Resource pricing games on graphs: existence of Nash equilibria
Resource pricing games on graphs: existence of Nash equilibria
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DOI：
10.1007/s11590-011-0411-2
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发表时间：
2011-10
影响因子：
1.6
通讯作者：
Yutaka Okaie;T. Nakano
中科院分区：
文献类型：
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作者：
Yutaka Okaie;T. Nakano
在这封信中，我们考虑图表上的非合作资源定价游戏，其中卖方（即玩家）为自己的资源设定价格以最大化收益，而买方则迁移以寻求最便宜的资源。我们提出了资源定价博弈的模型，并证明了纳什均衡在常规图和层次图上的存在性。获得的结果适用于市场经济、社会网络和计算机网络的研究，其中个人在空间扩展的环境中交易资源。
In this letter, we consider a non-cooperative resource pricing game on a graph where sellers (i.e., players) set the prices for their own resources to maximize the payoffs and buyers migrate to seek the least expensive resources. We present a model for the resource pricing game and prove the existence of Nash equilibria on regular and hierarchical graphs. The results obtained are applicable to the study of market economies, social networks and computer networks where individuals trade resources in a spatially extended environment.