Double Auction Modeling Based on Fuzzy Game

Haixin Huang, Dingwei Wang
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引用次数: 3

Abstract

Double auction is a complex system for multiple-persons game and its uncertainty. Current research on auctions is mainly based on the probability game theory. In this paper, we propose double auction model based on the fuzzy theory. Define fuzzy sets to represent the auction participants’ bidding wills. Study auction participants’ actions and decisions using Bellman and Zadeh’s concept of confluence of fuzzy decisions instead of the game theoretic Nash equilibrium. Numerical experience shows the potential of the proposed approach for application in practical auctions.
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基于模糊博弈的双拍卖建模
双拍卖是一个复杂的多人博弈系统,具有不确定性。目前对拍卖的研究主要基于概率博弈论。本文提出了基于模糊理论的双重拍卖模型。定义模糊集来表示拍卖参与者的竞价意愿。用Bellman和Zadeh的模糊决策汇合概念代替博弈论的纳什均衡来研究拍卖参与者的行为和决策。数值经验表明了所提出的方法在实际拍卖中的应用潜力。
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