摘要We propose a memory-based naming game (MBNG) model with two-state variables in full-connected networks, which is like some previous opinion propagation models. It is found that this model is deeply affected by the memory decision parameter, and then its dynamical behaviour can be partly analysed by using numerical simulation and analytical argument. We also report a modified MBNG model with the forgetting curve of Ebbinghaus in the memory. With deletion of one parameter in the MBNG model, it can converge to success rate S(t)=1 and the average sum E(t) is decided by the size of network N.
Abstract：We propose a memory-based naming game (MBNG) model with two-state variables in full-connected networks, which is like some previous opinion propagation models. It is found that this model is deeply affected by the memory decision parameter, and then its dynamical behaviour can be partly analysed by using numerical simulation and analytical argument. We also report a modified MBNG model with the forgetting curve of Ebbinghaus in the memory. With deletion of one parameter in the MBNG model, it can converge to success rate S(t)=1 and the average sum E(t) is decided by the size of network N.
SHI Xiao-Ming;ZHANG Jie-Fang. Agreement Dynamics of Memory-Based Naming Game with Forgetting Curve of Ebbinghaus[J]. 中国物理快报, 2009, 26(4): 48901-048901.
SHI Xiao-Ming, ZHANG Jie-Fang. Agreement Dynamics of Memory-Based Naming Game with Forgetting Curve of Ebbinghaus. Chin. Phys. Lett., 2009, 26(4): 48901-048901.
[1] Axelrod R 1997 J. Conflict Resolut. 41 203 [2] Sznajd-Weron K and Sznajd J 2000 Int. J. Mod. Phys.C 11 1157 [3] Liggett T M 1999 Stochastic Interacting Systems:Contact, Voter, and Exclusion Processes (New York: Springer) [4] Krapivsky P L 1992 Phys. Rev. A 45 1067 [5] Krapivsky P L and Render S 2003 Phys. Rev. Lett. 90 238701 [6] Deffuant G, Neau D, Amblard F and Weisbuch G 2000 Adv. Complex Syst. 3 87 [7] Nowak M A and Krakauer D C 1999 Proc. Natl. Acad.Sci. 96 8028 [8] Nowak M A, Plotkin J B and Jansen V A 2000 Nature 404 495 [9] Steels L 1999 Auton. Agents Multi-Agent Syst. 1 301 [10] Sznajd-Weron K and Sznajd J 2003 Physica A 324 437 [11] Sood V and Redner S 2005 Phys. Rev. Lett. 94178701 [12] Steels L 1995 Artif. Life 2 319 [13] Baronchelli A, Felici M, Caglioti E, Loreto V and SteelsL 2006 J. Stat. Mech: Theory Expt. P06014 [14] Baronchelli A, Loreto V and Steels L arxiv: 0803.0398v [15] Steels L 1998 Auton. Agents Multi-Agent Syst. 1 169 [16] Baronchelli A, Dall' Asta A, Barrat A and Loreto V 2006 in Artificial Life X: Proceedings of the Tenth InternationalConference on the Simulation and Synthesis of Living Systems(Bloomington, USA 3--7 June 2006) ed Rocha L M, Yaeger L S, Bedau MA, Floreano D, Goldstone R L and Vespignani A (Cambridge, MA: MIT) p480 arXiv:physics/0511201 [17] Baronchelli A, Dall' Asta L, Barrat A and Loreto V 2006 Phys. Rev. E 73 015102(R) [18] Dall' Asta L, Baronchelli A, Barrat A and Loreto V 2006 Europhys. Lett. 73 969 [19] Dall' Asta L, Baronchelli A, Barrat A and Loreto V 2006 Phys. Rev. E 74 036105 [20] Lu Q, korniss G and Szymanski B K 2008 Phys. Rev.E 77 016111 [21] Tang C L, Lin B Y, Wang W X, Hu M B and Wang B H 2007 Phys. Rev. E 75 027101 [22] Lin B Y, Ren J, Yang H J and Wang B Harxiv:physics/0607001 [23] Wang W X, Lin B Y, Tang C L and Chen G R 2007 Eur.Phys. J. B 60 529 [24] Ebbinghaus H 1885 Memory: A Contribution toExperimental Psychology (New York: Columbia University Press)
2009, Vol. 26 
