Evolutionary games under incompetence.

Maria Kleshnina, Jerzy A Filar, Vladimir Ejov, Jody C McKerral
Author Information
  1. Maria Kleshnina: School of Mathematics and Physics, Centre for Applications in Natural Resource Mathematics (CARM), University of Queensland, St Lucia, QLD, 4072, Australia. m.kleshnina@uq.edu.au.
  2. Jerzy A Filar: School of Mathematics and Physics, Centre for Applications in Natural Resource Mathematics (CARM), University of Queensland, St Lucia, QLD, 4072, Australia.
  3. Vladimir Ejov: School of Computer Science, Engineering and Mathematics, Flinders University, Adelaide, SA, 5001, Australia.
  4. Jody C McKerral: School of Computer Science, Engineering and Mathematics, Flinders University, Adelaide, SA, 5001, Australia.

Abstract

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.

Keywords

References

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Grants

  1. DP160101236/Australian Research Council

MeSH Term

Adaptation, Biological
Animals
Behavior, Animal
Biological Evolution
Environment
Game Theory
Mathematical Concepts
Models, Genetic
Mutation
Population Dynamics
Selection, Genetic
Stochastic Processes

Word Cloud

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