Parrondo Paradox in Scale Free Networks

TL;DR

This paper investigates the occurrence of Parrondo's paradox in scale-free networks, demonstrating through analysis and simulations that the paradox appears only in a specific model.

Contribution

It provides the first analysis of Parrondo's paradox in scale-free networks and identifies conditions under which the paradox occurs.

Findings

Parrondo's paradox occurs only in the second model analyzed.

Theoretical analysis supports simulation results.

The paradox does not appear in the first model.

Abstract

Parrondo's paradox occurs in sequences of games in which a winning expectation may be obtained by playing the games in a random order, even though each game in the sequence may be lost when played individually. Several variations of Parrondo's games with paradoxical property have been introduced. In this paper, I examine whether Parrondo's paradox occurs or not in scale free networks. Two models are discussed by some theoretical analyses and computer simulations. As a result, I prove that Parrondo's paradox occurs only in the second model.