The Resonance Phenomena in Perception Games

The mathematical formalism of interactive games, which extends one of ordinary games [1] and is based on the concept of an interactive control, was recently proposed by the author [2] to take into account the complex composition of controls of a real human person, which are often complicated couplings of his/her cognitive and known controls with the unknown subconscious behavioral reactions. This formalism is applicable also to the description of external unknown influences and, thus, is useful for problems in computer science (e.g. the semi-artificially controlled distribution of resources), mathematical economics (e.g. the financial games with unknown dynamical factors) and sociology (e.g. the collective decision making). Recently, two proper classes of the interactive games were introduced: the verbalizable interactive games [3] and the perception games [4]. The first class appeared as a result of the interactive game theoretical description of dialogues as psycholinguistic phenomena and the second one was obtained as such description of perception processes and the image understanding. Each perception game is a verbalizable interactive game. This article is devoted to a new proper subclass of interactive games, namely, to the kaleidoscope-roulettes. Kaleidoscope-roulette is defined as a perception and, hence, verbalizable interactive game, whose hidden dialogue consists of quasirandom sequences of “words”. The resonance phenomena in such games are investigated. Though kaleidoscope-roulettes are naturally associated with an entertainment their real applications may be far beyond it due to their origin.