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Related papers: HaPPY-Mine: Designing a Mining Reward Function

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We study efficiency in a proof-of-work blockchain with non-zero latencies, focusing in particular on the (inequality in) individual miners' efficiencies. Prior work attributed differences in miners' efficiencies mostly to attacks, but we…

Cryptography and Security · Computer Science 2021-06-08 Mohamed Alzayat , Johnnatan Messias , Balakrishnan Chandrasekaran , Krishna P. Gummadi , Patrick Loiseau

We present an analysis of the Proof-of-Work consensus algorithm, used on the Bitcoin blockchain, using a Mean Field Game framework. Using a master equation, we provide an equilibrium characterization of the total computational power devoted…

Theoretical Economics · Economics 2020-04-21 Charles Bertucci , Louis Bertucci , Jean-Michel Lasry , Pierre-Louis Lions

Blockchain is rapidly emerging as an important class of network application, with a unique set of trust, security and transparency properties. In a blockchain system, participants record and update the `server-side' state of an application…

Networking and Internet Architecture · Computer Science 2022-05-24 Yifan Mao , Shaileshh Bojja Venkatakrishnan

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

In a Proof-of-Work blockchain such as Bitcoin mining hashrate is increasing in the block reward. An increase in hashrate reduces network vulnerability to attack (a reduction in security cost) while increasing carbon emissions and…

Cryptography and Security · Computer Science 2025-08-25 Daniel Aronoff

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

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

Due to its minimal energy requirement the PoS consensus protocol has become an attractive alternative to PoW in modern cryptocurrencies. In this protocol the chance of being selected as a block proposer in each round is proportional to the…

Information Theory · Computer Science 2022-07-26 Zahra Naderi , Seyed Pooya Shariatpanahi , Behnam Bahrak

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

The value of proof-of-work cryptocurrencies critically depends on miners having incentives to follow the protocol. However, the Bitcoin mining protocol proposed by Nakamoto (2008) and implemented in practice is well known not to constitute…

Cryptography and Security · Computer Science 2026-04-08 Manuel Mueller-Frank , Minghao Pan , Omer Tamuz

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

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

Committee-based blockchains are among the most popular alternatives of proof-of-work based blockchains, such as Bitcoin. They provide strong consistency (no fork) under classical assumptions, and avoid using energy-consuming mechanisms to…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-23 Yackolley Amoussou-Guenou , Antonella del Pozzo , Maria Potop-Butucaru , Sara Tucci-Piergiovanni

It is an important decision-making problem for a miner in the blockchain networks if he/she participates in the mining so that he/she earns a reward by creating a new block earlier than other miners. We formulate this decision-making…

Computer Science and Game Theory · Computer Science 2020-12-15 Kosuke Toda , Naomi Kuze , Toshimitsu Ushio

Bitcoin and Ethereum are the top two blockchain-based cryptocurrencies whether from cryptocurrency market cap or popularity. However, they are vulnerable to selfish mining and stubborn mining due to that both of them adopt Proof-of-Work…

Cryptography and Security · Computer Science 2021-12-07 Runkai Yang , Xiaolin Chang , Jelena Mišić , Vojislav B. Mišić

Seminal work of Eyal and Sirer (2014) establishes that a strategic Bitcoin miner may strictly profit by deviating from the intended Bitcoin protocol, using a strategy now termed *selfish mining*. More specifically, any miner with $>1/3$ of…

Computer Science and Game Theory · Computer Science 2024-02-06 Maryam Bahrani , S. Matthew Weinberg

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

We analyze bribing attacks in Proof-of-Stake distributed ledgers from a game theoretic perspective. In bribing attacks, an adversary offers participants a reward in exchange for instructing them how to behave, with the goal of attacking the…

Computer Science and Game Theory · Computer Science 2024-06-21 Dimitris Karakostas , Aggelos Kiayias , Thomas Zacharias

Proof-of-Work (PoW) is the most widely adopted incentive model in current blockchain systems, which unfortunately is energy inefficient. Proof-of-Stake (PoS) is then proposed to tackle the energy issue. The rich-get-richer concern of PoS…

Cryptography and Security · Computer Science 2021-03-31 Yuming Huang , Jing Tang , Qianhao Cong , Andrew Lim , Jianliang Xu

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