پديد آورنده :
بنادكيان، مرجان
عنوان :
بازي هاي تكاملي روي شبكه هاي منظم
مقطع تحصيلي :
كارشناسي ارشد
محل تحصيل :
اصفهان : دانشگاه صنعتي اصفهان
صفحه شمار :
نه، 43ص.: مصور
استاد راهنما :
كيوان آقابابايي ساماني
استاد مشاور :
فرهاد شهبازي
توصيفگر ها :
نظريه بازي , بازي معماي زنداني , ديناميك تكاملي , ماتريس امتياز
استاد داور :
فرهاد فضيله ، وحيد سالاري
تاريخ ورود اطلاعات :
1399/09/30
تاريخ ويرايش اطلاعات :
1399/10/03
چكيده انگليسي :
Abstract Prediction of special conditions for be er management of people is required to a ieve major goals of societywhi is of high value by today s extensive communications Mathematics can solve the problem by both gametheory and network theory is study aims at modeling the relationships between people based on particularfrequencies of payo matrix of Prison s Dilemma and investigating the impact of the network s symmetry onpopulation s dynamic of a complex system by considering a constant place for every member In this model the game is repeated to make sure of the stable frequency of species Time series are considered discrete tolet all members play the game with their pre de ned neighbors simultaneously then all members payo s arecompared at the same time Whether ea member gets the highest payo among his her neighbors or one ofhis her neighbors get the highest payo he she considers his her previous approa or imitates the approa ofthe neighbor with a higher payo respectively for the next round of the game ree types of regular networks called square hexagonal and triangular are selected for locating species on cells It was expected to observe ahomogenous population faster the domination of one species over the other one and a more complex populationdynamic by increasing the number of neighbors e matrix of Prisoner s Dilemma is simpli ed for various fre quencies then Defectors and Cooperators competed for 100 times e following results were obtained for bothspecies in di erent networks For square la ice the approa of cooperation could be seen in most cases and withdi erent population ratios whi leads to having the majority of the population Moreover coexistence of bothspecies and even domination of the Defector s approa over the whole population were observed in a durationof payo by Defectors against Cooperators For Hexagonal or Honeycomb la ice cooperation approa will bethe winner if the frequency of Defectors is less and the di erence between Defectors payo and Cooperators one is low For Triangular la ice Defector s approa was the winner because the e ect of neighbor s payo was signi cantly low on anging the approa from defection toward cooperation In addition the tendencyto defect was increasingly high Key words Spatial Game eory Payo Matrix Prisoner s Dilemma Evolution of Population
استاد راهنما :
كيوان آقابابايي ساماني
استاد مشاور :
فرهاد شهبازي
استاد داور :
فرهاد فضيله ، وحيد سالاري