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In this paper, we review the undercutting attacks in the transaction-fee-based regime of proof-of-work (PoW) blockchains with the longest chain fork-choice rule. Next, we focus on the problem of fluctuations in mining revenue and the mining…

Cryptography and Security · Computer Science 2023-02-13 Rastislav Budinský , Ivan Homoliak , Ivana Stančíková

While cryptocurrencies and blockchain applications continue to gain popularity, their energy cost is evidently becoming unsustainable. In most instances, the main cost comes from the required amount of energy for the Proof-of-Work, and this…

Cryptography and Security · Computer Science 2019-08-20 Philippe Jacquet , Bernard Mans

Tendermint-core blockchains (e.g. Cosmos) are considered today one of the most viable alternatives for the highly energy consuming proof-of-work blockchains such as Bitcoin and Ethereum. Their particularity is that they aim at offering…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-14 Yackolley Amoussou-Guenou , Antonella Del Pozzo , Maria Potop-Butucaru , Sara Tucci-Piergiovanni

Proof-of-Work (PoW) is a popular consensus protocol used by Bitcoin since its inception. PoW has the well-known flaw of assigning all the reward to the single miner (or pool) that inserts the new block. This has the consequence of making…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-13 Danilo Bazzanella , Andrea Gangemi

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

Proof of work cryptocurrencies began with the promise of a more egalitarian future with a decentralized monetary system with no powerful entities in charge. While this vision is far from realized, these cryptocurrencies are still touted to…

Cryptography and Security · Computer Science 2022-03-31 Sishan Long , Soumya Basu , Emin Gün Sirer

Proof-of-Stake systems randomly choose, on each round, one of the participants as a consensus leader that extends the chain with the next block such that the selection probability is proportional to the owned stake. However, distributed…

Cryptography and Security · Computer Science 2020-05-20 Mansoor Ahmed-Rengers , Kari Kostiainen

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

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

Current blockchain protocols (e.g., Proof-of-Work and Proof-of-Stake) secure the ledger yet cannot measure validator trustworthiness, allowing subtle misconduct that is especially damaging in decentralized-finance (DeFi) settings. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-30 Ailiya Borjigin , Wei Zhou , Cong He

Liquid staking has become the largest category of decentralized finance protocols in terms of total value locked. However, few studies exist on its implementation designs or underlying risks. The liquid staking protocols allow for earning…

Cryptography and Security · Computer Science 2024-01-30 Krzysztof Gogol , Benjamin Kraner , Malte Schlosser , Tao Yan , Claudio Tessone , Burkhard Stiller

This paper presents a comprehensive comparative analysis of two dominant blockchain consensus mechanisms, Proof of Work (PoW) and Proof of Stake (PoS), evaluated across seven critical metrics: energy use, security, transaction speed,…

Cryptography and Security · Computer Science 2025-11-24 Kaeli Andrews , Linh B. Ngo , Md Amiruzzaman

Blockchains have witnessed widespread adoption in the past decade in various fields. The growing demand makes their scalability and sustainability challenges more evident than ever. As a result, more and more blockchains have begun to adopt…

Computer Science and Game Theory · Computer Science 2021-07-12 Shashank Motepalli , Hans-Arno Jacobsen

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

Selfish Mining is strategic rule-breaking to maximize rewards in proof-of-work protocols [3] and Markov Decision Processes (MDPs) are the preferred tool for finding optimal strategies in Bitcoin [4, 10] and similar linear chain protocols…

Cryptography and Security · Computer Science 2024-05-01 Patrik Keller

Proof-of-work allows Bitcoin to boast security amidst arbitrary fluctuations in participation of miners throughout time, so long as, at any point in time, a majority of hash power is honest. In recent years, however, the pendulum has…

Cryptography and Security · Computer Science 2025-08-12 Yuval Efron , Joachim Neu , Toniann Pitassi

Proof of Work (PoW) has extensively served as the foundation of blockchain's security, consistency, and tamper-resistance. However, long has it been criticized for its tremendous and inefficient utilization of computational power and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-04 Weihang Cao , Xintong Ling , Jiaheng Wang , Xiqi Gao , Zhi Ding

Proof-of-Work (PoW) is a fundamental underlying technology behind most major blockchain cryptocurrencies. It has been previously pointed out that quantum devices provide a computational advantage in performing PoW in the context of Bitcoin.…

Quantum Physics · Physics 2021-05-06 Dan A. Bard , Joseph J. Kearney , Carlos A. Perez-Delgado

Regardless of their variations, blockchains require a consensus mechanism to validate transactions, supervise added blocks, maintain network security, synchronize the network state, and distribute incentives. Proof-of-Work (PoW), one of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-25 Amirreza Sokhankhosh , Sara Rouhani

In this paper we revisit the mining strategies in proof of work based cryptocurrencies and propose two strategies, we call smart and smarter mining, that in many cases strictly dominate honest mining. In contrast to other known attacks,…

Cryptography and Security · Computer Science 2019-02-13 Guy Goren , Alexander Spiegelman