An Investigation of Competitive Preference Structures and Posterior Performance Through a Bayesian Decision-Theoretic Approach
通过贝叶斯决策框架分析重复进行的2x2两人非零和非合作博弈中竞争者的偏好结构与后验绩效,提出分类方案并讨论与博弈论结果的关系。
In this paper we analyze competitive decision-making situations in terms of their preference structures and posterior performance, through a Bayesian decision-theoretic framework. The setting is that of a two-by-two, two-person, non-zero-sum and noncooperative game which is repeated over time. The dynamic behavior of the competitors for different classes of games, as identified by their preference structures, is examined and a classification scheme is proposed for the purpose of unification. The competitors' dynamic behavior and posterior performance for some general classes of games is then derived, and the relationship to the results implied from game-theoretic considerations is discussed. Illustrative examples are given, too.