平等和公正的数字货币网络
Egalitarian and Just Digital Currency Networks
摘要：
加密货币是一种具有分散控制的数字交换媒介，使运营加密货币的社区成为其主权。领先的加密货币使用工作量证明或权益证明来达成共识，因此本质上是富豪。这种富豪统治不仅反映在对执行的控制上，而且还反映在新财富的分配上，从而产生了“富人更富"的现象。在这里，我们探讨了一种替代数字货币的可能性，这种货币在控制上是平等的，在创造财富的分配上是公正的。这些货币可以以草根和具有弹性的方式形成和发展。一个单一货币共同体可以通过平等主义的铸币来实现分配正义，即每个成员在每个时间步都铸造一枚硬币。在一定限度内，平等主义的铸币会稀释继承的资产，并使每个成员在铸币中享有同等份额，这一份额由成员的相对生产力来调整。我们的主要定理表明，一个货币网络，代理人可以是一个以上的货币社区的成员，可以通过联合平等主义铸造在整个网络中实现全球分配正义，即每个代理人在每个时间步只在一个社区中铸造一枚硬币。具体来说，我们表明，两个社区之间足够大的交集-相对于他们的生产力差距-将导致他们的货币之间的汇率收敛到1：1，从而导致全球分配正义。
英文摘要：
Cryptocurrencies are a digital medium of exchange with decentralized control that renders the community operating the cryptocurrency its sovereign. Leading cryptocurrencies use proof-of-work or proof-of-stake to reach consensus, thus are inherently plutocratic. This plutocracy is reflected not only in control over execution, but also in the distribution of new wealth, giving rise to ``rich get richer'' phenomena. Here, we explore the possibility of an alternative digital currency that is egalitarian in control and just in the distribution of created wealth. Such currencies can form and grow in grassroots and sybil-resilient way. A single currency community can achieve distributive justice by egalitarian coin minting, whereby each member mints one coin at every time step. Egalitarian minting results, in the limit, in the dilution of any inherited assets and in each member having an equal share of the minted currency, adjusted by the relative productivity of the members. Our main theorem shows that a currency network, where agents can be members of more than one currency community, can achieve distributive justice globally across the network by joint egalitarian minting, whereby each agent mints one coin in only one community at each timestep. Specifically, we show that a sufficiently large intersection between two communities -- relative to the gap in their productivity -- will cause the exchange rates between their currencies to converge to 1:1, resulting in global distributive justice.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
