Game-Theoretic Specificity of a Competitive Allocation of the Frequency Spectrum

IF 0.5 4区 计算机科学 Q4 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Journal of Computer and Systems Sciences International Pub Date : 2024-01-12 DOI:10.1134/s1064230723060059
V. S. Kaplan, N. M. Novikova, I. I. Pospelova
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Abstract

We consider the problem of developing and optimizing the rules of the spectrum auction. One-sided sealed-bid spectrum auctions are studied. Two types of pricing are compared theoretically: the first-price and the second-price. А game model of the auction with free riders is constructed. A free rider uses frequencies purchased by another such participant for free. All Nash equilibria of the obtained games are found and represented in an analytical form. The significant difference between games with all free riders and games with at least one ordinary player is shown. It is proved that when players eliminate their dominated strategies, the resulting auction price of the lot is determined by its value for ordinary players. In the case when all players are free riders, the price is equal to the minimal bid price. The influence of the information the participants have about their partners’ values of a lot on the outcome of the game is discussed. The theoretically obtained properties are in agreement with the results of the experiments presented for spectrum auctions in the scientific literature.

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竞争性频谱分配的博弈论特异性
摘要 我们考虑了制定和优化频谱拍卖规则的问题。我们研究了单边密封出价的频谱拍卖。从理论上比较了两种定价方式:第一定价和第二定价。构建了有搭便车者的拍卖博弈模型。免费搭车者免费使用另一位此类参与者购买的频率。找到了所获博弈的所有纳什均衡点,并以分析形式表示出来。结果表明,所有自由骑手参与的博弈与至少有一个普通参与者参与的博弈之间存在显著差异。研究证明,当博弈者消除了他们的受支配策略后,所得到的拍品拍卖价格是由普通博弈者的价值决定的。在所有参与者都是搭便车者的情况下,价格等于最小出价。我们还讨论了参与者所掌握的关于其伙伴对拍品价值的信息对博弈结果的影响。理论上得出的特性与科学文献中频谱拍卖的实验结果一致。
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来源期刊
Journal of Computer and Systems Sciences International
Journal of Computer and Systems Sciences International 工程技术-计算机:控制论
CiteScore
1.50
自引率
33.30%
发文量
68
审稿时长
6-12 weeks
期刊介绍: Journal of Computer and System Sciences International is a journal published in collaboration with the Russian Academy of Sciences. It covers all areas of control theory and systems. The journal features papers on the theory and methods of control, as well as papers devoted to the study, design, modeling, development, and application of new control systems. The journal publishes papers that reflect contemporary research and development in the field of control. Particular attention is given to applications of computer methods and technologies to control theory and control engineering. The journal publishes proceedings of international scientific conferences in the form of collections of regular journal articles and reviews by top experts on topical problems of modern studies in control theory.
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