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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

Extensive research on Nakamoto-style consensus protocols has shown that network delays degrade the security of these protocols. Established results indicate that, perhaps surprisingly, maximal security is achieved when the network is as…

Cryptography and Security · Computer Science 2024-04-16 Jannik Albrecht , Sebastien Andreina , Frederik Armknecht , Ghassan Karame , Giorgia Marson , Julian Willingmann

The selfish mining attack, arguably the most famous game-theoretic attack in blockchain, indicates that the Bitcoin protocol is not incentive-compatible. Most subsequent works mainly focus on strengthening the selfish mining strategy, thus…

Computer Science and Game Theory · Computer Science 2022-02-21 Mengqian Zhang , Yuhao Li , Jichen Li , Chaozhe Kong , Xiaotie Deng

Blockchains have recently gained popularity thanks to their ability to record "digital truth". They are designed to keep persistence, security, and avoid attacks which is useful for many applications. However, they are still problematic in…

Cryptography and Security · Computer Science 2019-01-14 David Amar , Lior Zilpa

Given the parallels between game theory and consensus, it makes sense to intelligently design blockchain or DAG protocols with an incentive-compatible-first mentality. To that end, we propose a new blockchain or DAG protocol enhancement…

Computer Science and Game Theory · Computer Science 2018-04-19 Drew Stone

Optimistic responsiveness -- the ability of a consensus protocol to operate at the speed of the network -- is widely used in consensus protocol design to optimize latency and throughput. However, blockchain applications incentivize…

Computer Science and Game Theory · Computer Science 2025-10-30 Kaya Alpturer , Kushal Babel , Aditya Saraf

Blockchain consensus is a state whereby each node in a network agrees on the current state of the blockchain. Existing protocols achieve consensus via a contest or voting procedure to select one node as a dictator to propose new blocks.…

Theoretical Economics · Economics 2022-06-22 Joshua S. Gans , Richard Holden

This paper integrates Austrian capital theory with repeated game theory to examine strategic miner behaviour under different institutional conditions in blockchain systems. It shows that when protocol rules are mutable, effective time…

General Economics · Economics 2025-06-27 Craig Steven Wright

Formal analyses of blockchain protocols have received much attention recently. Consistency results of Nakamoto's blockchain protocol are often expressed in a quantity $c$, which denotes the expected number of network delays before some…

Cryptography and Security · Computer Science 2020-03-16 Jun Zhao , Jing Tang , Li Zengxiang , Huaxiong Wang , Kwok-Yan Lam , Kaiping Xue

Blockchain is a technology that provides a distributed ledger that stores previous records while maintaining consistency and security. Bitcoin is the first and largest decentralized electronic cryptographic system that uses blockchain…

Cryptography and Security · Computer Science 2021-11-05 Befekadu G. Gebraselase , Bjarne E. Helvik , Yuming Jiang

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

We study the incentives behind double-spend attacks on Nakamoto-style Proof-of-Work cryptocurrencies. In these systems, miners are allowed to choose which transactions to reference with their block, and a common strategy for selecting…

Computer Science and Game Theory · Computer Science 2023-12-14 Yanni Georghiades , Rajesh Mishra , Karl Kreder , Sriram Vishwanath

Blockchain technology is a breakthrough in changing the ways of business and organization operations, in which the consensus problem is challenging with practical constraints, such as computational power and consensus standard. In this…

Computational Engineering, Finance, and Science · Computer Science 2023-09-19 Yuqi Xie , Changbing Tang , Feilong Lin , Guanrong Chen , Zhao Zhang , Zhonglong Zheng

As an emerging decentralized secure data management platform, blockchain has gained much popularity recently. To maintain a canonical state of blockchain data record, proof-of-work based consensus protocols provide the nodes, referred to as…

Computer Science and Game Theory · Computer Science 2020-03-30 Yutao Jiao , Ping Wang , Dusit Niyato , Kongrath Suankaewmanee

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

In this paper, we represent the problem of selecting miners within a blockchain-based system as a subset selection problem. We formulate the problem of minimising blockchain energy consumption as an optimisation problem with two conflicting…

Neural and Evolutionary Computing · Computer Science 2021-06-23 Akram Alofi , Mahmoud A. Bokhari , Robert Hendley , Rami Bahsoon

Blockchains rely on economic incentives to ensure secure and decentralised operation, making incentive compatibility a core design concern. However, protocols are rarely deployed in isolation. Applications interact with the underlying…

Computer Science and Game Theory · Computer Science 2026-04-08 Zeta Avarikioti , Georg Fuchsbauer , Pim Keer , Matteo Maffei , Fabian Regen

In this paper, we provide a novel dynamic decision method of blockchain selfish mining by applying the sensitivity-based optimization theory. Our aim is to find the optimal dynamic blockchain-pegged policy of the dishonest mining pool. To…

Cryptography and Security · Computer Science 2021-11-16 Jing-Yu Ma , Quan-Lin Li

Proof-of-Stake blockchains based on a longest-chain consensus protocol are an attractive energy-friendly alternative to the Proof-of-Work paradigm. However, formal barriers to "getting the incentives right" were recently discovered, driven…

Computer Science and Game Theory · Computer Science 2023-10-31 Matheus V. X. Ferreira , S. Matthew Weinberg

Understanding the strategic behavior of miners in a blockchain is of great importance for its proper operation. A common model for mining games considers an infinite time horizon, with players optimizing asymptotic average objectives.…

Computer Science and Game Theory · Computer Science 2021-07-21 Alejandro Jofré , Angel Pardo , David Salas , Victor Verdugo , José Verschae