Kleshnina Maria, Filar Jerzy A, Ejov Vladimir, McKerral Jody C
School of Mathematics and Physics, Centre for Applications in Natural Resource Mathematics (CARM), University of Queensland, St Lucia, QLD, 4072, Australia.
School of Computer Science, Engineering and Mathematics, Flinders University, Adelaide, SA, 5001, Australia.
J Math Biol. 2018 Sep;77(3):627-646. doi: 10.1007/s00285-018-1221-2. Epub 2018 Feb 26.
The adaptation process of a species to a new environment is a significant area of study in biology. As part of natural selection, adaptation is a mutation process which improves survival skills and reproductive functions of species. Here, we investigate this process by combining the idea of incompetence with evolutionary game theory. In the sense of evolution, incompetence and training can be interpreted as a special learning process. With focus on the social side of the problem, we analyze the influence of incompetence on behavior of species. We introduce an incompetence parameter into a learning function in a single-population game and analyze its effect on the outcome of the replicator dynamics. Incompetence can change the outcome of the game and its dynamics, indicating its significance within what are inherently imperfect natural systems.
物种对新环境的适应过程是生物学中一个重要的研究领域。作为自然选择的一部分，适应是一个突变过程，它提高了物种的生存技能和繁殖功能。在这里，我们通过将无能的概念与进化博弈论相结合来研究这个过程。从进化的角度来看，无能和训练可以被解释为一种特殊的学习过程。着眼于问题的社会层面，我们分析了无能对物种行为的影响。我们在单种群博弈的学习函数中引入一个无能参数，并分析其对复制者动态结果的影响。无能可以改变博弈的结果及其动态，表明它在本质上不完美的自然系统中的重要性。
