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Probability distribution of the number of deceits in collective robotics

Part of: Artificial intelligence (68Txx) Special processes

Published online by Cambridge University Press:  14 July 2016

Antonio Murciano ,
Javier Zamora ,
Jesus Lopez-Sanchez  and
Emilia Rodriguez-Santamaria
Antonio Murciano*
Affiliation:
Universidad Complutense de Madrid
Javier Zamora*
Affiliation:
Universidad Complutense de Madrid
Jesus Lopez-Sanchez*
Affiliation:
Universidad Complutense de Madrid
Emilia Rodriguez-Santamaria*
Affiliation:
Universidad Complutense de Madrid
*
∗ Postal address: Departamento de Matemática Aplicada (Biomatemática), Facultad de Biología, Universidad Complutense de Madrid, Avenida Complutense s/n, Madrid 28040, Spain.
∗ Postal address: Departamento de Matemática Aplicada (Biomatemática), Facultad de Biología, Universidad Complutense de Madrid, Avenida Complutense s/n, Madrid 28040, Spain.
∗ Postal address: Departamento de Matemática Aplicada (Biomatemática), Facultad de Biología, Universidad Complutense de Madrid, Avenida Complutense s/n, Madrid 28040, Spain.
∗ Postal address: Departamento de Matemática Aplicada (Biomatemática), Facultad de Biología, Universidad Complutense de Madrid, Avenida Complutense s/n, Madrid 28040, Spain.
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Abstract

The benefit obtained by a selfish robot by cheating in a real multirobotic system can be represented by the random variable Xn,q: the number of cheating interactions needed before all the members in a cooperative team of robots, playing a TIT FOR TAT strategy, recognize the selfish robot. Stability of cooperation depends on the ratio between the benefit obtained by selfish and cooperative robots. In this paper, we establish the probability model for Xn,q. If the values of the parameters n and q are known, then this model allows us to make predictions about the stability of cooperation. Moreover, if these parameters are modifiable, it is possible to tune them to guarantee the viability of cooperation.

Keywords

Collective roboticscooperationreciprocal altruismprobability model

MSC classification

Primary: 60K30: Applications (congestion, allocation, storage, traffic, etc.)
Secondary: 68T40: Robotics
Type
Short Communications
Information
Journal of Applied Probability , Volume 39 , Issue 3 , September 2002 , pp. 657 - 663
Copyright
Copyright © Applied Probability Trust 2002 

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