Rumors? spread: A game theoretical approach with the replicator dynamics

ELVIO ACCINELLI GAMBA; QUINTAS, LUIS GUILLERMO; MUÑIZ HUMBERTO

Journal of Dynamics and Games

American Institute of Mathematical Sciences

Lugar: Springfield, MO, USA; Año: 2023 vol. 10 p. 11 - 23

2164-6066

In this paper we study a repeated game and the replicator dynamics to analyze the spread of a rumor in a society formed by two populations. One population is informed about a rumor and communicates the rumor to the other population. According to the preferences of each individual, this rumor is communicated in its original or in a modified form. We analyze the stability of dynamic equilibria. We conclude that there are three possibilities for the spread of a rumor. The rumor may end up being disseminated in its original version or being distorted by the diffusers throughout the society, or a part of the population remains in the long term spreading the rumor in its original form and another in a distorted way.