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A blockchain faces two fundamental challenges. It must motivate users to maintain the system while preventing a minority of these users from colluding and gaining disproportionate control. Many popular public blockchains use monetary…

Cryptography and Security · Computer Science 2021-10-15 Shea Ketsdever , Michael J. Fischer

We propose the formal study of governed blockchains that are owned and controlled by organizations and that neither create cryptocurrencies nor provide any incentives to solvers of cryptographic puzzles. We view such approaches as…

Cryptography and Security · Computer Science 2017-05-17 Leif-Nissen Lundbaek , Andrea Callia D'Iddio , Michael Huth

The blocks in the Bitcoin blockchain record the amount of work W that went into creating them through proofs of work. When honest parties control a majority of the work, consensus is achieved by picking the chain with the highest recorded…

Cryptography and Security · Computer Science 2025-08-05 Mirza Ahad Baig , Christoph U. Günther , Krzysztof Pietrzak

We study long-term equilibria that arise in the token monetary policy, or tokenomics, design of proof-of-stake (PoS) blockchain systems that engage utility maximizing users and validators. Validators are system maintainers who get rewarded…

Computer Science and Game Theory · Computer Science 2025-02-13 Aggelos Kiayias , Philip Lazos , Paolo Penna

Most concurrent blockchain systems rely heavily on the Proof-of-Work (PoW) or Proof-of-Stake (PoS) mechanisms for decentralized consensus and security assurance. However, the substantial energy expenditure stemming from computationally…

Cryptography and Security · Computer Science 2026-05-05 Zishuo Zhao , Zhixuan Fang , Xuechao Wang , Xi Chen , Hongxu Su , Haibo Xiao , Yuan Zhou

Bitcoin is a "crypto currency", a decentralized electronic payment scheme based on cryptography. Bitcoin economy grows at an incredibly fast rate and is now worth some 10 billions of dollars. Bitcoin mining is an activity which consists of…

Cryptography and Security · Computer Science 2014-12-03 Nicolas T. Courtois , Lear Bahack

Bitcoin-NG, a scalable blockchain protocol, divides each block into a key block and many micro blocks to effectively improve the transaction processing capacity. Bitcoin-NG has a special incentive mechanism (i.e. splitting transaction fees…

Cryptography and Security · Computer Science 2020-06-23 Taotao Wang , Xiaoqian Bai , Hao Wang , Soung Chang Liew , Shengli Zhang

It has been known for some time that the Nakamoto consensus as implemented in the Bitcoin protocol is not totally aligned with the individual interests of the participants. More precisely, it has been shown that block withholding mining…

Cryptography and Security · Computer Science 2025-02-07 Cyril Grunspan , Ricardo Perez-Marco

Open-access blockchains based on proof-of-work protocols have gained tremendous popularity for their capabilities of providing decentralized tamper-proof ledgers and platforms for data-driven autonomous organization. Nevertheless, the…

Cryptography and Security · Computer Science 2019-05-14 Shaohan Feng , Wenbo Wang , Zehui Xiong , Dusit Niyato , Ping Wang , Shaun Shuxun Wang

Blockchain plays a crucial role in ensuring the security and integrity of decentralized systems, with the proof-of-work (PoW) mechanism being fundamental for achieving distributed consensus. As PoW blockchains see broader adoption, an…

Systems and Control · Electrical Eng. & Systems 2026-01-07 Xunqiang Lan , Xiao Tang , Ruonan Zhang , Bin Li , Qinghe Du , Dusit Niyato , Zhu Han

We study the strategic implications that arise from adding one extra option to the miners participating in the bitcoin protocol. We propose that when adding a block, miners also have the ability to pay forward an amount to be collected by…

Computer Science and Game Theory · Computer Science 2019-05-21 Elias Koutsoupias , Philip Lazos , Paolo Serafino , Foluso Ogunlana

We present a strategy for a single quantum miner with relatively low hashing power, with the same ramifications as a 51% attack. Bitcoin nodes consider the chain with the highest cumulative proof-of-work to be the valid chain. A quantum…

Quantum Physics · Physics 2024-10-01 Bolton Bailey , Or Sattath

Many blockchain systems today, including Bitcoin, rely on Proof of Work (PoW). Proof of work is crucial to the liveness and security of cryptocurrencies. The assumption when using PoW is that a lot of trial and error is required on average…

Cryptography and Security · Computer Science 2021-11-09 Maya Dotan , Saar Tochner

As cross-chain technologies make the interactions among different blockchains (hereinafter "chains") possible, multi-chains consensus is becoming more and more important in blockchain networks. However, more attention has been paid to the…

Cryptography and Security · Computer Science 2021-11-03 Wenbo Zhang , Tao Wang , Jingyu Feng

Blockchain stores information into a chain of "blocks", whose integrity is usually guaranteed by Proof of Work (PoW). In many blockchain applications (including cryptocurrencies), users compete with each other to win the ownership of the…

Cryptography and Security · Computer Science 2018-10-09 Wei Li

While cryptocurrencies and blockchain applications continue to gain popularity, their energy cost is evidently becoming unsustainable. In most instances, the main cost comes from the required amount of energy for the Proof-of-Work, and this…

Cryptography and Security · Computer Science 2019-08-20 Philippe Jacquet , Bernard Mans

The resource-consuming mining of blocks on a blockchain equipped with a proof of work consensus protocol bears the risk of ruin, namely when the operational costs for the mining exceed the received rewards. In this paper we investigate to…

Cryptography and Security · Computer Science 2021-09-08 Hansjoerg Albrecher , Dina Finger , Pierre-Olivier Goffard

Proof-of-work computation used in cryptocurrencies has witnessed significant growth in the U.S. and many other regions around the world. One of the most significant bottlenecks for the scalable deployment of such computation is its energy…

Systems and Control · Electrical Eng. & Systems 2023-03-14 Ali Menati , Yuting Cai , Rayan El Helou , Chao Tian , Le Xie

The security of blockchain systems based on Proof of Work relies on mining. However, mining suffers from unstable revenue, prompting many miners to form cooperative mining pools. Most existing mining pools operate in a centralized manner,…

Cryptography and Security · Computer Science 2025-01-28 Akira Sakurai , Kazuyuki Shudo

Cryptocurrency achieves distributed consensus using proof of work (PoW). Prior research in blockchain security identified financially incentivized attacks based on withholding blocks which have the attacker compromise a victim pool and pose…

Cryptography and Security · Computer Science 2020-09-01 Sang-Yoon Chang
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