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2015 | OriginalPaper | Chapter

4. Evolution of Communication

Author : Jun Tanimoto

Published in: Fundamentals of Evolutionary Game Theory and its Applications

Publisher: Springer Japan

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Abstract

In this chapter, we discuss several interesting applications of evolutionary game theory. The chapter first takes up one possible scenario for why and how animal communication evolves. A series of numerical experiments based on an evolutionary game elucidates that one of the key points is time flexibility in the evolutionary trail. A social dilemma situation in a static environment only requires time-constant -reciprocity that can be emulated by Prisoner’s Dilemma (PD) games, which does not give rise to any communication at all. On the other hand, a dynamic environment needs -reciprocity to solve a social dilemma. This compels communication to emerge among agents so that they can obtain a high payoff, leading to Fair Pareto optimum. This kind of constructivist approach suggests that a PD game seems less appropriate as an argument for the inception of communication, but Leader or Hero might be better.

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Footnotes
1
The Information Entropy H act|sense [bit] of action outputting x k under information inputting y i can be defined as;
$$ {H}_{act\Big| sense}=-{\displaystyle \sum_{j\kern0.5em =\kern0.5em 1}{\displaystyle \sum_{k\kern0.5em =\kern0.5em 1}p\left({x}_k,{y}_j\right)\cdot { \log}_2p\left({x}_k\Big|{y}_j\right)}}, $$
where p(x k , y j ) is the compounded probability of x k and y i , and \( p\left({x}_k\Big|{y}_j\right) \) is the conditional probability of x k under y i . The Information Rate I sense [bit] is defined as the difference between information entropy without any information input H act [bit] and H act|sense ,
$$ {I}_{sense}={H}_{act}-{H}_{act\Big| sense}. $$
 
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Metadata
Title
Evolution of Communication
Author
Jun Tanimoto
Copyright Year
2015
Publisher
Springer Japan
DOI
https://doi.org/10.1007/978-4-431-54962-8_4