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A key component of security in decentralized blockchains is proof of opportunity cost among block producers. In the case of proof-of-work (PoW), currently used by the most prominent systems, the cost is due to spent computation. In this…

Cryptography and Security · Computer Science 2020-12-08 George Bissias , Rainer Böhme , David Thibodeau , Brian N. Levine

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

Proof-of-Work (PoW) is the most widely adopted incentive model in current blockchain systems, which unfortunately is energy inefficient. Proof-of-Stake (PoS) is then proposed to tackle the energy issue. The rich-get-richer concern of PoS…

Cryptography and Security · Computer Science 2021-03-31 Yuming Huang , Jing Tang , Qianhao Cong , Andrew Lim , Jianliang Xu

Blockchain protocols implement total-order broadcast in a permissionless setting, where processes can freely join and leave. In such a setting, to safeguard against Sybil attacks, correct processes rely on cryptographic proofs tied to a…

Cryptography and Security · Computer Science 2022-11-23 Sarah Azouvi , Christian Cachin , Duc V. Le , Marko Vukolic , Luca Zanolini

We study a game-theoretic model of blockchain mining economies and show that griefing, a practice according to which participants harm other participants at some lesser cost to themselves, is a prevalent threat at its Nash equilibria. The…

Computer Science and Game Theory · Computer Science 2021-06-24 Yun Kuen Cheung , Stefanos Leonardos , Georgios Piliouras , Shyam Sridhar

Cryptocurrencies have gained popularity due to their transparency, security, and accessibility compared to traditional financial systems, with Bitcoin, introduced in 2009, leading the market. Bitcoin's security relies on blockchain…

Cryptography and Security · Computer Science 2024-11-12 Dinitha Wijewardhana , Sugandima Vidanagamachchi , Nalin Arachchilage

Blockchain systems often employ proof-of-work consensus protocols to validate and add transactions into hashchains. These protocols stimulate competition among miners in solving cryptopuzzles (e.g. SHA-256 hash computation in Bitcoin) in…

Computer Science and Game Theory · Computer Science 2020-05-13 Venkata Sriram Siddhardh Nadendla , Lav R. Varshney

Proof-of-Work (PoW) systems face critical challenges, including excessive energy consumption and the centralization of mining power among entities with expensive hardware. Static mining pools exacerbate these issues by reducing competition…

Cryptography and Security · Computer Science 2025-04-25 Rizwanul Haque , SM Tareq Aziz , Tahrim Hossain , Faisal Haque Bappy , Muhammad Nur Yanhaona , Tariqul Islam

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

In a PoW-based blockchain network, mining pools (the solo miner could be regarded as a mining pool containing one miner) compete to successfully mine blocks to pursue rewards. Generally, the rewards include the fixed block subsidies and…

Computer Science and Game Theory · Computer Science 2021-10-20 Jinmian Chen , Yukun Cheng , Zhiqi Xu , Yan Cao

Proof-of-work blockchains reward each miner for one completed block by an amount that is, in expectation, proportional to the number of hashes the miner contributed to the mining of the block. Is this proportional allocation rule optimal?…

Computer Science and Game Theory · Computer Science 2019-09-25 Xi Chen , Christos Papadimitriou , Tim Roughgarden

Proof-of-stake (PoS) is a promising approach for designing efficient blockchains, where block proposers are randomly chosen with probability proportional to their stake. A primary concern with PoS systems is the "rich getting richer"…

Cryptography and Security · Computer Science 2018-10-17 Giulia Fanti , Leonid Kogan , Sewoong Oh , Kathleen Ruan , Pramod Viswanath , Gerui Wang

Although Bitcoin was intended to be a decentralized digital currency, in practice, mining power is quite concentrated. This fact is a persistent source of concern for the Bitcoin community. We provide an explanation using a simple model to…

Cryptography and Security · Computer Science 2018-11-22 Nick Arnosti , S. Matthew Weinberg

Bitcoin uses blockchain technology and proof-of-work (PoW) mechanism where nodes spend computing resources and earn rewards in return for spending these resources. This incentive system has caused power to be significantly biased towards a…

Cryptography and Security · Computer Science 2019-09-04 Yujin Kwon , Jian Liu , Minjeong Kim , Dawn Song , Yongdae Kim

Abrupt changes in the miner hash rate applied to a proof-of-work (PoW) blockchain can adversely affect user experience and security. Because different PoW blockchains often share hashing algorithms, miners face a complex choice in deciding…

Cryptography and Security · Computer Science 2018-06-20 George Bissias , Brian N. Levine , David Thibodeau

Bitcoin mining is a wasteful and resource-intensive process. To add a block of transactions to the blockchain, miners spend a considerable amount of energy. The Bitcoin protocol, named 'proof of work' (PoW), resembles a lottery and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-28 Andrei Lihu , Jincheng Du , Igor Barjaktarevic , Patrick Gerzanics , Mark Harvilla

Blockchain is rapidly emerging as an important class of network application, with a unique set of trust, security and transparency properties. In a blockchain system, participants record and update the `server-side' state of an application…

Networking and Internet Architecture · Computer Science 2022-05-24 Yifan Mao , Shaileshh Bojja Venkatakrishnan

The security of blockchain systems depends on the distribution of mining power across participants. If sufficient mining power is controlled by one entity, they can force their own version of events. This may allow them to double spend…

Cryptography and Security · Computer Science 2024-03-21 Mary Milad , Christina Ovezik , Dimitris Karakostas , Daniel W. Woods

Proof-of-Work (PoW) consensus is traditionally analyzed under the assumption that all miners incur similar costs per unit of computational effort. In reality, costs vary due to factors such as regional electricity cost differences and…

Computer Science and Game Theory · Computer Science 2025-05-29 Yogev Bar-On , Ilan Komargodski , Omri Weinstein

This paper presents a comprehensive comparative analysis of two dominant blockchain consensus mechanisms, Proof of Work (PoW) and Proof of Stake (PoS), evaluated across seven critical metrics: energy use, security, transaction speed,…

Cryptography and Security · Computer Science 2025-11-24 Kaeli Andrews , Linh B. Ngo , Md Amiruzzaman
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