张艳玲等：演化博弈与资源配置综述 409. evolution of cooperation and network game theory.Sci Sin Phys games.Proc Natl Acad Sci USA,2014,111(49):17558 Mech Astron,.2020,50(1):118 [53]Hilbe C.Simsa S,Chatteriee K,et al.Evolution of cooperation in (荣智海，许雄锐，吴枝喜.合作演化与网络博弈实验研究进展 stochastic games.Nature,2018,559(7713):246 中国科学：物理学力学天文学，2020,50(1)：118) [54]Su Q,MeAvoy A,Wang L,et al.Evolutionary dynamics with [33]Perc M,Gomez-Gardenes J,Szolnoki A,et al.Evolutionary game transitions.Proc Natl Acad Sci USA,2019,116(51):25398 dynamics of group interactions on structured populations:A [55] WeitzJS,Eksin C,Paarporn K,et al.An oscillating tragedy of review.J R Soc Interface,2013,10(80):20120997 the commons in replicator dynamics with game-environment [34]Nowak M A.Five rules for the evolution of cooperation.Science, feedback.Proc Natl Acad Sci USA,2016,113(47):E7518 2006.314(5805):1560 [56] Chen P,Li Q,Zhang D Z,et al.A survey of multimodal machine [35]Van Cleve J.Building a synthetic basis for kin selection and learning.Chin Eng,2020,42(5):557 evolutionary game theory using population genetics.Theor Popul (陈鹏，李擎，张德政，等.多模态学习方法综述.工程科学学报 Biol,2020,133:65 202042(5):557) [36]Allen B,Nowak M A.There is no inclusive fitness at the level of [57]Lin Y H,Weitz J S.Spatial interactions and oscillatory tragedies the individual.Curr Opin Behay Sci,2016,12:122 of the commons.Phys Rev Lett,2019,122(14):148102 [37]Hilbe C,Chatterjee K,Nowak M A.Partners and rivals in direct [58]Chen X,Szolnoki A.Punishment and inspection for governing reciprocity.Nat Hum Behay,2018,2(7):469 the commons in a feedback-evolving game.PLoS Comput Biol, [38]Donahue K,Hauser O P,Nowak M A,et al.Evolving 2018,14(7):e1006347 cooperation in multichannel games.Nat Commm,2020,11:3885 [59]Nowak M A,May R M.Evolutionary games and spatial chaos. [39]Hilbe C,Schmid L,Tkadlec J,et al.Indirect reciprocity with Nature,1992,359(6398):826 private,noisy,and incomplete information.Proc Natl Acad Sci [60]Barabasi A L.Scale-free networks:A decade and beyond. US4,2018,115(48):12241 Science,.2009,325(5939):412 [40]Clark D,Fudenberg D,Wolitzky A.Indirect reciprocity with [61] McAvoy A,Adlam B,Allen B,et al.Stationary frequencies and simple records.Proc Natl Acad Sci USA,2020,117(21):11344 mixing times for neutral drift processes with spatial structure. [41] Hauert C,Saade C,McAvoy A.Asymmetric evolutionary games Pr0 c R Soc A,2018,474(2218):20180238 with environmental feedback./Theor Biol,2019,462:347 [62] Liu J Z,Meng H R,Wang W,et al.Evolution of cooperation on [42] Szolnoki A,Perc M.Second-order free-riding on antisocial independent networks:The influence of asymmetric information punishment restores the effectiveness of prosocial punishment. sharing updating mechanism.App/Math Comput,2019,340:234 Phy3RevX,2017,7(4):041027 [63]Deng Z H,Huang Y J,Gu Z Y,et al.Multi-games on [43]Cooney D B.Analysis of multilevel replicator dynamics for interdependent networks and the evolution of cooperation.Phys general two-strategy social dilemma.Bull Math Biol,2020. 