Syllogistic Versions of Go Games on Physarum

Abstract

We propose a new game-theoretic simulation of motions of Physarum polycephalum plasmodium. This simulation is based on the game of Go. We consider two syllogistic systems implemented as Go games: the Aris- totelian syllogistic and performative syllogistic. In the first one, the lo- cations of black and white stones are understood as locations of attrac- tants and repellents, respectively. In the second syllogistic, we consider the locations of black stones as locations of attractants occupied by plas- modia of Physarum polycephalum and the locations of white stones as locations of attractants occupied by plasmodia of Badhamia utricularis. The Aristotelian syllogistic version of Go game is a coalition game. The performative syllogistic version of Go game is an antagonistic game.