Cooperation in Repeated Rock-Paper-Scissors Games in Uncertain Environments

Abstract

Cooperation among selfish individuals provides the fundamentals for social organization among animals and humans. Cooperation games capture this behavior at an abstract level and provide the tools for the analysis of the evolution of cooperation. Here we use the Rock-Paper-Scissors (RPS) game with positive and negative draw outcomes to study the evolution of cooperative behavior in communities of simulated selfish agents. The agents communicate to each other using a probabilistic language and the cooperation game is set in an uncertain resource generation context. The offspring of the agents may clump together or may spread out, simulating the easy and difficult identification of possible cooperation partners. The results show that more uncertainty leads to more cooperation both in positive and negative draw games. Surprisingly we found that in negative draw games the level of cooperation is statistically significantly higher, although close to, the level that would be expected from random choice of RPS decisions. We also analyzed language complexity correlates of cooperation. The agent-based simulations and the results described here are applicable to social institutions or ecological systems with more than two, non-transitively comparable, decision states that can be described abstractly as RPS games.

Composition of Games as a Model for the Evolution of Social Institutions

“…The computational simulation of such agents, their decision making and behavior, and of communities of agents in which agents interact according to their behavioral rules, serves as method for study of the evolution and emergence of cooperative behavior. The simplest two participant games are the Prisoner's Dilemma (Andras, 2016) and the Rock-Paper-Scissor (Andras, 2018), which have been implemented in a wide variety of agent-based models of cooperation evolution.…”

“…Turchin (2006) analyzed how the levels of cooperation relate to the presence of successful social institutions in competing historical societies. For the purpose of modeling the evolution of social institutions researchers have used agent-based modeling approaches and analyzed how models of evolution of cooperation can be used to capture aspects of evolution of social institutions (Powers and Lehmann, 2013;Andras, 2018).…”

“…The general simulation settings follow the settings reported in previous papers (Andras, 2016(Andras, , 2018. The agents exist in a two-dimensional world, where they move by random movements.…”