The Effects of Heterogeneous Spatial Networks in Multi-agent Parrondo's Games
- DOI
- 10.2991/ammsa-17.2017.30How to use a DOI?
- Keywords
- parrondo's paradox, parrondo's games, complex networks, heterogeneity
- Abstract
In the multi-agent Parrondo's games, if game A and game B both take certain network structures, then the heterogeneity of the network will produce impacts. By using the analytical approach based on the discrete Markov chain, we analyzed a one-dimensional case. Then, we deduced the transition probability matrix of game A under one dimensional line (homogeneous with game B) and a fully-connected network (heterogeneous with game B). Moreover, we gave the mathematical expectation of the randomized game A+B. The theoretical results showed that for the one-dimensional case the heterogeneity between game A and game B enlarges the parameter space of the strong paradox. Besides, we performed calculation simulations on two-dimensional networks. We used the following four networks for game A: a two-dimensional lattice (homogeneous with game B), random network, a scale-free network and a fully-connected network (the latter three networks are heterogeneous with game B). The simulation results showed that the gain and the strong paradox space both decrease with the increment of the degree of the heterogeneous, which shows that homogeneity between game A and game B is beneficial for two-dimensional networks.
- Copyright
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Junyong Shu AU - Keren Rui AU - Ye Ye AU - Lu Wang AU - Nenggang Xie PY - 2017/05 DA - 2017/05 TI - The Effects of Heterogeneous Spatial Networks in Multi-agent Parrondo's Games BT - Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017) PB - Atlantis Press SP - 139 EP - 147 SN - 1951-6851 UR - https://doi.org/10.2991/ammsa-17.2017.30 DO - 10.2991/ammsa-17.2017.30 ID - Shu2017/05 ER -