  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.
