the circulation of a zk-PoI cryptocurrency Pareto dominates other PoW/PoS cryptocurrencies

    - the network effects arising from the social networks inherent to national identity cards and ePassports dominate PoW/PoS cryptocurrencies

    - the lower costs of its infrastructure imply the existence of a unique equilibrium where it dominates other forms of payment

    **Keywords**: zero-knowledge, remote attestation, anonymous credentials, incentive compatibility, dominant strategy equilibria, Nash equilibria, Price of Crypto-Anarchy, Pareto dominance, blockchain, cryptocurrencies
author:
- |
    David Cerezo Sánchez^^\
    [david@calctopia.com]{}
bibliography:
- '15\_home\_amnesia\_Persistent\_articleHaMafteach\_bib.bib'
title: '**Zero-Knowledge Proof-of-Identity**: [Sybil-Resistant, Anonymous Authentication on Permissionless Blockchains and Incentive Compatible, Strictly Dominant Cryptocurrencies]{}'
---

Introduction
============

Sybil-resistance for permissionless consensus comes at a big price since it needs to waste computation using Proof-of-Work (PoW), in addition to assuming that a majority of the participants must be honest. In contrast, permissioned consensus is able to overcome these issues assuming the existence of a Public-Key Infrastructure[@aaba; @cpps; @pbft] otherwise it would be vulnerable to Sybil attacks[@the-sybil-attack]: indeed, it has been recently proved[@cryptoeprint:2018:302] that consensus without authentication is impossible without using Proof-of-Work. Proof-of-Stake, the alternative to PoW, is economically inefficient because participants must keep capital at stake which incentivise coin hoarding and ultimately leads to lower transaction volume.

Another major 