Fahimur Rahman Shuvo Md, Kabir K M Ariful
Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka 1000, Bangladesh.
R Soc Open Sci. 2024 Oct 23;11(10):240717. doi: 10.1098/rsos.240717. eCollection 2024 Oct.
This study incorporates environmental feedback into the optional prisoner's dilemma and rock-paper-scissors games to examine the mutual influence of eco-evolutionary outcomes and strategy dynamics. A novel game-theoretic model is developed that integrates the optional prisoner's dilemma and rock-paper-scissors games by incorporating an environmental state variable. By adjusting feedback parameters, chaos, oscillations and coexistence are observed that surpass the usual outcomes of social dilemmas when the environment transitions between depleted and replenished states. Defection is no longer advantageous in evolution; cooperation, abstention and cyclic dominance arise. The observed transitions align with natural economics, ecology and sociology phenomena. The inclusion of abstention options and environmental feedback has a significant impact on collective outcomes when compared with conventional games. This has important implications for studying adaptation and decision-making in situations with ecological constraints.
本研究将环境反馈纳入可选囚徒困境和石头剪刀布游戏中，以考察生态进化结果与策略动态之间的相互影响。通过纳入一个环境状态变量，开发了一种新颖的博弈论模型，该模型整合了可选囚徒困境和石头剪刀布游戏。通过调整反馈参数，当环境在枯竭状态和恢复状态之间转变时，可以观察到混沌、振荡和共存现象，这些现象超越了社会困境的常见结果。在进化过程中，背叛不再具有优势；合作、弃权和循环主导地位出现了。观察到的转变与自然经济学、生态学和社会学现象相符。与传统游戏相比，纳入弃权选项和环境反馈对集体结果有显著影响。这对于研究在生态约束情况下的适应和决策具有重要意义。
