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56 papers
Evolutionary potential games on lattices
Gyorgy Szabo, Istvan Borsos
Game theory provides a general mathematical background to study the effect of pair interactions and evolutionary rules on the macroscopic behavior of multi-player games where playe…
Congestion phenomena caused by matching pennies in evolutionary games
György Szabó, Attila Szolnoki
Evolutionary social dilemma games are extended by an additional matching-pennies game that modifies the collected payoffs. In a spatial version players are distributed on a square…
Diverging fluctuations in a spatial five-species cyclic dominance game
Jeromos Vukov, Attila Szolnoki, György Szabó
A five-species predator-prey model is studied on a square lattice where each species has two prey and two predators on the analogy to the Rock-Paper-Scissors-Lizard-Spock game. The…
Coexistence of fraternity and egoism for spatial social dilemmas
Gyorgy Szabo, Attila Szolnoki, Lilla Czako
We have studied an evolutionary game with spatially arranged players who can choose one of the two strategies (named cooperation and defection for social dilemmas) when playing wit…
Accuracy in strategy imitations promotes the evolution of fairness in the spatial ultimatum game
Attila Szolnoki, Matjaz Perc, Gyorgy Szabo
Spatial structure has a profound effect on the outcome of evolutionary games. In the ultimatum game, it leads to the dominance of much fairer players than those predicted to evolve…
Defense mechanisms of empathetic players in the spatial ultimatum game
Attila Szolnoki, Matjaz Perc, Gyorgy Szabo
Experiments on the ultimatum game have revealed that humans are remarkably fond of fair play. When asked to share an amount of money, unfair offers are rare and their acceptance ra…