[1] Smith J.M., Evolution and the Theory of Games (Cambridge University Press, 1982).
[2] Nowak M.A., Science 314, 1560 2006.
[3] Yamauchi A., Tanimoto J. and Hagishima A., BioSystems 103, 85–92 2011.
[4] Shigaki K., Tanimoto J., Wang Z., Kokubo S., Hagishima A. and Ikegaya N., Phys. Rev. E 86, 031141 2012.
[5] Szab´o G. and T¨oke, C., Phys. Rev. E 58, 69–73, 1998.
[6] Zimmermann M.G., Eguiluz V.M. and San Miguel M., Phys. Rev. E 69, 065102R, 2004.
[7] Tanimoto J., Physica A 388, 953-960, 2009.
[8] Güth W. and Tietze R.; Ultimatum Bargaining behavior, a survey and comparison of experimental result, c11, 417449, 1990.
[9] Page K.M., Nowak M.A. and Sigmund K., Proc R Soc Lond B, 267:2177, 2000.
[10] Nowak M.A., Page K.M. and Sigmund K., Science, 289:1773, 2000.
[11] Roth A., Prasnikar V., Okuno-Fujiwara M. and Zamir S., Am Econ Rev, 81:1068, 1991.
[12] Roth A., Bargaining experiments in handbook of experimental economics. Princeton University Press; 1995.
[13] Kishimoto N., Kokubo S. and Tanimoto J., Chaos Solit. Fractals 56, 83-90, 2013
[14] Kokubo S., Wang Z. and Tanimoto J., Appl. Math. Comput. 259, 552-568, 2015
[15] Güth W. and Tietze R., J Econ Psychol, 11:417, 1990.
[16] Thaler R.H., J Econ Perspect, 2:195, 1988.
[17] Fehr E. and Schmidt K., Q J Econ, 114:817, 1999.
[18] Sigmund K. and Nowak M.A., Sci. Am., 286:82, 2002.
[19] Li X. and Cao L., Phys. Rev. E, 80:066101, 2009.
[20] Iranzo J., Floı ´ a L.M., Moreno Y. and Sánchez A., PLoS ONE, 7:e43781, 2012.
[21] Schuessler R., J Conflict Resolut, 33:728, 1989.
[22] Page K.M. and Nowak M.A., Bull Math Biol, 64:1101, 2002.
[23] Sánchez A. and Cuesta J.A., J. Theor. Biol., 235:133, 2005.
[24] Duan W.-Q. and Stanley H.E., Phys. Rev. E, 81:026104, 2010.
[25] Da Silva R. and Kellerman G.A., Braz J. Phys., 37:1206, 2007.
[26] Da Silva R., Kellerman G.A. and Lamb L.C., J. Theor. Biol., 258:208, 2009.
[27] Killingback T. and Studer E., Proc. R. Soc. London B, 268:1797, 2001.
[28] Iranzo J., Román J. and Sánchez A., J. Theor. Biol., 278:1, 2011.
104
[29] Sinatra R., Iranzo J., Gómez-Gardeñes J., Florı´a L.M., Latora V. and Moreno Y., J. Stat. Mech., 9:P09012, 2009.
[30] Szolnoki A., Perc M. and Szabó G., EPL, 100:28005, 2012.
[31] Lieberman E., Hauert C. and Nowak M.A., Nature, 433:312, 2005.
[32] Deng L.-L., Tang W.-S. and Zhang J.-X., Chin. Phys. Lett., 28:080204, 2011.
[33] Deng L.-L., Tang W.-S. and Zhang J.-X., Physica A, 390:4227, 2011.
[34] Gao J., Li Z., Wu T. and Wang L. L., EPL 93:48002, 2011.
[35] de Jong S., Uyttendaele S. and Tuyls K., J Artif. Intell. Res., 33:551, 2008.
[36] Szabo G. and Fath G., Phys. Rep. 446: 97–216, 2007.
[37] Perc M. and Szolnoki A., BioSystems 99: 209–125, 2010.
[38] Tanimoto J., Sociobiology 58: 1–11, 2011.
[39] Kim B.J., Trusina A., Holme P., Minnhagen P., Chung J.S., et al., Phys Rev E 66: 021907, 2002.
[40] Vainstein M.H. and Arenzon J.J., Phys. Rev. E 64: 051905, 2001.
[41] Wang Z., Wang Z., Zhu X. and Arenzon J.J., Phys. Rev. E 85: 011149, 2012.
