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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

Proof-of-work (PoW) cryptocurrencies rely on a balance of security and fairness in order to maintain a sustainable ecosystem of miners and users. Users demand fast and consistent transaction confirmation, and in exchange drive the adoption…

Cryptography and Security · Computer Science 2023-06-22 Patrik Keller , Ben Glickenhaus , George Bissias , Gregory Griffith

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

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

We propose DIPS Difficulty-based Incentives for Problem Solving), a simple modification of the Bitcoin proof-of-work algorithm that rewards blockchain miners for solving optimization problems of scientific interest. The result is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-03 Pericles Philippopoulos , Alessandro Ricottone , Carlos G. Oliver

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

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

Cryptocurrencies that are based on Proof-of-Work (PoW) often rely on special purpose hardware to perform so-called mining operations that secure the system, with miners receiving freshly minted tokens as a reward for their work. A notable…

Cryptography and Security · Computer Science 2023-10-20 Aviv Yaish , Aviv Zohar

Modern systems, such as digital platforms and service systems, increasingly rely on contextual bandits for online decision-making; however, their deployment can inadvertently create unfair exposure among arms, undermining long-term platform…

Machine Learning · Statistics 2026-02-05 Qingwen Zhang , Wenjia Wang

Conventional double-spending attack models ignore the revenue losses stemming from the orphan blocks. On the other hand, selfish mining literature usually ignores the chance of the attacker to double-spend at no-cost in each attack cycle.…

Cryptography and Security · Computer Science 2026-03-23 Mustafa Doger , Sennur Ulukus

The emerging cryptocurrency market has lately received great attention for asset allocation due to its decentralization uniqueness. However, its volatility and brand new trading mode have made it challenging to devising an acceptable…

Machine Learning · Computer Science 2021-10-19 Fengrui Liu , Yang Li , Baitong Li , Jiaxin Li , Huiyang Xie

An attacker who breaks into an authentication server and steals all of the cryptographic password hashes is able to mount an offline-brute force attack against each user's password. Offline brute-force attacks against passwords are…

Cryptography and Security · Computer Science 2021-02-02 Wenjie Bai , Jeremiah Blocki

Proof-of-Work mining is intended to provide blockchains with robustness against double-spend attacks. However, an economic analysis that follows from Budish (2018), which considers free entry conditions together with the ability to rent…

Cryptography and Security · Computer Science 2020-02-26 Daniel J. Moroz , Daniel J. Aronoff , Neha Narula , David C. Parkes

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

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

We study the computation contests where players compete for searching a solution to a given problem with a winner-take-all reward. The search processes are independent across the players and the search speeds of players are proportional to…

Computer Science and Game Theory · Computer Science 2019-02-26 Yulong Zeng , Song Zuo

We present and validate a novel mathematical model of the blockchain mining process and use it to conduct an economic evaluation of the double-spend attack, which is fundamental to all blockchain systems. Our analysis focuses on the value…

Cryptography and Security · Computer Science 2016-11-22 George Bissias , Brian Neil Levine , A. Pinar Ozisik , Gavin Andresen

Miners play a key role in cryptocurrencies such as Bitcoin: they invest substantial computational resources in processing transactions and minting new currency units. It is well known that an attacker controlling more than half of the…

Cryptography and Security · Computer Science 2019-05-16 Matteo Romiti , Aljosha Judmayer , Alexei Zamyatin , Bernhard Haslhofer

Mining for Bitcoins is a high-risk high-reward activity. Miners, seeking to reduce their variance and earn steadier rewards, collaborate in pooling strategies where they jointly mine for Bitcoins. Whenever some pool participant is…

Computer Science and Game Theory · Computer Science 2017-03-14 Ben A. Fisch , Rafael Pass , Abhi Shelat

The mining of bitcoin is modeled using system dynamics, showing that the past evolution of the network hash rate can be explained to a large extent by an efficient market hypothesis applied to the mining of blocks. The possibility of a…

Cryptography and Security · Computer Science 2020-04-21 Davide Lasi , Lukas Saul