Learning Dynamics and the Co-Evolution of Competing Sexual Species

by   Georgios Piliouras, et al.

We analyze a stylized model of co-evolution between any two purely competing species (e.g., host and parasite), both sexually reproducing. Similarly to a recent model of Livnat evolfocs14 the fitness of an individual depends on whether the truth assignments on n variables that reproduce through recombination satisfy a particular Boolean function. Whereas in the original model a satisfying assignment always confers a small evolutionary advantage, in our model the two species are in an evolutionary race with the parasite enjoying the advantage if the value of its Boolean function matches its host, and the host wishing to mismatch its parasite. Surprisingly, this model makes a simple and robust behavioral prediction. The typical system behavior is periodic. These cycles stay bounded away from the boundary and thus, learning-dynamics competition between sexual species can provide an explanation for genetic diversity. This explanation is due solely to the natural selection process. No mutations, environmental changes, etc., need be invoked. The game played at the gene level may have many Nash equilibria with widely diverse fitness levels. Nevertheless, sexual evolution leads to gene coordination that implements an optimal strategy, i.e., an optimal population mixture, at the species level. Namely, the play of the many "selfish genes" implements a time-averaged correlated equilibrium where the average fitness of each species is exactly equal to its value in the two species zero-sum competition. Our analysis combines tools from game theory, dynamical systems and Boolean functions to establish a novel class of conservative dynamical systems.


page 1

page 2

page 3

page 4


Evolutionary games under incompetence

The adaptation process of a species to a new environment is a significan...

Evolving the Behavior of Machines: From Micro to Macroevolution

Evolution gave rise to creatures that are arguably more sophisticated th...

A multiset model of multi-species evolution to solve big deceptive problems

This chapter presents SMuGA, an integration of symbiogenesis with the Mu...

Rock-Paper-Scissors, Differential Games and Biological Diversity

We model a situation in which a collection of species derive their fitne...

Transfer Dynamics in Emergent Evolutionary Curricula

PINSKY is a system for open-ended learning through neuroevolution in gam...

Evidence of coevolution in multi-objective evolutionary algorithms

This paper demonstrates that simple yet important characteristics of coe...

A kinetic description of the body size distributions of species

In this paper, by resorting to classical methods of statistical mechanic...

Please sign up or login with your details

Forgot password? Click here to reset