Some Kinds of Bargaining Equilibria of Multi-objective Games

• 作者: Chun WANG Hui YANG
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2021,（2）
• 页码范围: 201-213
• 页数: 13页
• 语种: 英文

摘要

To solve the choice of multi-objective game's equilibria,we construct general bargaining games called self-bargaining games,and define their individual welfare functions with three appropriate axioms.According to the individual welfare functions,we transform the multi-objective game into a single-objective game and define its bargaining equilibrium,which is a Nash equilibrium of the single-objective game.And then,based on certain continuity and concavity of the multi-objective game's payoff function,we proof the bargaining equilibrium still exists and is also a weakly Pareto-Nash equilibrium.Moreover,we analyze several special bargaining equilibria,and compare them in a few examples.