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Related papers: Socially Optimal Mining Pools

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We analyze Bitcoin mining from the perspective of a game and propose an optimal mining model that maximizes profits of pools and miners. The model is a two-stage Stackelberg game in which each stage forms a sub-game. In stage I, pools are…

Computer Science and Game Theory · Computer Science 2021-07-22 David Lajeunesse , Hugo D. Scolnik

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 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

Mining is a central operation of all proof-of-work (PoW) based cryptocurrencies. The vast majority of miners today participate in "mining pools" instead of "solo mining" in order to lower risk and achieve a more steady income. However, this…

Computational Engineering, Finance, and Science · Computer Science 2022-12-15 Panagiotis Chatzigiannis , Foteini Baldimtsi , Igor Griva , Jiasun Li

In this paper we describe the various scoring systems used to calculate rewards of participants in Bitcoin pooled mining, explain the problems each were designed to solve and analyze their respective advantages and disadvantages.

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-22 Meni Rosenfeld

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

The rewards a blockchain miner earns vary with time. Most of the time is spent mining without receiving any rewards, and only occasionally the miner wins a block and earns a reward. Mining pools smoothen the stochastic flow of rewards, and…

Cryptography and Security · Computer Science 2023-09-06 Axel Cortes-Cubero , Juan P. Madrigal-Cianci , Kiran Karra , Zixuan Zhang

The arisen of Bitcoin has led to much enthusiasm for blockchain research and block mining, and the extensive existence of mining pools helps its participants (i.e., miners) gain reward more frequently. Recently, the mining pools are proved…

Computer Science and Game Theory · Computer Science 2020-08-18 Zhihuai Chen , Bo Li , Xiaohan Shan , Xiaoming Sun , Jialin Zhang

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

Bitcoin mining presents a significant economic incentive for efficient hashing and broadcast of data, both parameters stemming from the Proofs of Work used to advance the network. This incentive has led to the development of Bitcoin…

Cryptography and Security · Computer Science 2016-03-17 Jonathan Harvey-Buschel , Can Kisagun

The resource-consuming mining of blocks on a blockchain equipped with a proof of work consensus protocol bears the risk of ruin, namely when the operational costs for the mining exceed the received rewards. In this paper we investigate to…

Cryptography and Security · Computer Science 2021-09-08 Hansjoerg Albrecher , Dina Finger , Pierre-Olivier Goffard

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

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

Selfish miners selectively withhold blocks to earn disproportionately high revenue. The vast majority of the selfish mining literature focuses exclusively on block rewards. Carlsten et al. [2016] is a notable exception, observing that…

Computer Science and Game Theory · Computer Science 2025-08-11 Maryam Bahrani , Michael Neuder , S. Matthew Weinberg

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

The Bitcoin cryptocurrency records its transactions in a public log called the blockchain. Its security rests critically on the distributed protocol that maintains the blockchain, run by participants called miners. Conventional wisdom…

Cryptography and Security · Computer Science 2013-11-18 Ittay Eyal , Emin Gun Sirer

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

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

Mining pools, the main components of the Bitcoin network, dominate the computing resources and play essential roles in network security and performance aspects. Although many existing measurements of the Bitcoin network are available,…

Cryptography and Security · Computer Science 2019-02-22 Canhui Wang , Xiaowen Chu , Qin Yang

Bitcoin is a decentralized crypto-currency, and an accompanying protocol, created in 2008. Bitcoin nodes continuously generate and propagate blocks---collections of newly approved transactions that are added to Bitcoin's ledger. Block…

Cryptography and Security · Computer Science 2015-07-24 Ayelet Sapirshtein , Yonatan Sompolinsky , Aviv Zohar
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