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2022 | OriginalPaper | Buchkapitel

Population Dynamics and Its Instability in a Hawk-Dove Game on the Network

verfasst von : Tomoko Sakiyama

Erschienen in: Complex Networks & Their Applications X

Verlag: Springer International Publishing

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Abstract

Evolutionary game theory reveals biological processes in populations and cooperative interactions with their neighbors. Game theory can be applied to the network evolution since social dilemma is observed in various scenarios. Recently, we investigated the link evolution using the hawk-dove game (HD) on the network system. In this model, players connected/disconnected with their neighbors based on their experiences and we found that the network structure varied depending on the time. Since a critical behavior was found in our model, we succeeded in producing a scale-free network from a random network. Here, we further investigate the population dynamics and its relation to a critical phenomenon using the above proposed model.

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Literatur
1.
Zurück zum Zitat Perc, M.: Uncertainties facilitate aggressive behaviour in a spatial hawk–dove game. Int. J. Bifurcat. Chaos 17, 4223–4227 (2007)CrossRefMATH Perc, M.: Uncertainties facilitate aggressive behaviour in a spatial hawk–dove game. Int. J. Bifurcat. Chaos 17, 4223–4227 (2007)CrossRefMATH
2.
Zurück zum Zitat Hauert, C., Doebeli, M.: Spatial structure often inhibits the evolution of cooperation in the snowdrift game. Nature 428, 643–646 (2004)CrossRef Hauert, C., Doebeli, M.: Spatial structure often inhibits the evolution of cooperation in the snowdrift game. Nature 428, 643–646 (2004)CrossRef
3.
Zurück zum Zitat Killingback, T., Coebeli, M.: Spatial evolutionary game theory: Hawks and Doves revisited. Proc. R Soc. Lond. B 263, 1135–1144 (1996)CrossRef Killingback, T., Coebeli, M.: Spatial evolutionary game theory: Hawks and Doves revisited. Proc. R Soc. Lond. B 263, 1135–1144 (1996)CrossRef
4.
Zurück zum Zitat Sakiyama, T., Arizono, I.: An adaptive replacement of the rule update triggers the cooperative evolution in the Hawk-Dove game. Chaos Solitons Fractals 121, 59–62 (2019)MathSciNetCrossRef Sakiyama, T., Arizono, I.: An adaptive replacement of the rule update triggers the cooperative evolution in the Hawk-Dove game. Chaos Solitons Fractals 121, 59–62 (2019)MathSciNetCrossRef
5.
Zurück zum Zitat Doebeli, M., Hauert, C.: Models of cooperation based on the Prisoner’s Dilemma and the Snowdrift game. Ecol. Lett. 8, 748–766 (2005)CrossRef Doebeli, M., Hauert, C.: Models of cooperation based on the Prisoner’s Dilemma and the Snowdrift game. Ecol. Lett. 8, 748–766 (2005)CrossRef
6.
Zurück zum Zitat Dunne, J.A., Williams, R.J., Martinez, N.D.: Food-web structure and network theory: the role of connectance and size. Proc. Natl. Acad. Sci. USA 99, 12917–12922 (2002)CrossRef Dunne, J.A., Williams, R.J., Martinez, N.D.: Food-web structure and network theory: the role of connectance and size. Proc. Natl. Acad. Sci. USA 99, 12917–12922 (2002)CrossRef
7.
Zurück zum Zitat Montoya, J.M., Solé, R.V.: Small world patterns in food webs. J. Theor. Biol 214, 405–412 (2002)CrossRef Montoya, J.M., Solé, R.V.: Small world patterns in food webs. J. Theor. Biol 214, 405–412 (2002)CrossRef
8.
Zurück zum Zitat Rhodes, M., Wardell-Johnson, G.W., Rhodes, M.P., Raymond, B.: Applying network analysis to the conservation of habitat trees in urban environments: a case study from Brisbane Australia. Conserv. Biol. 20, 861–870 (2006)CrossRef Rhodes, M., Wardell-Johnson, G.W., Rhodes, M.P., Raymond, B.: Applying network analysis to the conservation of habitat trees in urban environments: a case study from Brisbane Australia. Conserv. Biol. 20, 861–870 (2006)CrossRef
9.
Zurück zum Zitat Ohtsuki, H., Hauert, C., Lieberman, E., Nowak, M.A.: A simple rule for the evolution of cooperation on graphs and social networks. Nature 441, 502–505 (2006)CrossRef Ohtsuki, H., Hauert, C., Lieberman, E., Nowak, M.A.: A simple rule for the evolution of cooperation on graphs and social networks. Nature 441, 502–505 (2006)CrossRef
10.
Zurück zum Zitat Filotas, E., Grant, M., Parrott, L., Rikvold, P.A.: The effect of positive interactions on community structure in a multi-species metacommunity model along an environmental gradient. Ecol. Model. 221(6), 885–894 (2010)CrossRefMATH Filotas, E., Grant, M., Parrott, L., Rikvold, P.A.: The effect of positive interactions on community structure in a multi-species metacommunity model along an environmental gradient. Ecol. Model. 221(6), 885–894 (2010)CrossRefMATH
11.
Zurück zum Zitat Sakiyama, T.: A power-law network in an evolutionary Hawk-Dove game. Chaos Solitons Fractals 146(110932), 1–6 (2021)MathSciNetMATH Sakiyama, T.: A power-law network in an evolutionary Hawk-Dove game. Chaos Solitons Fractals 146(110932), 1–6 (2021)MathSciNetMATH
Metadaten
Titel
Population Dynamics and Its Instability in a Hawk-Dove Game on the Network
verfasst von
Tomoko Sakiyama
Copyright-Jahr
2022
DOI
https://doi.org/10.1007/978-3-030-93409-5_34

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