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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 analyze the economic incentives generated by the proof-of-stake mechanism discussed in the Ethereum Casper upgrade proposal. Compared with proof-of-work, proof-of-stake has a different cost structure for attackers. In Budish (2018),…

Cryptography and Security · Computer Science 2018-07-26 George Gui , Ali Hortacsu , Jose Tudon

The consensus protocol named proof of work (PoW) is widely applied by cryptocurrencies like Bitcoin. Although security of a PoW cryptocurrency is always the top priority, it is threatened by mining attacks like selfish mining. Researchers…

Cryptography and Security · Computer Science 2019-07-09 Hanqing Liu , Na Ruan , Joseph K. Liu

Throughput limitations of existing blockchain architectures are one of the most significant hurdles for their wide-spread adoption. Attempts to address this challenge include layer-2 solutions, such as Bitcoin's Lightning or Ethereum's…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-13 Alexander Hentschel , Dieter Shirley , Layne Lafrance

There is a growing interest in understanding the energy and environmental footprint of digital currencies, specifically in cryptocurrencies such as Bitcoin and Ethereum. These cryptocurrencies are operated by a geographically distributed…

Computers and Society · Computer Science 2022-10-24 Ashish Rajendra Sai , Harald Vranken

The enormous power consumption of Bitcoin has led to undifferentiated discussions in science and practice about the sustainability of blockchain and distributed ledger technology in general. However, blockchain technology is far from…

Cryptography and Security · Computer Science 2021-02-17 Johannes Sedlmeir , Hans Ulrich Buhl , Gilbert Fridgen , Robert Keller

Mining fairness in blockchain refers to equality between the computational resources invested in mining and the block rewards received. There exists a dilemma wherein increasing the transaction processing capacity of a blockchain…

Cryptography and Security · Computer Science 2025-09-10 Akira Sakurai , Kazuyuki Shudo

We lay the foundations for a blockchain scheme, whose consensus is reached via a proof of work algorithm based on the solution of consecutive discrete logarithm problems over the point group of elliptic curves. In the considered…

Cryptography and Security · Computer Science 2021-11-19 Alessio Meneghetti , Massimiliano Sala , Daniele Taufer

Blockchain as a promising technology is gaining its popularity ever since proof-of-work based Bitcoin came to the world. Nevertheless, Bitcoin achieves consensus at an expensive cost of energy. Proof-of-stake is one of the solutions for…

Cryptography and Security · Computer Science 2026-01-05 Joshua Shen

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

The advancement of smart grid technologies necessitates the integration of cutting-edge computational methods to enhance predictive energy optimization. This study proposes a multi-faceted approach by incorporating (1) Deep Reinforcement…

Blockchain technology has been gaining great interest from a variety of sectors, including healthcare, supply chain and cryptocurrencies. However, Blockchain suffers from its limited ability to scale (i.e. low throughput and high latency).…

Cryptography and Security · Computer Science 2021-08-13 Abdelatif Hafid , Abdelhakim Senhaji Hafid , Adil Senhaji

Permissioned blockchains like Hyperledger Fabric have become quite popular for implementation of enterprise applications. Recent research has mainly focused on improving performance of permissioned blockchains without any consideration of…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-24 Nathania Santoso , Haris Javaid

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

Recent trends of technology have explored a numerous applications of cloud services, which require a significant amount of energy. In the present scenario, most of the energy sources are limited and have a greenhouse effect on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-15 Sohan Kumar Pande , Sanjaya Kumar Panda , Preeti Ranjan Sahu

Proof-of-work computation used in cryptocurrencies has witnessed significant growth in the U.S. and many other regions around the world. One of the most significant bottlenecks for the scalable deployment of such computation is its energy…

Systems and Control · Electrical Eng. & Systems 2023-03-14 Ali Menati , Yuting Cai , Rayan El Helou , Chao Tian , Le Xie

A principal vulnerability of a proof-of-work ("PoW") blockchain is that an attacker can re-write the history of transactions by forking a previously published block and build a new chain segment containing a different sequence of…

Cryptography and Security · Computer Science 2023-09-27 Daniel Aronoff , Isaac Ardis

This paper presents a detailed analysis of the environmental impact of Chia Network (Chia for short), a green-claimed blockchain, which uses a Proof of Space and Time (PoST) consensus mechanism. While Chia claims to be a sustainable…

Computers and Society · Computer Science 2026-04-16 Soraya Djerrab , Clémentine Gritti , Rahima Benzenati

The blocks in the Bitcoin blockchain record the amount of work W that went into creating them through proofs of work. When honest parties control a majority of the work, consensus is achieved by picking the chain with the highest recorded…

Cryptography and Security · Computer Science 2025-08-05 Mirza Ahad Baig , Christoph U. Günther , Krzysztof Pietrzak

Cryptocurrency achieves distributed consensus using proof of work (PoW). Prior research in blockchain security identified financially incentivized attacks based on withholding blocks which have the attacker compromise a victim pool and pose…

Cryptography and Security · Computer Science 2020-09-01 Sang-Yoon Chang