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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

The pool-hopping attack casts down the expected profits of both the mining pool and honest miners in Blockchain. The mainstream countermeasures, namely PPS (pay-per-share) and PPLNS (pay-per-last-N-share), can hedge pool hopping, but pose a…

Computer Science and Game Theory · Computer Science 2019-12-30 Hongwei Shi , Shengling Wang , Qin Hu , Xiuzhen Cheng , Junshan Zhang , Jiguo Yu

We argue that the current POW based consensus algorithm of the Bitcoin network suffers from a fundamental economic discrepancy between the real world transaction (txn) costs incurred by miners and the wealth that is being transacted. Put…

Numerical Analysis · Mathematics 2024-04-24 Valdemar Melicher

Following the publication of Bitcoin's arguably most famous attack, selfish mining, various works have introduced mechanisms to enhance blockchain systems' game theoretic resilience. Some reward mechanisms, like FruitChains, have been shown…

Computer Science and Game Theory · Computer Science 2025-03-14 Lukas Aumayr , Zeta Avarikioti , Dimitris Karakostas , Karl Kreder , Shreekara Shastry

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

This paper opts to mitigate the energy-inefficiency of the Blockchain Proof-of-Work (PoW) consensus algorithm by rationally repurposing the power spent during the mining process. The original PoW mining scheme is designed to consider one…

Cryptography and Security · Computer Science 2020-07-09 Noureddine Lasla , Lina Alsahan , Mohamed Abdallah , Mohamed Younis

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

This paper introduces a game-theoretic model tailored for reward distribution on crowd-sourced computing platforms. It explores a repeated game framework where miners, as computation providers, decide their computation power contribution in…

Computer Science and Game Theory · Computer Science 2025-04-11 Shuhao Zheng , Ziyue Xin , Zonglun Li , Xue Liu

In this paper, we review the undercutting attacks in the transaction-fee-based regime of proof-of-work (PoW) blockchains with the longest chain fork-choice rule. Next, we focus on the problem of fluctuations in mining revenue and the mining…

Cryptography and Security · Computer Science 2023-02-13 Rastislav Budinský , Ivan Homoliak , Ivana Stančíková

Blockchain consensus mechanisms must balance security, decentralization, and efficiency while ensuring fair participation. Proof of Team Sprint (PoTS) is a cooperative consensus mechanism designed to address the energy inefficiencies and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-26 Naoki Yonezawa

The idea of security sharing goes back to Nakamoto's introduction of merge mining, a technique that enables Bitcoin miners to reuse their hash power to bootstrap and secure other Proof-of-Work (PoW) blockchains. However, with the rise of…

Cryptography and Security · Computer Science 2026-05-20 Xinshu Dong , Orfeas Stefanos Thyfronitis Litos , Ertem Nusret Tas , David Tse , Robin Linus Woll , Lei Yang , Mingchao Yu

Regardless of their variations, blockchains require a consensus mechanism to validate transactions, supervise added blocks, maintain network security, synchronize the network state, and distribute incentives. Proof-of-Work (PoW), one of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-25 Amirreza Sokhankhosh , Sara Rouhani

An open distributed system can be secured by requiring participants to present proof of work and rewarding them for participation. The Bitcoin digital currency introduced this mechanism, which is adopted by almost all contemporary digital…

Cryptography and Security · Computer Science 2014-12-01 Ittay Eyal

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

In cryptocurrencies, the block reward is meant to serve as the incentive mechanism for miners to commit resources to create blocks and in effect secure the system. Existing systems primarily divide the reward in proportion to expended…

Computer Science and Game Theory · Computer Science 2021-03-24 Lucianna Kiffer , Rajmohan Rajaraman

We model and analyze blockchain miners who seek to maximize the compound return of their mining businesses. The analysis of the optimal strategies finds a new equilibrium point among the miners and the mining pools, which predicts the…

Cryptography and Security · Computer Science 2020-12-07 Go Yamamoto , Aron Laszka , Fuhito Kojima

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 is a consensus algorithm where miners solve cryptographic puzzles to mine blocks and obtain a reward through some Block Reward Mechanism (BRM). PoW blockchain faces the problem of centralization due to the formation of mining…

Computer Science and Game Theory · Computer Science 2024-01-18 Varul Srivastava , Sujit Gujar

Does the proof-of-work protocol serve its intended purpose of supporting decentralized cryptocurrency mining? To address this question, we develop a game-theoretical model where miners first invest in hardware to improve the efficiency of…

Trading and Market Microstructure · Quantitative Finance 2021-06-21 Agostino Capponi , Sveinn Olafsson , Humoud Alsabah

Mining fairness in blockchain refers to equality between the computational resources invested in mining and the block rewards received. There exists a dilemma wherein increasing the transaction processing capacity of a blockchain…

Cryptography and Security · Computer Science 2025-09-10 Akira Sakurai , Kazuyuki Shudo