The rock–paper–scissors game

@article{Zhou2016TheRG,
  title={The rock–paper–scissors game},
  author={Haijun Zhou},
  journal={Contemporary Physics},
  year={2016},
  volume={57},
  pages={151 - 163}
}
  • Haijun Zhou
  • Published 2 April 2016
  • Economics
  • Contemporary Physics
Rock–Paper–Scissors (RPS), a game of cyclic dominance, is not merely a popular children’s game but also a basic model system for studying decision-making in non-cooperative strategic interactions. Aimed at students of physics with no background in game theory, this paper introduces the concepts of Nash equilibrium and evolutionarily stable strategy, and reviews some recent theoretical and empirical efforts on the non-equilibrium properties of the iterated RPS, including collective cycling… 
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16 Citations
Background Citations
7
Methods Citations
1

16 Citations

Analysis and Simulations of the Rock-Paper-Scissors Game with Environmental Feedback

Through analysis and numerical simulations, it is proved the new RPS game has an ESS when the initial environment is not depleted and three evolutionary internals including Evolutionary Equilibrium (EE) and periodic solutions are found.

Evolutionary dynamics in the rock-paper-scissors system by changing community paradigm with population flow

Testability of evolutionary game dynamics based on experimental economics data

Behavioural Isomorphism, Cognitive Economy and Recursive Thought in Non-Transitive Game Strategy

This review identifies similarities across economics, neuroscience, nonlinear dynamics, human, and animal cognition literatures, and provides a taxonomy of RPS strategy, finding that despite the differences in cognitive economy and recursive thought, many of the identified strategies are behaviorally isomorphic, which makes it difficult to infer strategy from behavior.

Formalizing Opponent Modeling with the Rock, Paper, Scissors Game

A novel framework for formally describing and quantifying human adversarial reasoning in the rock, paper, scissors game is offered and it is shown that this framework enables a precise characterization of the complexity of patterned behaviors that people exhibit themselves, and appear to exploit in others.

Nonlinear dynamics with Hopf bifurcations by targeted mutation in the system of rock-paper-scissors metaphor.

Nonlinear dynamics with targeted mutation in cyclically competing species is investigated to provide more global perspectives on understanding underlying mechanisms to control biodiversity in ecological/biological sciences, and evidences with mathematical foundations to resolve social dilemmas such as a turnover of group members by resigning with intragroup conflicts in social sciences.

A symbiosis between cellular automata and genetic algorithms

Effect of migration and environmental heterogeneity on the maintenance of quantitative genetic variation: a simulation study

The results show that some combinations of spatial heterogeneity and migration can maintain considerably more variation than mutation–selection balance, potentially reconciling the discrepancy between theoretical predictions and empirical observations and suggest that habitat fragmentation may affect the maintenance of VA and thereby reduce the adaptive capacity of populations.

Deliberation gated by opportunity cost adapts to context with urgency

This work defines a non-stationary opportunity cost of deliberation arising from performance variation on multiple timescales and proposes that deliberation cost is implemented directly as urgency, a previously characterized neural signal effectively controlling the speed of the decision-making process.

What Drives Diversity in Social Recognition Mechanisms?

Recognition allows animals to categorize social partners and differentiate among them in adaptive ways. Recognition systems are a fundamental component of social interactions, and a major goal for…

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