Effects of Vote Delegation in Blockchains: Who Wins?

Hans Gersbach, Manvir Schneider, Parnian Shahkar
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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.
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区块链中投票委托的影响:谁赢了?
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。
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