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Proof of Stake (PoS) is a burgeoning Sybil resistance mechanism that aims to have a digital asset ("token") serve as security collateral in crypto networks. However, PoS has so far eluded a comprehensive threat model that encompasses both…

General Finance · Quantitative Finance 2020-02-05 Tarun Chitra

This paper is concerned with the stability of shares in a cryptocurrency where the new coins are issued according to the Proof of Stake protocol. We identify large, medium and small investors under various rewarding schemes, and show that…

General Economics · Economics 2022-06-07 Wenpin Tang

Proof-of-stake blockchain protocols have emerged as a compelling paradigm for organizing distributed ledger systems. In proof-of-stake (PoS), a subset of stakeholders participate in validating a growing ledger of transactions. For the…

Computer Science and Game Theory · Computer Science 2024-07-12 Aggelos Kiayias , Elias Koutsoupias , Francisco Marmolejo-Cossio , Aikaterini-Panagiota Stouka

Proof-of-Stake (PoS) blockchain systems, especially those that allow stakeholders to organize themselves in ``stake-pools'', have emerged as a compelling paradigm for the deployment of large scale distributed ledgers. A stake-pool operates…

Computer Science and Game Theory · Computer Science 2021-11-17 Aggelos Kiayias , Elias Koutsoupias , Aikaterini-Panagiota Stouka

The idea of security sharing goes back to Nakamoto's introduction of merge mining, a technique that enables Bitcoin miners to reuse their hash power to bootstrap and secure other Proof-of-Work (PoW) blockchains. However, with the rise of…

Cryptography and Security · Computer Science 2026-05-20 Xinshu Dong , Orfeas Stefanos Thyfronitis Litos , Ertem Nusret Tas , David Tse , Robin Linus Woll , Lei Yang , Mingchao Yu

We introduce and study reward sharing schemes (RSS) that promote the fair formation of {\em stake pools}\ in collaborative projects that involve a large number of stakeholders such as the maintenance of a proof-of-stake (PoS) blockchain.…

Computer Science and Game Theory · Computer Science 2020-06-09 Lars Brünjes , Aggelos Kiayias , Elias Koutsoupias , Aikaterini-Panagiota Stouka

Proof-of-Stake (PoS) is a prominent Sybil control mechanism for blockchain-based systems. In "e-PoS: Making PoS Decentralized and Fair," Saad et al. (TPDS'21) introduced a new Proof-of-Stake protocol, e-PoS, to enhance PoS applications'…

Cryptography and Security · Computer Science 2025-04-25 Suhyeon Lee , Seungjoo Kim

Proof-of-stake (PoS) has emerged as a natural alternative to the resource-intensive Proof-of-Work (PoW) blockchain, as was recently seen with the Ethereum Merge. PoS-based blockchains require an initial stake distribution among the…

Computer Science and Game Theory · Computer Science 2024-04-16 Varul Srivastava , Sankarshan Damle , Sujit Gujar

The blockchain data structure maintained via the longest-chain rule---popularized by Bitcoin---is a powerful algorithmic tool for consensus algorithms. Such algorithms achieve consistency for blocks in the chain as a function of their depth…

Cryptography and Security · Computer Science 2019-11-25 Erica Blum , Aggelos Kiayias , Cristopher Moore , Saad Quader , Alexander Russell

Proof-of-stake (PoS) is a promising approach for designing efficient blockchains, where block proposers are randomly chosen with probability proportional to their stake. A primary concern with PoS systems is the "rich getting richer"…

Cryptography and Security · Computer Science 2018-10-17 Giulia Fanti , Leonid Kogan , Sewoong Oh , Kathleen Ruan , Pramod Viswanath , Gerui Wang

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

Blockchain protocols implement total-order broadcast in a permissionless setting, where processes can freely join and leave. In such a setting, to safeguard against Sybil attacks, correct processes rely on cryptographic proofs tied to a…

Cryptography and Security · Computer Science 2022-11-23 Sarah Azouvi , Christian Cachin , Duc V. Le , Marko Vukolic , Luca Zanolini

This paper presents a novel staking coopetition design aimed at incentivizing decentralization and continuous growth of economic security within a proof-of-stake system. Staking rewards follow a nonlinear mapping relative to stake size.…

Theoretical Economics · Economics 2025-05-19 Michael D. Norman , Simon Brown , Mallesh Pai , Laurence Smith

As of July 15, 2023, Ethererum, which is a Proof-of-Stake (PoS) blockchain [1] has around 410 Billion USD in total assets on chain (popularly referred to as total-value-locked, TVL) but has only 33 Billion USD worth of ETH staked in…

Cryptography and Security · Computer Science 2024-01-12 Soubhik Deb , Robert Raynor , Sreeram Kannan

Bitcoin uses blockchain technology and proof-of-work (PoW) mechanism where nodes spend computing resources and earn rewards in return for spending these resources. This incentive system has caused power to be significantly biased towards a…

Cryptography and Security · Computer Science 2019-09-04 Yujin Kwon , Jian Liu , Minjeong Kim , Dawn Song , Yongdae Kim

Bitcoin is the most secure blockchain in the world, supported by the immense hash power of its Proof-of-Work miners. Proof-of-Stake chains are energy-efficient, have fast finality but face several security issues: susceptibility to…

Cryptography and Security · Computer Science 2025-02-04 Ertem Nusret Tas , David Tse , Fangyu Gai , Sreeram Kannan , Mohammad Ali Maddah-Ali , Fisher Yu

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

The Proof of Efficient Liquidity (PoEL) protocol, designed for specialised Proof of Stake (PoS) consensus-based blockchains that incorporate intrinsic DeFi applications, aims to support sustainable liquidity bootstrapping and network…

General Finance · Quantitative Finance 2024-02-19 Arman Abgaryan , Utkarsh Sharma , Joshua Tobkin

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

As smart contract platforms autonomously manage billions of dollars of capital, quantifying the portfolio risk that investors engender in these systems is increasingly important. Recent work illustrates that Proof of Stake (PoS) is…

General Finance · Quantitative Finance 2020-06-22 Tarun Chitra , Alex Evans
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