[42] Traulsen A., Pacheco J.M. and Nowak M.A., J. Theor. Biol. 246: 522–529, 2007.
[43] Roca C.P., Cuesta J.A. and Sa´nchez A., Europhys. Lett. 87: 48005, 2009.
[44] Helbing D., Szolnoki A., Perc M. and Szabo´ G., PLoS Comput. Biol. 6: e1000758, 2010.
[45] Santos F.C., Pacheco J.M. and Lenaerts T., PLoS Comput. Biol. 2: e140, 2006.
[46] Xia C.Y., Wang J., Wang L., Sun S.W. and Wang J.S., Chaos Solt. Fractals 45: 1239–1245, 2012.
[47] Poncela J., Gomez-Gardenes J., Traulsen A. and Pacheco J.M., New J. Phys. 11: 083031, 2009.
[48] Helbing D., Szolnoki A., Perc M. and Szabo´ G., New J. Phys. 12: 083005, 2010.
[49] Pierre B. and Marco T., Phys. Rev. E 86: 066107, 2012.
[50] Tang C.B., Xiang L., Lang C. and Zhang J.Y., J. Theor. Biol. 306: 1–6, 2012.
[51] Zhang H.F., Yang H.X., Du W.B., Wang B.H. and Cao X.B., Physica A 389: 1099–1104, 2010.
[52] Hauert C. and Doebeli M., Nature 428: 643–646, 2004.
[53] Tanimoto J. and Sagara H., BioSystems 90: 105–114, 2007.
[54] Tanimoto J. and Sagara H., BioSystems 90: 728–737, 2007.
[55] Szolnoki A., Xie N.G., Wang C. and Perc M., Europhys. Lett. 96: 38002, 2011.
[56] Xia C.Y., Ma Z., Wang Y., Wang J. and Chen Z.Q., Phys. Scripta 84: 025802, 2011.
[57] Zhong W., Kokubo S. and Tanimoto J., BioSystems 107, 88
[58] Tarnita C.E., Antal T. and Nowak M.A., J. Theor. Biol. 261, 50, 2009.
105
[59] Chen C., Fu F., and Wang L., Phys. Rev. E 78, 051120, 2008.
[60] Santos F.C., Pinherio F.L., Lemaerts T. and Pacheco J.M., J. Theor. Biol. 299, 88, 2012.
[61] Moyano L.G. and S´anchez A., J. Theor. Biol. 259, 84 , 2009.
[62] Roca C.P., Cuesta J.A., and S´anchez A., Phys. Rev. E 80, 046106 , 2009.
[63] Grilo C. and Correia L., J. Theor. Biol. 269, 109 , 2012.
[64] Antonioni A. and Tomassini M., Advs. Complex Syst. 15, 1250046 , 2012.
[65] Zimmermann M.G., Eguíluz V.M. and Miguel M.S., Phys. Rev. E, 69:065102, 2004 .
[66] Santos F.C. , Pacheco J.M. and Lenaerts T., PLoS Comput Biol, 2:e140, 2006.
[67] Poncela J. , Gómez-Gardeñes J. , Floría L.M. , Moreno Y. , Sánchez A. . Europhys. Lett., 88:380 03, 2009.
[68] Lee S., Holme P., Wu Z.X., Phys. Rev. Lett., 106:028702, 2011.
[69] Pacheco J.M., Traulsen A., Ohtsuki H. and Nowak M.A., J. Theor. Biol., 250:723, 2008.
[70] Szolnoki A. and Perc M, Europhys. Lett., 86:30007, 2009.
[71] Moreira J.A., Pacheco J.M. and Santos F.C., Sci. Rep., 1521, 2013.
[72] Cardillo A., Meloni ., Gómez-Gardeñes J. and Moreno Y., Phys. Rev. E, 85:067101, 2012.
[73] Wang .Z., Szolnoki A. and Perc M., Sci. Rep., 2:369, 2012.
[74] Wang Z, Szolnoki A. and Perc M., Phys. Rev. E, 85:037101, 2012.
[75] Sicardi E.A., Fort H., Vainstein M.H. and Arenzon J.J., J. Theor. Biol., 256:240, 2009.
[76] Ichinose G., Saito M., Sayama H., and Wilson D.S., Sci. Rep., 3:2509, 2013.
[77] Szolnoki A., Perc M. and Danku Z., EPL Europhys. Lett., 84:50007, 2008.
