第三方支付平台交易的粗糙博弈模型及算法研究

Research of Rough Game Model and Algorithm on Third-party Payment Platform Transaction

鉴于第三方支付平台交易的参与者在策略选择时存在着不可分辨现象和博弈,而目前粗糙博弈论的研究仍缺少系统化的理论成果。本文首先对照经典博弈论的概念,给出了粗糙博弈论的定义,然后创立了求解n人非合作完全信息静态粗糙博弈论的混合策略均衡解的算法,最后建立了第三方支付平台交易的粗糙博弈模型,并给出模型的均衡解。应用实例表明模型和算法是有效可行的,比较符合当前第三方支付平台交易的实际状况和参与人的关系现状,模型的求解结果能够指导博弈各方更好地确定自己的策略。粗糙博弈论及非合作完全信息静态粗糙博弈论的混合策略均衡解的算法研究,给第三方支付平台交易的管理者提供了科学有益的借鉴。

Research of the third-party payment platform transaction problem is one of the hot spots in the currentInternet economy. In view of participants of the third-party payment platform transaction, in the policy choicesindiscernible phenomenon and the game exist, and the current rough game theory research is still lack of system-atic theoretical results. This paper defines a rough game theory, comparing the concept of the classic game theo-ry, and gives the algorithms of mixed strategy equilibrium on n people non-cooperative complete information staticrough game theory. For a limited strategy set, by knowledge reduction and extract decision rules, it gives analgorithm 1 ; for an unlimited strategy set, according to the basic idea of the micro-element method and the basicprinciples of particle swarm optimization, it gives algorithm 2. Then the paper establishes third-party paymentplatform transaction rough game model, including the buyer and the seller, the seller and the third-party, theseller and the seller, the buyer, the seller, and the third-party of the three. Finally the paper gives the model＇s equilibrium using theories and algorithms. Application examples show that models and algorithms are effectiveand feasible, mixed strategy equilibrium of models are good in line with the status of the relationship and the ac-tual situation in the current e-transactions, so participants can determine their own strategy to easy and better.The research of concept of rough game theory and the algorithms of mixed strategy equilibrium on n people non-cooperative complete information static rough game theory provide a scientific useful reference to the third-partypayment platform transaction managers.