4,2018,510:83 82(6):66 [64] Zhao J Q,Luo C,Zheng Y J.Evolutionary dynamics of the [44]McAvoy A,Allen B,Nowak M A.Social goods dilemmas in cooperation clusters on interdependent networks.Phys 4,2019, heterogeneous societies.Nat Hum Behav,2020,4(8):819 517:132 [45]Su Q,Li A,Wang L.Evolutionary dynamics under interactive [65]Chu C.Hu X.Shen C.et al.Self-organized interdependence diversity.New Phys,2017,19:103023 among populations promotes cooperation by means of [46]Su Q,Zhou L,Wang L.Evolutionary multiplayer games on coevolution.Chaos,2019,29(1):013139 graphs with edge diversity.PLoS Comput Biol,2019,15(4): [66] Szolnoki A,Perc M.Information sharing promotes prosocial e1006947 behaviour.New Phys,2013,15(5):053010 [47]Zhou L,Li A M,Wang L.Evolution of cooperation on complex [67]Szolnoki A.Chen X.Reciprocity-based cooperative phalanx networks with synergistic and discounted group interactions maintained by overconfident players.Phys Rev E,2018,98(2-1): EPL,2015,110(6):60006 022309 [48]Su Q,Li A,Wang L.Evolution of cooperation with interactive [68]Xia C Y,Li X P.Wang Z,et al.Doubly effects of information identity and diversity.J Theor Biol,2018,442:149 sharing on interdependent network reciprocity.New /Phys,2018, [49]Hauser O P,Hilbe C,Chatterjee K,et al.Social dilemmas among 20(7):075005 unequals.Nature,2019,572(7770):524 [69] Ibsen-Jensen R,Chatterjee K,Nowak M A.Computational [50]Szolnoki A,Chen X J.Environmental feedback drives complexity of ecological and evolutionary spatial dynamics.Proc cooperation in spatial social dilemmas.EPL,2017,120(5): Natl Acad Sci USA,2015,112(51):15636 58001 [70]Tarnita C E,Wage N,Nowak M A.Multiple strategies in [51]Akeay E.Collapse and rescue of cooperation in evolving structured populations.Proc Natl Acad Sci US4,2011,108(6): dynamic networks.Nat Commun,2018,9:2692 2334 [52]Stewart A J,Plotkin J B.Collapse of cooperation in evolving [71]Antal T,Ohtsuki H,Wakeley J,et al.Evolution of cooperation byevolution of cooperation and network game theory. Sci Sin Phys Mech Astron, 2020, 50（1）: 118 （荣智海, 许雄锐, 吴枝喜. 合作演化与网络博弈实验研究进展. 中国科学:物理学 力学 天文学, 2020, 50（1）：118） Perc  M,  Gómez-Gardeñes  J,  Szolnoki  A,  et  al.  Evolutionary dynamics  of  group  interactions  on  structured  populations:  A review. J R Soc Interface, 2013, 10（80）: 20120997 [33] Nowak M A. Five rules for the evolution of cooperation. Science, 2006, 314（5805）: 1560 [34] Van  Cleve  J.  Building  a  synthetic  basis  for  kin  selection  and evolutionary game theory using population genetics. Theor Popul Biol, 2020, 133: 65 [35] Allen B, Nowak M A. There is no inclusive fitness at the level of the individual. Curr Opin Behav Sci, 2016, 12: 122 [36] Hilbe C, Chatterjee K, Nowak M A. Partners and rivals in direct reciprocity. Nat Hum Behav, 2018, 2（7）: 469 [37] Donahue  K,  Hauser  O  P,  Nowak  M  A,  et  al.  Evolving cooperation in multichannel games. Nat Commun, 2020, 11: 3885 [38] Hilbe  C,  Schmid  L,  Tkadlec  J,  et  al.  Indirect  reciprocity  with private,  noisy,  and  incomplete  information. Proc Natl Acad Sci USA, 2018, 115（48）: 12241 [39] Clark  D,  Fudenberg  D,  Wolitzky  A.  Indirect  reciprocity  with simple records. Proc Natl Acad Sci USA, 2020, 117（21）: 11344 [40] Hauert C, Saade C, McAvoy A. Asymmetric evolutionary games with environmental feedback. J Theor Biol, 2019, 462: 347 [41] Szolnoki  A,  Perc  M.  Second-order  free-riding  on  antisocial punishment  restores  the  effectiveness  of  prosocial  punishment. Phys Rev X, 2017, 7（4）: 041027 [42] Cooney  D  B.  Analysis  of  multilevel  replicator  dynamics  for general  two-strategy  social  dilemma. Bull Math Biol,  2020, 82（6）: 66 [43] McAvoy  A,  Allen  B,  Nowak  M  A.  Social  goods  dilemmas  in heterogeneous societies. Nat Hum Behav, 2020, 4（8）: 819 [44] Su  Q,  Li  A,  Wang  L.  Evolutionary  dynamics  under  interactive diversity. New J Phys, 2017, 19: 103023 [45] Su  Q,  Zhou  L,  Wang  L.  