典型文献
Algebraic Verification of Finite Group-Based Potential Games with Vector Payoffs
文献摘要：
This paper studies a class of strategic games,where players often collaborate with other players to form a group when making decisions,and the payoff functions of players in such games are presented as vector functions.First,using the semi-tensor product(STP)method,it is proved that a finite game with vector payoffs is potential if and only if its potential equation has solution.By adding a suitable weight vector to the vector payoffs of each player,a finite game with vector payoffs that is not potential can be converted into a potential game.Second,as a natural generalization,the authors consider the verification problem of the group-based potential games with vector payoffs.By solving a linear potential equation,a simple formula is obtained to calculate the corresponding potential function.Finally,some examples are presented and discussed in detail to illustrate the theoretical results.
文献关键词：
中图分类号：
作者姓名：
WANG Yuanhua;LI Haitao
作者机构：
Business School,Shandong Normal University,Ji'nan 250014,China;School of Mathematics and Statistics,Shandong Normal University,Ji'nan 250014,China
文献出处：
引用格式：
[1]WANG Yuanhua;LI Haitao-.Algebraic Verification of Finite Group-Based Potential Games with Vector Payoffs)[J].系统科学与复杂性学报（英文版）,2022(06):2131-2144
A类：
Payoffs
B类：
Algebraic,Verification,Finite,Group,Based,Potential,Games,Vector,This,paper,studies,class,strategic,games,where,players,often,collaborate,other,group,when,making,decisions,functions,such,are,presented,vector,First,using,semi,tensor,product,STP,method,proved,that,finite,payoffs,potential,only,its,equation,has,solution,By,adding,suitable,weight,each,not,can,be,converted,into,Second,natural,generalization,authors,consider,verification,problem,solving,linear,simple,formula,obtained,calculate,corresponding,Finally,some,examples,discussed,detail,illustrate,theoretical,results
AB值：
0.567063
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