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Andrew Schumann worked at the Belarusian State University, Minsk, Belarus. His research focuses on logic and philosophy of science with an emphasis on non-well-founded phenomena: self-references and circularity. He contributed mainly to research areas such as reasoning under uncertainty, probability reasoning, non-Archimedean mathematics, as well as their applications to cognitive science. He is engaged also in unconventional computing, decision theory, logical modelling of economics.
Email: andrew.schumann@gmail.com
In this paper reflexive games are defined as a way to act beyond equilibria to
control our opponents by our hiding motives. The task of a reflexive game is to
have the opponent’s actions become transparent for us, while our actions remain
obscure for the competitor. In case a reflexive game is carried out between agents
belonging to the same organisation (corporation, company, institute), success in a
reflexive game can be reached by a purposeful modification of some components
of a controlled system. Such a modification for the guaranteed victory in a
reflexive game is called reflexive management. This kind of management uses
reflexive games to control a knowledge structure of agents in a way their actions
unconsciously satisfy the centre’s goals.