We investigate the evolution of cooperation with evolutionary public goods games based on finite populations, where four pure strategies： cooperators, defectors, punishers and loners who are unwilling to participate ...We investigate the evolution of cooperation with evolutionary public goods games based on finite populations, where four pure strategies： cooperators, defectors, punishers and loners who are unwilling to participate are considered. By adopting approximate best response dynamics, we show that the magnitude of rationality not only quantitatively explains the experiment results in [Nature （London） 425 （2003） 390], but also it will heavily influence the evolution of cooperation. Compared with previous results of infinite populations, which result in two equilibriums, we show that there merely exists a special equilibrium cooperation. In addition, we characterize that loner＇s and the relevant high value of bounded rationality will sustain payoff plays an active role in the maintenance of cooperation, which will only be warranted for the low and moderate values of loner＇s payoff. It thus indicates the effects of rationality and loner＇s payoff will influence the cooperation. Finally, we highlight the important result that the introduction of voluntary participation and punishment will facilitate cooperation greatly.展开更多
＂Verbatim＂ is a kind of documentary theatre in which drama is made from the precise words spoken by people in evidence, witnessing or remembering. Raising political issues and controversial topics, My Name Is Rachel...＂Verbatim＂ is a kind of documentary theatre in which drama is made from the precise words spoken by people in evidence, witnessing or remembering. Raising political issues and controversial topics, My Name Is Rachel Corrie （2005） is not just a moving play about violence in the Palestinian conflict. It is the real story of the murder of an American activist＇s fighting to denounce the genocide of innocent people. The problems of censorship that the play suffered in his premiere in New York remark the voice of a controversial play in Broadway＇s world. This paper will examine the images of violence present in the play and the value of the speaker as a real witness展开更多
基金Supported by National Nature Science Foundation under Grant No.60904063the Tianjin municipal Natural Science Foundation under Grant Nos.11JCYBJC06600,11ZCKF6X00900,11ZCKFGX00900
文摘We investigate the evolution of cooperation with evolutionary public goods games based on finite populations, where four pure strategies： cooperators, defectors, punishers and loners who are unwilling to participate are considered. By adopting approximate best response dynamics, we show that the magnitude of rationality not only quantitatively explains the experiment results in [Nature （London） 425 （2003） 390], but also it will heavily influence the evolution of cooperation. Compared with previous results of infinite populations, which result in two equilibriums, we show that there merely exists a special equilibrium cooperation. In addition, we characterize that loner＇s and the relevant high value of bounded rationality will sustain payoff plays an active role in the maintenance of cooperation, which will only be warranted for the low and moderate values of loner＇s payoff. It thus indicates the effects of rationality and loner＇s payoff will influence the cooperation. Finally, we highlight the important result that the introduction of voluntary participation and punishment will facilitate cooperation greatly.
文摘＂Verbatim＂ is a kind of documentary theatre in which drama is made from the precise words spoken by people in evidence, witnessing or remembering. Raising political issues and controversial topics, My Name Is Rachel Corrie （2005） is not just a moving play about violence in the Palestinian conflict. It is the real story of the murder of an American activist＇s fighting to denounce the genocide of innocent people. The problems of censorship that the play suffered in his premiere in New York remark the voice of a controversial play in Broadway＇s world. This paper will examine the images of violence present in the play and the value of the speaker as a real witness
