Flow Allocation Games

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-22 DOI:10.1287/moor.2022.0355

Nils Bertschinger, Martin Hoefer, Daniel Schmand

引用次数: 0

Abstract

We study a game-theoretic variant of the maximum circulation problem. In a flow allocation game, we are given a directed flow network. Each node is a rational agent and can strategically allocate any incoming flow to the outgoing edges. Given the strategy choices of all agents, a maximal circulation that adheres to the chosen allocation strategies evolves in the network. Each agent wants to maximize the amount of flow through his or her node. Flow allocation games can be used to express strategic incentives of clearing in financial networks. We provide a cumulative set of results on the existence and computational complexity of pure Nash and strong equilibria as well as tight bounds on the (strong) prices of anarchy and stability. Our results show an interesting dichotomy. Ranking strategies over individual flow units allows us to obtain optimal strong equilibria for many objective functions. In contrast, more intuitive ranking strategies over edges can give rise to unfavorable incentive properties.Funding: This work was supported by Deutsche Forschungsgemeinschaft Research Group ADYN [411362735].

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流量分配游戏

我们研究的是最大流通问题的博弈论变体。在流量分配博弈中，我们给定了一个有向流量网络。每个节点都是理性的代理，可以有策略地将任何流入的流量分配给流出的边。考虑到所有代理的策略选择，网络中会形成一个符合所选分配策略的最大流通量。每个代理都希望最大化通过其节点的流量。流量分配博弈可用于表达金融网络中的清算策略激励。我们就纯纳什均衡和强均衡的存在性和计算复杂性以及无政府状态和稳定性的（强）价格提供了一系列累积结果。我们的结果显示了一个有趣的二分法。通过对单个流量单位进行排序，我们可以获得许多目标函数的最优强均衡。相比之下，更直观的边缘排序策略可能会产生不利的激励特性：本研究得到了德国科学基金会 ADYN 研究小组 [411362735] 的支持。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.