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Proof-of-Stake consensus protocols give rise to complex modeling challenges. We analyze the recently-updated Tezos Proof-of-Stake protocol and demonstrate that, under certain conditions, rational participants are incentivized to behave…

Cryptography and Security · Computer Science 2020-04-09 Michael Neuder , Daniel J. Moroz , Rithvik Rao , David C. Parkes

Proof-of-Work (PoW) is a fundamental method in decentralized digital networks for establishing consensus on a shared ledger. By requiring network participants to solve a mathematical puzzle, PoW maintains network integrity. However, PoW has…

Cryptography and Security · Computer Science 2026-05-12 Chong Guan

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

The security of blockchain systems is fundamentally based on the decentralized consensus in which the majority of parties behave honestly, and the content verification process is essential to maintaining the robustness of blockchain…

Cryptography and Security · Computer Science 2025-08-21 Zishuo Zhao , Xi Chen , Yuan Zhou

Many large decentralized systems rely on information propagation to ensure their proper function. We examine a common scenario in which only participants that are aware of the information can compete for some reward, and thus informed…

Computer Science and Game Theory · Computer Science 2016-06-10 Moshe Babaioff , Shahar Dobzinski , Sigal Oren , Aviv Zohar

Popular distributed ledger technology (DLT) systems using proof-of-work (PoW) for Sybil attack resistance have extreme energy requirements, drawing stern criticism from academia, businesses, and the media. DLT systems building on…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-05 Moritz Platt , Johannes Sedlmeir , Daniel Platt , Paolo Tasca , Jiahua Xu , Nikhil Vadgama , Juan Ignacio Ibañez

Proof of Stake (PoS) protocols rely on voting mechanisms to reach consensus on the current state. If an enhanced majority of staking nodes, also called validators, agree on a proposed block, then this block is appended to the blockchain.…

Computer Science and Game Theory · Computer Science 2021-07-20 Stefanos Leonardos , Daniel Reijsbergen , Georgios Piliouras

In this paper we revisit some major orthodoxies which lie at the heart of the bitcoin crypto currency and its numerous clones. In particular we look at The Longest Chain Rule, the monetary supply policies and the exact mechanisms which…

Cryptography and Security · Computer Science 2014-12-11 Nicolas T. Courtois

The paper examines decentralized cryptocurrency protocols that are based on the use of internal tokens as identity tools. An analysis of security problems with popular Proof-of-stake consensus protocols is provided. A new protocol,…

Cryptography and Security · Computer Science 2016-01-12 Alexander Chepurnoy

The introduction of Bitcoin fueled the development of blockchain-based resilient data management systems that are resilient against failures, enable federated data management, and can support data provenance. The key factor determining the…

Databases · Computer Science 2022-04-08 Jelle Hellings , Suyash Gupta , Sajjad Rahnama , Mohammad Sadoghi

Blockchain consensus mechanisms must balance security, decentralization, and efficiency while ensuring fair participation. Proof of Team Sprint (PoTS) is a cooperative consensus mechanism designed to address the energy inefficiencies and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-26 Naoki Yonezawa

Recently, two attacks were presented against Proof-of-Stake (PoS) Ethereum: one where short-range reorganizations of the underlying consensus chain are used to increase individual validators' profits and delay consensus decisions, and one…

Cryptography and Security · Computer Science 2021-10-20 Caspar Schwarz-Schilling , Joachim Neu , Barnabé Monnot , Aditya Asgaonkar , Ertem Nusret Tas , David Tse

Proof-of-work blockchains must implement a difficulty adjustment algorithm (DAA) in order to maintain a consistent inter-arrival time between blocks. Conventional DAAs are essentially feedback controllers, and as such, they are inherently…

Cryptography and Security · Computer Science 2019-08-06 George Bissias , David Thibodeau , Brian N. Levine

A proof of the security of the Bitcoin protocol is made rigorous, and simplified in certain parts. A computational model in which an adversary can delay transmission of blocks by time $\Delta$ is considered. The protocol is generalized to…

Cryptography and Security · Computer Science 2026-04-17 Christopher Blake , Chen Feng , Xuechao Wang , Qianyu Yu

Proof-of-work (PoW) cryptocurrency blockchains like Bitcoin secure vast amounts of money. Their operators, called miners, expend resources to generate blocks and receive monetary rewards for their effort. Blockchains are, in principle,…

Cryptography and Security · Computer Science 2020-11-06 Michael Mirkin , Yan Ji , Jonathan Pang , Ariah Klages-Mundt , Ittay Eyal , Ari Juels

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

Proof of work blockchain protocols using multiple hash types are considered. It is proven that the security region of such a protocol cannot be the AND of a 51\% attack on all the hash types. Nevertheless, a protocol called Merged Bitcoin…

Cryptography and Security · Computer Science 2026-01-15 Christopher Blake , Chen Feng , Xuachao Wang , Qianyu Yu

Blockchain, the technology behind the popular Bitcoin, is considered a "security by design" system as it is meant to create security among a group of distrustful parties yet without a central trusted authority. The security of blockchain…

Cryptography and Security · Computer Science 2020-09-02 Yang Xiao , Ning Zhang , Wenjing Lou , Y. Thomas Hou

In 2008, Satoshi Nakamoto proposed an electronic cash system (bitcoin) that is completely realized by peer-to-peer technology. The core value of this scheme is that it proposes a solution based on Proof-of Work, so that the cash system can…

Cryptography and Security · Computer Science 2018-11-19 Zhiniang Peng , Yuki Chen

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
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