This paper describes how Distributed Ledger Technologies can be used to enforce social contracts and to orchestrate the behaviour of agents trying to access a shared resource. The first part of the paper analyses the advantages and disadvantages of using Distributed Ledger Technologies architectures to implement certain control systems in an Internet of Things (IoT) setting, and then focuses on a specific type of DLT based on a Directed Acyclic Graph. In this setting we propose a set of delay differential equations to describe the dynamical behaviour of the Tangle, an IoTinspired Directed Acyclic Graph designed for the cryptocurrency IOTA. The second part proposes an application of Distributed Ledger Technologies as a mechanism for dynamic deposit pricing, wherein the deposit of digital currency is used to orchestrate access to a network of shared resources. The pricing signal is used as a mechanism to enforce the desired level of compliance according to a predetermined set of rules. After presenting an illustrative example, we analyze the control system and provide sufficient conditions for the stability of the network.
I. INTRODUCTORY REMARKSBitcoin, and the technology that underpins it, Blockchain, have recently become a source of great debate and controversy in both business and scientific communities. To its supporters, Distributed Ledger Technology (DLT) (the agnostic term for Blockchain and related technologies)[1][2] is a key technology that will unlock new disruptive business models such as peer to peer trading, protect the rights of individuals, democratise society, and remove the need for central arbiters in many applications (the greedy middle that manages and exploits our assets and identities for financial reward). To its detractors, DLT is nothing more than pure hype, irrational speculation, and a means to enable new forms of illegality built on the anonymity that underpins the technology. DLT as a technology is truly unparalleled in its ability to split and divide opinions. Countries such as Switzerland and Singapore are openly embracing its potential, while other countries, such as China and India are trying to regulate its use [3]. Leading societal thinkers are also split on DLT; with George Soros 1 thinking it to be nothing more than a bubble and others such as Al Gore embracing the idea that algorithms might one day assume some of the functions of government 2 . A first version of this manuscript is posted to the Arxiv, arXiv:1807.00649 1 https://www.forbes.com/sites/gurufocus/2018/01/25/george-soros-fromdavos-bitcoin-is-a-typical-bubble/#7a1d097929d0 2 https://www.forbes.com/sites/ksamani/2017/10/04/how-crypto-willreshape-capitalism-as-we-know-it/2/#5b9daa0e6ed4 Though the schism in DLT thinking is very real, everyone seems to agree on one basic fact -that DLT is potentially a very disruptive technology. Even opponents of the technology are exploring the many ways it can be used, and the consequent potential implications for society. Roughly speaking, as the name suggests, DLT is a technology...