Evolutionary  multiplayer  games  on graphs  with  edge  diversity. PLoS Comput Biol,  2019,  15（4）: e1006947 [46] Zhou L, Li A M, Wang L. Evolution of cooperation on complex networks  with  synergistic  and  discounted  group  interactions. EPL, 2015, 110（6）: 60006 [47] Su  Q,  Li  A,  Wang  L.  Evolution  of  cooperation  with  interactive identity and diversity. J Theor Biol, 2018, 442: 149 [48] Hauser O P, Hilbe C, Chatterjee K, et al. Social dilemmas among unequals. Nature, 2019, 572（7770）: 524 [49] Szolnoki  A,  Chen  X  J.  Environmental  feedback  drives cooperation  in  spatial  social  dilemmas. EPL,  2017,  120（5）: 58001 [50] Akçay  E.  Collapse  and  rescue  of  cooperation  in  evolving dynamic networks. Nat Commun, 2018, 9: 2692 [51] [52] Stewart  A  J,  Plotkin  J  B.  Collapse  of  cooperation  in  evolving games. Proc Natl Acad Sci USA, 2014, 111（49）: 17558 Hilbe C, Šimsa Š, Chatterjee K, et al. Evolution of cooperation in stochastic games. Nature, 2018, 559（7713）: 246 [53] Su  Q,  McAvoy  A,  Wang  L,  et  al.  Evolutionary  dynamics  with game transitions. Proc Natl Acad Sci USA, 2019, 116（51）: 25398 [54] Weitz J S, Eksin C, Paarporn K, et al. An oscillating tragedy of the  commons  in  replicator  dynamics  with  game-environment feedback. Proc Natl Acad Sci USA, 2016, 113（47）: E7518 [55] Chen P, Li Q, Zhang D Z, et al. A survey of multimodal machine learning. Chin J Eng, 2020, 42（5）: 557 （陈鹏, 李擎, 张德政, 等. 多模态学习方法综述. 工程科学学报, 2020, 42（5）：557） [56] Lin Y H, Weitz J S. Spatial interactions and oscillatory tragedies of the commons. Phys Rev Lett, 2019, 122（14）: 148102 [57] Chen  X,  Szolnoki  A.  Punishment  and  inspection  for  governing the  commons  in  a  feedback-evolving  game. PLoS Comput Biol, 2018, 14（7）: e1006347 [58] Nowak M A, May R M. Evolutionary games and spatial chaos. Nature, 1992, 359（6398）: 826 [59] Barabási  A  L.  Scale-free  networks:  A  decade  and  beyond. Science, 2009, 325（5939）: 412 [60] McAvoy A, Adlam B, Allen B, et al. Stationary frequencies and mixing  times  for  neutral  drift  processes  with  spatial  structure. Proc R Soc A, 2018, 474（2218）: 20180238 [61] Liu J Z, Meng H R, Wang W, et al. Evolution of cooperation on independent networks: The influence of asymmetric information sharing updating mechanism. Appl Math Comput, 2019, 340: 234 [62] Deng  Z  H,  Huang  Y  J,  Gu  Z  Y,  et  al.  Multi-games  on interdependent  networks  and  the  evolution  of  cooperation. Phys A, 2018, 510: 83 [63] Zhao  J  Q,  Luo  C,  Zheng  Y  J.  Evolutionary  dynamics  of  the cooperation  clusters  on  interdependent  networks. Phys A,  2019, 517: 132 [64] Chu  C,  Hu  X,  Shen  C,  et  al.  Self-organized  interdependence among  populations  promotes  cooperation  by  means  of coevolution. Chaos, 2019, 29（1）: 013139 [65] Szolnoki  A,  Perc  M.  Information  sharing  promotes  prosocial behaviour. New J Phys, 2013, 15（5）: 053010 [66] Szolnoki  A,  Chen  X.  Reciprocity-based  cooperative  phalanx maintained by overconfident players. Phys Rev E, 2018, 98（2-1）: 022309 [67] Xia C Y, Li X P, Wang Z, et al. Doubly effects of information sharing on interdependent network reciprocity. New J Phys, 2018, 20（7）: 075005 [68] Ibsen-Jensen  R,  Chatterjee  K,  Nowak  M  A.  Computational complexity of ecological and evolutionary spatial dynamics. Proc Natl Acad Sci USA, 2015, 112（51）: 15636 [69] Tarnita  C  E,  Wage  N,  Nowak  M  A.  Multiple  strategies  in structured  populations. Proc Natl Acad Sci USA,  2011,  108（6）: 2334 [70] [71] Antal T, Ohtsuki H, Wakeley J, et al. Evolution of cooperation by 张艳玲等： 演化博弈与资源配置综述 · 409 ·