Representation of the awareness reflexive structure with regard to the conflict involving signatures

Mikhail Styugin · IOP Conference Series Materials Science and Engineering · 2015

This paper offers a method for analysis of conflict situations when utility of agents is replaced by rules of decision making. This approach simplifies review of a conflict situation, though it imposes significant restrictions to conflict conditions. A conflict shall be presented as separate transitions and Boolean readiness of agents to perform those transitions. These restrictions can be seen when a model is formulated. This approach appeared in modeling of conflict situations in security systems and it corresponds to analysis of intruder-defender systems the most. Models provided in the present paper enable to calculate an object's readiness to take active actions depending on the condition of its awareness structure. Awareness structure includes the view on indicators of readiness to take active actions by other participants of a conflict and their view on the indicators of the others. A notion of a system researcher is introduced based on the model. The system researcher creates its own awareness structure upon researching structures of the other participants. Conditions for a researching task for two awareness structure researchers which analyze structures of each other are provided herein and it is ascertained which of the participants and in which case is able to solve the task. The paper provides examples of applying mathematical models in real life situations.

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