TY - JOUR
T1 - A stochastic Pairwise Fermi rule modified by utilizing the average in payoff differences of neighbors leads to increased network reciprocity in spatial prisoner's dilemma games
AU - Nagashima, Keisuke
AU - Tanimoto, Jun
N1 - Funding Information:
This study was partially supported by Grant-in-Aid for Scientific Research from JSPS, Japan, KAKENHI (Grant no. 18K18924) and Kakihara Foundation awarded to Professor Tanimoto. We would like to express our gratitude to them.
PY - 2019/11/15
Y1 - 2019/11/15
N2 - In a 2 × 2 prisoner's dilemma (PD) game, network reciprocity is one of the mechanisms for increasing social viscosity, which leads to a cooperative equilibrium. The Pairwise Fermi (PW-Fermi) rule has been accepted as an updating protocol, as its stochasticity is similar to the real-world human decision-making process. In this paper, we elucidated a modification to the PW-Fermi rule by utilizing the averaged payoff difference instead of the simple payoff difference between a focal agent and their neighbors. This led to a significantly enhanced level of network reciprocity. The mechanism of this enhancement is clarified by discussing the concepts of the enduring period (END) and the expanding period (EXP).
AB - In a 2 × 2 prisoner's dilemma (PD) game, network reciprocity is one of the mechanisms for increasing social viscosity, which leads to a cooperative equilibrium. The Pairwise Fermi (PW-Fermi) rule has been accepted as an updating protocol, as its stochasticity is similar to the real-world human decision-making process. In this paper, we elucidated a modification to the PW-Fermi rule by utilizing the averaged payoff difference instead of the simple payoff difference between a focal agent and their neighbors. This led to a significantly enhanced level of network reciprocity. The mechanism of this enhancement is clarified by discussing the concepts of the enduring period (END) and the expanding period (EXP).
UR - http://www.scopus.com/inward/record.url?scp=85067581395&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85067581395&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2019.05.034
DO - 10.1016/j.amc.2019.05.034
M3 - Article
AN - SCOPUS:85067581395
VL - 361
SP - 661
EP - 669
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
SN - 0096-3003
ER -