TY - JOUR
T1 - An improved lotka–volterra model using quantum game theory
AU - Huang, Dingxuan
AU - Delang, Claudio O.
AU - Wu, Yongjiao
AU - Li, Shuliang
N1 - Funding: This work was supported by Projects of the National Natural Science Foundation of China (Grant No. 41761112 and 71662008); and the Key Research Institute of Philosophies and Social Sciences in Guangxi Universities (Grant No. 19ZD003) and Humanities and social sciences research project of Chongqing Municipal Commission of Education (Grant No. 21SKGH176).
Publisher Copyright:
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2021/9/9
Y1 - 2021/9/9
N2 - Human decision-making does not conform to the independent decision-making hypothesis from classical decision-making theory. Thus, we introduce quantum decision-making theory into the Lotka–Volterra model (L–V model), to investigate player population dynamics while incorporating the initial strategy, game payoffs and interactive strategies in an open social system. Simulation results show that: (1) initial strategy, entanglement intensity of strategy interaction, and payoffs impact population dynamics; (2) In cooperative coexistence, game players mutually exceed the initial environmental capacity in an open system, but not in competitive coexistence; (3) In competitive coexistence, an initial strategy containing an entanglement intensity of strategies plays a vital role in game outcomes. Furthermore, our proposed model more realistically delineates the characteristics of population dynamics in competitive or cooperative coexistence scenarios.
AB - Human decision-making does not conform to the independent decision-making hypothesis from classical decision-making theory. Thus, we introduce quantum decision-making theory into the Lotka–Volterra model (L–V model), to investigate player population dynamics while incorporating the initial strategy, game payoffs and interactive strategies in an open social system. Simulation results show that: (1) initial strategy, entanglement intensity of strategy interaction, and payoffs impact population dynamics; (2) In cooperative coexistence, game players mutually exceed the initial environmental capacity in an open system, but not in competitive coexistence; (3) In competitive coexistence, an initial strategy containing an entanglement intensity of strategies plays a vital role in game outcomes. Furthermore, our proposed model more realistically delineates the characteristics of population dynamics in competitive or cooperative coexistence scenarios.
KW - Competitive coexistence
KW - Cooperative coexistence
KW - Lotka–Volterra model
KW - Quantum game
KW - Strategy interaction
UR - http://www.scopus.com/inward/record.url?scp=85115028848&partnerID=8YFLogxK
UR - https://www.mdpi.com/2227-7390/10/10/1660
U2 - 10.3390/math9182217
DO - 10.3390/math9182217
M3 - Journal article
AN - SCOPUS:85115028848
SN - 2227-7390
VL - 9
JO - Mathematics
JF - Mathematics
IS - 18
M1 - 2217
ER -