论文信息 - The Weighted Core of Games Based on Tactical Decisions

The Weighted Core of Games Based on Tactical Decisions

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.

Jaroslav Hrdina | Petr Vasík | Josef Procházka | Libor Kutej | Radomír Scurek

[1] Eric Fleury,et al. Tracking Clinical Staff Behaviors in an Operating Room , 2019, Sensors.

[2] James Webb. Game Theory: Decisions, Interaction and Evolution , 2006 .

[3] Hans Peters,et al. Game Theory: A Multi-Leveled Approach , 2008 .

[4] Petr Stodola,et al. Cooperative Unmanned Aerial System Reconnaissance in a Complex Urban Environment and Uneven Terrain , 2019, Sensors.

[5] B. Peleg,et al. Introduction to the Theory of Cooperative Games , 1983 .

[6] Francesco Giannino,et al. Giving life to the map can save more lives. Wildfire scenario with interoperable simulations , 2019 .

[7] Petr Stodola,et al. Modelling of the UAV Safety Manoeuvre for the Air Insertion Operations , 2016, MESAS.

[8] Petr Stodola,et al. Architecture of the Advanced Command and Control System , 2017, 2017 International Conference on Military Technologies (ICMT).

[9] Petr Stodola,et al. Model of Optimal Cooperative Reconnaissance and its Solution using Metaheuristic Methods , 2017 .

[10] Robert P. Gilles. The Cooperative Game Theory of Networks and Hierarchies , 2010 .

[11] Petr Stodola,et al. Optimal manoeuvre for two cooperative military elements under uncertain enemy threat , 2019, International Journal of Operational Research.