2020
DOI: 10.1007/s41109-020-0254-9
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On modeling blockchain-enabled economic networks as stochastic dynamical systems

Abstract: Blockchain networks have attracted tremendous attention for creating cryptocurrencies and decentralized economies built on peer-to-peer protocols. However, the complex nature of the dynamics and feedback mechanisms within these economic networks has rendered it difficult to reason about the growth and evolution of these networks. Hence, proper mathematical frameworks to model and analyze the behavior of blockchain-enabled networks are essential. To address this need, we establish a formal mathematical framewor… Show more

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Cited by 21 publications
(18 citation statements)
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References 43 publications
(37 reference statements)
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“…This section parallels extant work of[15] and[16] but does not require the formal ledger or block structure to define the state space representation.…”
mentioning
confidence: 85%
See 1 more Smart Citation
“…This section parallels extant work of[15] and[16] but does not require the formal ledger or block structure to define the state space representation.…”
mentioning
confidence: 85%
“…In principle one may use any positive on-chain measurable signal as a measure of progress, or key performance indicator (KPI), and vest as a function of this KPI in place of blocktime, as discussed in [16]. This is accomplished by substituting any strictly positive, non-decreasing measure for block height k in Equations (41) and (42).…”
Section: Lemmamentioning
confidence: 99%
“…Instead of modelling all miners with the same incentives, a forking model considers that miners already mining on a fork will have a higher incentive to take the bribe as they are invested in a fork. Additionally, the setup in [11] can be extended by a network game as a stochastic dynamic system [85] or a global game [65] with noisy observations (e.g., network delay, reward expectations). Moreover, we can incorporate various assumption of risk-appetite of miners [21], selfish mining [31], and the impact of block rewards in comparison to transaction fees [20,80].…”
Section: Forking Modelsmentioning
confidence: 99%
“…Here we introduce a minimal theory relevant to the understanding of the present study. For a more complete treatment, please see [16] and [6].…”
Section: The Statespace Framework: An Event Based State Space Modelmentioning
confidence: 99%