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The Weighted Core of Games Based on Tactical Decisions

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Modelling and Simulation for Autonomous Systems (MESAS 2019)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 11995))

Abstract

We modify the core axioms towards the so–called weighted solution. We also discuss the corresponding properties of Myerson value. We present a modification of axiomatic definition of solution on the set of games w.r.t. tree structure of the set of players. Significant properties of new solutions are discussed. The theory is motivated by tactical decisions in army and the notions are demonstrated on an example.

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Acknowledgement

The research was supported by a grant no. FSI-S-17-4464.

Author information

Authors and Affiliations

  1. Institute of Mathematics, Faculty of Mechanical Engineering, Brno University of Technology, Brno, Czech Republic

    Jaroslav Hrdina, Petr Vašík & Josef Procházka

  2. University of Defence, Brno, Czech Republic

    Jaroslav Hrdina, Josef Procházka & Libor Kutěj

  3. WSB Uniwersity Dabrówa Gornicza, Dabrówa Gornicza, Poland

    Radomír Ščurek

Authors
  1. Jaroslav Hrdina
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  2. Petr Vašík
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  3. Josef Procházka
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  4. Libor Kutěj
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  5. Radomír Ščurek
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Editor information

Editors and Affiliations

  1. NATO Modelling and Simulation Centre of Excellence, Rome, Italy

    Jan Mazal

  2. MIRPA Lab, University of Palermo, Palermo, Italy

    Adriano Fagiolini

  3. Faculty of Mechanical Engineering, Brno University of Technology, Brno, Czech Republic

    Petr Vasik

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Hrdina, J., Vašík, P., Procházka, J., Kutěj, L., Ščurek, R. (2020). The Weighted Core of Games Based on Tactical Decisions. In: Mazal, J., Fagiolini, A., Vasik, P. (eds) Modelling and Simulation for Autonomous Systems. MESAS 2019. Lecture Notes in Computer Science(), vol 11995. Springer, Cham. https://doi.org/10.1007/978-3-030-43890-6_19

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  • DOI: https://doi.org/10.1007/978-3-030-43890-6_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-43889-0

  • Online ISBN: 978-3-030-43890-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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