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A proof of the security of the Bitcoin protocol is made rigorous, and simplified in certain parts. A computational model in which an adversary can delay transmission of blocks by time $\Delta$ is considered. The protocol is generalized to…

Cryptography and Security · Computer Science 2026-04-17 Christopher Blake , Chen Feng , Xuechao Wang , Qianyu Yu

We study the strategic considerations of miners participating in the bitcoin's protocol. We formulate and study the stochastic game that underlies these strategic considerations. The miners collectively build a tree of blocks, and they are…

Computer Science and Game Theory · Computer Science 2016-07-11 Aggelos Kiayias , Elias Koutsoupias , Maria Kyropoulou , Yiannis Tselekounis

Bitcoin constructs temporal order internally rather than synchronizing to any external clock. Empirical evidence shows that its time evolution is non-continuous, probabilistic, and self-regulated. Block discovery follows a stochastic…

Cryptography and Security · Computer Science 2025-11-20 Bin Chen

Bitcoin-NG is an extensible blockchain protocol based on the same trust model as Bitcoin. It divides each epoch into one Key-Block and multiple Micro-Blocks, effectively improving transaction processing capacity. Bitcoin-NG adopts a special…

Cryptography and Security · Computer Science 2023-06-07 Junjie Hu , Zhe Jiang , Chunxiang Xu

Blockchains based on the celebrated Nakamoto consensus protocol have shown promise in several applications, including cryptocurrencies. However, these blockchains have inherent scalability limits caused by the protocol's consensus…

Cryptography and Security · Computer Science 2021-10-12 Qing Zhang , Xueping Gong , Huizhong Li , Hao Wu , Jiheng Zhang

Previous work presented a theoretical model based on the implicit Bitcoin specification for how an entity might issue a protocol native cryptocurrency that mimics features of fiat currencies. Protocol native means that it is built into the…

Cryptography and Security · Computer Science 2019-12-16 Peter Mell , Aurelien Delaitre , Frederic de Vaulx , Philippe Dessauw

We study to what extent the Bitcoin blockchain security permanently depends on the underlying distribution of cryptocurrency market outcomes. We use daily blockchain and Bitcoin data for 2014-2019 and employ the ARDL approach. We test three…

General Economics · Economics 2021-02-18 Pavel Ciaian , d'Artis Kancs , Miroslava Rajcaniova

Bitcoin is a representative decentralized currency system. For the security of Bitcoin, fairness in the distribution of mining rewards plays a crucial role in preventing the concentration of computational power in a few miners. Here,…

Cryptography and Security · Computer Science 2025-06-17 Akira Sakurai , Kazuyuki Shudo

We compute the revenue ratio of the Trail Stubborn mining strategy in the Bitcoin network and compare its profitability to other block-withholding strategies. We use for this martingale techniques and a classical analysis of the hiker…

Cryptography and Security · Computer Science 2018-11-26 Cyril Grunspan , Ricardo Pérez-Marco

Cryptocurrencies, based on and led by Bitcoin, have shown promise as infrastructure for pseudonymous online payments, cheap remittance, trustless digital asset exchange, and smart contracts. However, Bitcoin-derived blockchain protocols…

Cryptography and Security · Computer Science 2015-11-12 Ittay Eyal , Adem Efe Gencer , Emin Gun Sirer , Robbert van Renesse

Mining for Bitcoins is a high-risk high-reward activity. Miners, seeking to reduce their variance and earn steadier rewards, collaborate in pooling strategies where they jointly mine for Bitcoins. Whenever some pool participant is…

Computer Science and Game Theory · Computer Science 2017-03-14 Ben A. Fisch , Rafael Pass , Abhi Shelat

Many of the recent works on the profitability of rogue mining strategies hinge on a parameter called $\gamma$ that measures the proportion of the honest network attracted by the attacker to mine on top of his fork. These works, see…

Cryptography and Security · Computer Science 2022-08-23 Pantelis Tassopoulos , Yorgos Protonotarios

This paper investigates the fundamental trade-offs between block safety, confirmation latency, and transaction throughput of proof-of-work (PoW) longest-chain fork-choice protocols, also known as PoW Nakamoto consensus. New upper and lower…

Cryptography and Security · Computer Science 2024-12-05 Shu-Jie Cao , Dongning Guo

Cryptocurrencies have garnered a lot of attention by governments and internet enthusiasts over the past three years. These currencies are celebrated for their security and speedy transactions in a modern era of digital commerce. Bitcoin was…

Cryptography and Security · Computer Science 2023-02-13 David Watkins

The mystery about the ingenious creator of Bitcoin concealing behind the pseudonym Satoshi Nakamoto has been fascinating the global public for more than a decade. Suddenly jumping out of the dark in 2008, this persona hurled the…

General Literature · Computer Science 2022-09-13 Jens Ducrée

Bitcoin-NG is among the first blockchain protocols to approach the \emph{near-optimal} throughput by decoupling blockchain operation into two planes: leader election and transaction serialization. Its decoupling idea has inspired a new…

Cryptography and Security · Computer Science 2020-10-06 Jianyu Niu , Ziyu Wang , Fangyu Gai , Chen Feng

We study selfish mining attacks in longest-chain blockchains like Bitcoin, but where the proof of work is replaced with efficient proof systems -- like proofs of stake or proofs of space -- and consider the problem of computing an optimal…

Cryptography and Security · Computer Science 2024-05-09 Krishnendu Chatterjee , Amirali Ebrahimzadeh , Mehrdad Karrabi , Krzysztof Pietrzak , Michelle Yeo , Đorđe Žikelić

Incentive mechanisms are central to the functionality of permissionless blockchains: they incentivize participants to run and secure the underlying consensus protocol. Designing incentive-compatible incentive mechanisms is notoriously…

Cryptography and Security · Computer Science 2020-08-06 Charlie Hou , Mingxun Zhou , Yan Ji , Phil Daian , Florian Tramer , Giulia Fanti , Ari Juels

Most current assessments use ex post proxies that miss uncertainty and fail to consistently capture the rapid change in bitcoin mining. We introduce a unified, ex ante statistical model that derives expected return, downside risk, and…

Computational Engineering, Finance, and Science · Computer Science 2025-12-24 Yuting Cai , Ruthav Sadali , Korok Ray , Chao Tian

What happens to mining when the Bitcoin price changes, when there are mining supply shocks, the price of energy changes, or hardware technology evolves? We give precise answers based on the technical forces and incentives in the system. We…

General Economics · Economics 2022-01-21 Nemo Semret
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