretti, 2022. "Minimal winning coalitions and orders of criticality," Annals of Operations Research, Springer, vol. 318(2), pages 787-803, November.
    2. Michele Aleandri & Marco Dall'Aglio, 2022. "With a little help from my friends: essentiality vs opportunity in group criticality," Papers 2207.03565, arXiv.org, revised Feb 2024.

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