{"title":"Effects of Vote Delegation in Blockchains: Who Wins?","authors":"Hans Gersbach, Manvir Schneider, Parnian Shahkar","doi":"arxiv-2408.05410","DOIUrl":null,"url":null,"abstract":"This paper investigates which alternative benefits from vote delegation in\nbinary collective decisions within blockchains. We begin by examining two\nextreme cases of voting weight distributions: Equal-Weight (EW), where each\nvoter has equal voting weight, and Dominant-Weight (DW), where a single voter\nholds a majority of the voting weights before any delegation occurs. We show\nthat vote delegation tends to benefit the ex-ante minority under EW, i.e., the\nalternative with a lower initial probability of winning. The converse holds\nunder DW distribution. Through numerical simulations, we extend our findings to\narbitrary voting weight distributions, showing that vote delegation benefits\nthe ex-ante majority when it leads to a more balanced distribution of voting\nweights. Finally, in large communities where all agents have equal voting\nweight, vote delegation has a negligible impact on the outcome. These insights\nprovide practical guidance for governance decisions in blockchains.","PeriodicalId":501188,"journal":{"name":"arXiv - ECON - Theoretical Economics","volume":"44 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - ECON - Theoretical Economics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.05410","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper investigates which alternative benefits from vote delegation in
binary collective decisions within blockchains. We begin by examining two
extreme cases of voting weight distributions: Equal-Weight (EW), where each
voter has equal voting weight, and Dominant-Weight (DW), where a single voter
holds a majority of the voting weights before any delegation occurs. We show
that vote delegation tends to benefit the ex-ante minority under EW, i.e., the
alternative with a lower initial probability of winning. The converse holds
under DW distribution. Through numerical simulations, we extend our findings to
arbitrary voting weight distributions, showing that vote delegation benefits
the ex-ante majority when it leads to a more balanced distribution of voting
weights. Finally, in large communities where all agents have equal voting
weight, vote delegation has a negligible impact on the outcome. These insights
provide practical guidance for governance decisions in blockchains.
本文研究了在区块链的二元集体决策中,哪种选择能从投票授权中获益。我们首先研究了投票权重分布的两种极端情况:等权重(EW),即每个投票者拥有相等的投票权重;多权重(DW),即在任何委托发生之前,单个投票者拥有多数投票权重。我们的研究表明,在 EW 分配下,投票委托往往有利于事前的少数派,即初始获胜概率较低的备选方案。反之,在 DW 分布下则成立。通过数值模拟,我们将研究结果扩展到了任意投票权重分布上,结果表明,当投票权重分布更均衡时,投票委托会使事前多数人受益。最后,在所有代理人投票权重相等的大型社区中,投票委托对结果的影响可以忽略不计。这些见解为区块链的治理决策提供了实际指导。