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Bitcoin is firmly becoming a mainstream asset in our global society. Its highly volatile nature has traders and speculators flooding into the market to take advantage of its significant price swings in the hope of making money. This work…

Machine Learning · Computer Science 2021-10-29 Nathan Crone , Eoin Brophy , Tomas Ward

In most popular public accessible cryptocurrency systems, the mining pool plays a key role because mining cryptocurrency with the mining pool turns the non-profitable situation into profitable for individual miners. In many recent novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-16 Boyang Li , Qing Lu , Weiwen Jiang , Taeho Jung , Yiyu Shi

In this paper, we provide a new theoretical framework of pyramid Markov processes to solve some open and fundamental problems of blockchain selfish mining under a rigorous mathematical setting. We first describe a more general model of…

Cryptography and Security · Computer Science 2021-09-14 Quan-Lin Li , Yan-Xia Chang , Xiaole Wu , Guoqing Zhang

The core of many cryptocurrencies is the decentralised validation network operating on proof-of-work technology. In these systems, validation is done by so-called miners who can digitally sign blocks once they solve a computationally-hard…

Cryptography and Security · Computer Science 2023-05-04 Sheng-Nan Li , Carlo Campajola , Claudio J. Tessone

In recent years, cryptocurrencies have attracted growing attention from both private investors and institutions. Among them, Bitcoin stands out for its impressive volatility and widespread influence. This paper explores the predictability…

Statistical Finance · Quantitative Finance 2025-04-29 Grégory Bournassenko

Transaction fee plays an important role in determining the priority of transaction processing in public blockchain systems. Owing to the observability of unconfirmed transactions, a strategic user can postpone his transaction broadcasting…

Computer Science and Game Theory · Computer Science 2025-12-29 Qianlan Bai , Yuedong Xu , Zhijian Zhou , Xin Wang

Mining is the important part of the blockchain used the proof of work (PoW) on its consensus, looking for the matching block through testing a number of hash calculations. In order to attract more hash computing power, the miner who finds…

Cryptography and Security · Computer Science 2021-04-01 Muchuang Hu , Jiahui Chen , Wensheng Gan , Chien-Ming Chen

In Proof-of-Work blockchains, difficulty algorithms serve the crucial purpose of maintaining a stable transaction throughput by dynamically adjusting the block difficulty in response to the miners' constantly changing computational power.…

Cryptography and Security · Computer Science 2021-05-03 Dragos I. Ilie , Sam M. Werner , Iain Stewart , William J. Knottenbelt

This paper proposes a conceptual framework for the analysis of reward sharing schemes in mining pools, such as those associated with Bitcoin. The framework is centered around the reported shares in a pool instead of agents and results in…

Computer Science and Game Theory · Computer Science 2021-07-13 Burak Can , Jens Leth Hougaard , Mohsen Pourpouneh

Bitcoin transaction fees will become more important as the block subsidy declines, but fee formation is hard to study with blockchain data alone because the relevant queueing environment is unobserved. We develop and estimate a structural…

Computational Engineering, Finance, and Science · Computer Science 2026-04-21 Daniel Aronoff , Kristian Praizner , Armin Sabouri

Mining blocks in a blockchain using the \textit{Proof-of-Work} consensus protocol involves significant risk, as network participants face continuous operational costs while earning infrequent capital gains upon successfully mining a block.…

Cryptography and Security · Computer Science 2025-11-19 Pierre-Olivier Goffard , Hansjoerg Albrecher , Jean-Pierre Fouque

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

A blockchain, such as Bitcoin, is an append-only, secure, transparent, distributed ledger. A fair blockchain is expected to have healthy metrics; high honest mining power, low processing latency, i.e., low wait times for transactions and…

Cryptography and Security · Computer Science 2020-03-03 Shoeb Siddiqui , Ganesh Vanahalli , Sujit Gujar

In blockchain networks adopting the proof-of-work schemes, the monetary incentive is introduced by the Nakamoto consensus protocol to guide the behaviors of the full nodes (i.e., block miners) in the process of maintaining the consensus…

Computer Science and Game Theory · Computer Science 2018-01-01 Xiaojun Liu , Wenbo Wang , Dusit Niyato , Narisa Zhao , Ping Wang

Blockchain protocols incentivize participation through monetary rewards, assuming rational actors behave honestly to maximize their gains. However, attackers may attempt to harm others even at personal cost. These denial of profit attacks…

Computer Science and Game Theory · Computer Science 2025-06-02 Arian Baloochestani , Leander Jehl

A soft control of the network activity through varying reward in a proof-of-work (PoW) cryptocurrency is reported. Rewards are the necessity to incent the contributors activities (i.e., mining) in order to maintain the PoW network. Contrary…

Computers and Society · Computer Science 2014-09-30 Joe Lao

Bitcoin's security relies on its Proof-of-Work consensus, where miners solve puzzles to propose blocks. The puzzle's difficulty is set by the difficulty adjustment mechanism (DAM), based on the network's available mining power. Attacks that…

Cryptography and Security · Computer Science 2025-02-12 Roozbeh Sarenche , Svetla Nikova , Bart Preneel

Mining attacks allow adversaries to obtain a disproportionate share of the mining reward by deviating from the honest mining strategy in the Bitcoin system. Among them, the most well-known are selfish mining (SM), block withholding (BWH),…

Computer Science and Game Theory · Computer Science 2023-05-15 Junjie Hu , Chunxiang Xu , Zhe Jiang , Jiwu Cao

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

The Bitcoin protocol prescribes certain behavior by the miners who are responsible for maintaining and extending the underlying blockchain; in particular, miners who successfully solve a puzzle, and hence can extend the chain by a block,…

Computer Science and Game Theory · Computer Science 2019-06-12 Francisco J. Marmolejo-Cossío , Eric Brigham , Benjamin Sela , Jonathan Katz