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The security of most existing cryptocurrencies is based on a concept called Proof-of-Work, in which users must solve a computationally hard cryptopuzzle to authorize transactions (`one unit of computation, one vote'). This leads to enormous…

Computer Science and Game Theory · Computer Science 2018-09-19 Jonah Brown-Cohen , Arvind Narayanan , Christos-Alexandros Psomas , S. Matthew Weinberg

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

Over the past decade, the Bitcoin P2P network protocol has become a reference model for all modern cryptocurrencies. While nodes in this network are known, the connections among them are kept hidden, as it is commonly believed that this…

Cryptography and Security · Computer Science 2021-07-28 Federico Franzoni , Xavier Salleras , Vanesa Daza

In blockchain systems, especially cryptographic currencies such as Bitcoin, the double-spending and Byzantine-general-like problem are solved by reaching consensus protocols among all nodes. The state-of-the-art protocols include…

Cryptography and Security · Computer Science 2018-08-02 Jianwen Chen , Kai Duan , Rumin Zhang , Liaoyuan Zeng , Wenyi Wang

Blockchain-based consensus protocols present the opportunity to develop new protocols, due to their novel requirements of open participation and explicit incentivization of participants. To address the first requirement, it is necessary to…

Cryptography and Security · Computer Science 2018-08-09 Sarah Azouvi , Patrick McCorry , Sarah Meiklejohn

A family of leaderless, decentralized consensus protocols, called Snow consensus was introduced in a recent whitepaper by Yin et al. These protocols address limitations of existing consensus methods, such as those using proof-of-work or…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-08 Ignacio Amores-Sesar , Christian Cachin , Philipp Schneider

An open distributed system can be secured by requiring participants to present proof of work and rewarding them for participation. The Bitcoin digital currency introduced this mechanism, which is adopted by almost all contemporary digital…

Cryptography and Security · Computer Science 2014-12-01 Ittay Eyal

Modern distributed systems rely on consensus protocols to build a fault-tolerant-core upon which they can build applications. Consensus protocols are correct under a specific failure model, where up to $f$ machines can fail. We argue that…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-13 Reginald Frank , Soujanya Ponnapalli , Octavio Lomeli , Neil Giridharan , Marcos K Aguilera , Natacha Crooks

Blockchains rely on a consensus among participants to achieve decentralization and security. However, reaching consensus in an online, digital world where identities are not tied to physical users is a challenging problem. Proof-of-work…

Cryptography and Security · Computer Science 2020-11-16 Hjalmar Turesson , Henry M. Kim , Marek Laskowski , Alexandra Roatis

We improve the fundamental security threshold of eventual consensus Proof-of-Stake (PoS) blockchain protocols under the longest-chain rule by showing, for the first time, the positive effect of rounds with concurrent honest leaders. Current…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-30 Aggelos Kiayias , Saad Quader , Alexander Russell

Bitcoin uses blockchain technology to maintain transactions order and provides probabilistic guarantee to prevent double-spending, assuming that an attacker's computational power does not exceed %50 of the network power. In this paper, we…

Cryptography and Security · Computer Science 2024-11-19 Ghader Ebrahimpour , Mohammad Sayad Haghighi

This paper develops a formal game-theoretic model to examine how protocol mutability disrupts cooperative mining behaviour in blockchain systems. Using a repeated game framework with stochastic rule shocks, we show that even minor…

General Economics · Economics 2025-06-27 Craig Steven Wright

Bitcoin constructs temporal order internally rather than synchronizing to any external clock. Empirical evidence shows that its time evolution is non-continuous, probabilistic, and self-regulated. Block discovery follows a stochastic…

Cryptography and Security · Computer Science 2025-11-20 Bin Chen

Bitcoin is a popular alternative to fiat money, widely used for its perceived anonymity properties. However, recent attacks on Bitcoin's peer-to-peer (P2P) network demonstrated that its gossip-based flooding protocols, which are used to…

Cryptography and Security · Computer Science 2017-03-28 Giulia Fanti , Pramod Viswanath

The long-term success of cryptocurrencies largely depends on the incentive compatibility provided to the validators. Bribery attacks, facilitated trustlessly via smart contracts, threaten this foundation. This work introduces, implements,…

Cryptography and Security · Computer Science 2026-01-14 Bence Soóki-Tóth , István András Seres , Kamilla Kara , Ábel Nagy , Balázs Pejó , Gergely Biczók

Bitcoin is the first and undoubtedly most successful cryptocurrecny to date with a market capitalization of more than 100 billion dollars. Today, Bitcoin has more than 100,000 supporting merchants and more than 3 million active users.…

Cryptography and Security · Computer Science 2019-11-19 Emmanouil Karampinakis , Michalis Pachilakis , Panagiotis Papadopoulos , Antonis Krithinakis , Evangelos P. Markatos

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

Bitcoin demonstrated the possibility of a financial ledger that operates without the need for a trusted central authority. However, concerns persist regarding its security and considerable energy consumption. We assess the consensus…

Computer Science and Game Theory · Computer Science 2025-03-04 Jacob D. Leshno , Elaine Shi , Rafael Pass

An emerging blockchain protocol design pattern leverages the asymmetry between the computational effort in performing versus verifying tasks. For example, cryptographic validity proofs (e.g., SNARKS) require the prover to expend significant…

Computer Science and Game Theory · Computer Science 2026-05-08 Maryam Bahrani , Michael Neuder , S. Matthew Weinberg

This work proposes a novel proof-of-work blockchain incentive scheme such that, barring exogenous motivations, following the protocol is guaranteed to be the optimal strategy for miners. Our blockchain takes the form of a directed acyclic…

Cryptography and Security · Computer Science 2022-06-22 Jakub Sliwinski , Roger Wattenhofer