[78] Yang Z., Li Z., Wu T. and Wang L., Phys, A Stat. Mech. Its. Appl., 392:2038, 2013.
[79] Poncela J., Gómez-Gardeñes J., Traulsen A. and Moreno Y., New J. Phys., 11:083031, 2009.
[80] Liu J., Meng H., Wang W., Xie Z. and Yu Q., Appl. Math. Comput., 340:234, 2019.
[81] Jia D., Shen C., Li X., Boccaletti S. and Wang Z., EPL, 127:68002, 2019.
[82] Chu C., Hu X., Shen C., Li T., Boccaletti S., Shi L. and Wang Z., Chaos Solt. Fractals, 29:013139, 2019.
[83] Nowak M.A., Evolutionary Dynamics: Exploring the Equations of Life (Belknap Press, n.d.).
[84] Masuda N., 複雑ネットワークの科学 (産業図書, 2005).
[85] Erdős A.R.P., On the Evolution of Random Graphs (PUBLICATION OF THE MATHEMATICAL INSTITUTE
OF THE HUNGARIAN ACADEMY OF SCIENCES, 1960), pp. 17–61.
[86] Watts D.J. and Strogatz S.H., Nature 393, 440, 1998.
[87] Newman M., Phys. Rev. Lett. 89, 208701, 2002.
106
[88] Barabási A., Science (80-. ). 286, 509, 1999.
[89] Yamauchi A., Tanimoto J. and Hagishima A., Biosystems. 103, 85, 2011.
[90] Deng, L.-L., Tang, W.-S. and Zhang, J.-X., 390, 4227-4235, 2011.
[91] Nowak M.A. and Sigmund, K, Acta Applicandae Math. 20, 247-265, 1990.
[92] Metz, J.A.J., Geritz, S.A.H., Meszena, F.J., Jacobs, F.J.A. and van Heerwaardenm, J.S., (Van Strien, S.J., Verduyn
Lunel, S.M., eds), 183-231, Amsterdam, North Holland, 1996.
[93] Gao J., Li Z., Wu T. and Wang, EPL 93, 48002, 2011.
[94] Tanimoto J., Int. J. Mod. Phys.C22 (4), 401-407, 2011.
[95] Santos F.C., Pacheco J.M. and Lenaerts T., PLoS Comput. Biol. 2 (10), 1284–1291, 2006.
[96] Tharler R.H., J. Econ. Pers. 2, 195-206, 1988.
[97] Güth W. and Tietze R., Ultimatum Bargaining behavior, a survey and conparison of experimental result, c11, 417449, 1990.
[98] Roth A.E., Bargaining experiments, in Handbook of Experimental Economics, Princeton University Press, 1995.
[99] Fehr E. and Achmind K., Quart. J. Econ. 114, 817-868, 1999.
[100]
Sigmund K. and Nowak M.A., Sci. Am. 286, 82-87, 2002.
[101]
Bolton G.E. and Zwick R., Games Econ. Behav. 10, 95-121, 1995.
[102]
Miyaji K., Tanimoto J., Wang Z., Hagishima A. and Ikegaya N., PLoS One 8, e71961 , 2013.
[103]
Tanimoto J. and Sagara H., Biosystems 90, 105 , 2007.
[104]
Zhong W., Kokubo S. and Tanimoto J., Biosystems. 107, 88 , 2012.
[105]
Wang Z. and Perc M., Phys. Rev. E 82, 021115 , 2010.
[106]
Hauert C. and Doebeli M., Nature 428, 643 , 2004.
[107]
Miyaji K., Tanimoto J., Hagishima A. and Ikegaya N., Phys. Rev. E 88, 062149 , 2013.
[108]
Shigaki K., Wang Z., Tanimoto J. and Fukuda E., PLoS ONE 8, e76942, 2013.
[109]
Tanimoto J., Phys. Rev. E 87, 062136 , 2013.
[110]
Tanimoto J., Phys. A Stat. Mech. Its Appl. 389, 3325, 2010.
[111]
Santos F.C., Pacheco J.M., and Lenaerts T., PLoS Comput. Biol. 2, e140, 2006.
[112]
Nowak M., Santos F.C., Pinheiro F.L., Lenaerts T. and Pacheco J.M., J. Theor. Biol. 299, 88, 2012.
107
謝辞
本論文を制作するにあたり指導してくださった谷本潤先生,萩島理先生,池谷直樹先生に心
から感謝いたします.
...