Apex predator and the cyclic competition in a rock-paper-scissors game of three species
نویسندگان
چکیده
منابع مشابه
The Multi-modal Rock-Paper-Scissors Game
The multi-modal rock-paper-scissors game is an interactive computer game where the opponent of the human player is a virtual agent appearing on the computer screen. The game is similar to the game between humans, the communication takes place by the tools of image and sound processing.
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We investigate the impact of cyclic competition on pattern formation in the rock-paper-scissors game. By separately considering random and prepared initial conditions, we observe a critical influence of the competition rate p on the stability of spiral waves and on the emergence of biodiversity. In particular, while increasing values of p promote biodiversity, they may act detrimentally on spat...
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The rock-paper-scissors game is a paradigmatic model for biodiversity, with applications ranging from microbial populations to human societies. Research has shown, however, that mobility jeopardizes biodiversity by promoting the formation of spiral waves, especially if there is no conservation law in place for the total number of competing players. First, we show that even if such a conservatio...
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The emergence of complex spatial patterns in agent-based models is closely connected with the symmetries and relationships present between individual microscopic constituents. Games such as Rock-Paper-Scissors (RPS) have a closed cycle relationship amongst players which extends the symmetry. RPS and related games can be played by agents arranged on a spatial grid and have been shown to generate...
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We analyze the replicator-mutator equations for the rock-paper-scissors game. Various graph-theoretic patterns of mutation are considered, ranging from a single unidirectional mutation pathway between two of the species, to global bidirectional mutation among all the species. Our main result is that the coexistence state, in which all three species exist in equilibrium, can be destabilized by a...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2017
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.95.062411