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The Nakamoto longest chain protocol is remarkably simple and has been proven to provide security against any adversary with less than 50% of the total hashing power. Proof-of-stake (PoS) protocols are an energy efficient alternative;…

Cryptography and Security · Computer Science 2020-02-25 Vivek Bagaria , Amir Dembo , Sreeram Kannan , Sewoong Oh , David Tse , Pramod Viswanath , Xuechao Wang , Ofer Zeitouni

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

Mining is a central operation of all proof-of-work (PoW) based cryptocurrencies. The vast majority of miners today participate in "mining pools" instead of "solo mining" in order to lower risk and achieve a more steady income. However, this…

Computational Engineering, Finance, and Science · Computer Science 2022-12-15 Panagiotis Chatzigiannis , Foteini Baldimtsi , Igor Griva , Jiasun Li

The Bitcoin cryptocurrency records its transactions in a public log called the blockchain. Its security rests critically on the distributed protocol that maintains the blockchain, run by participants called miners. Conventional wisdom…

Cryptography and Security · Computer Science 2013-11-18 Ittay Eyal , Emin Gun Sirer

The current surge in supply chain finance has significantly alleviated the "capital challenges" faced by domestic related enterprises, enabling enterprises upstream and subsequent stages of the industrial chain to achieve effective…

Social and Information Networks · Computer Science 2025-11-11 Linwei Wu

We study security-latency bounds for Nakamoto consensus, i.e., how secure a block is after it becomes $k$-deep in the chain. We improve the state-of-the-art bounds by analyzing the race between adversarial and honest chains in three…

Cryptography and Security · Computer Science 2024-07-25 Mustafa Doger , Sennur Ulukus

This paper opts to mitigate the energy-inefficiency of the Blockchain Proof-of-Work (PoW) consensus algorithm by rationally repurposing the power spent during the mining process. The original PoW mining scheme is designed to consider one…

Cryptography and Security · Computer Science 2020-07-09 Noureddine Lasla , Lina Alsahan , Mohamed Abdallah , Mohamed Younis

Selfish miners selectively withhold blocks to earn disproportionately high revenue. The vast majority of the selfish mining literature focuses exclusively on block rewards. Carlsten et al. [2016] is a notable exception, observing that…

Computer Science and Game Theory · Computer Science 2025-08-11 Maryam Bahrani , Michael Neuder , S. Matthew Weinberg

Traditional security models for Nakamoto-style blockchains assume instantaneous synchronization among malicious nodes, which overestimate adversarial coordination capability. We revisit these existing models and propose two more realistic…

Cryptography and Security · Computer Science 2026-01-06 Junjie Hu

We study the following problem that is motivated by Blockchains where ``miners'' are serially given the monopoly for assembling transactions into the next block. Our model has a single good that is sold repeatedly every day where new demand…

Computer Science and Game Theory · Computer Science 2023-11-22 Noam Nisan

In 2015, Eyal proposed the first game-theoretical model for analyzing the equilibrium of blockchain pooling: when the blockchain pools are abstracted as a non-cooperative game, two pools can reach a Nash equilibrium with a closed-form…

Cryptography and Security · Computer Science 2020-05-06 Dongfang Zhao

Proof-of-Work (PoW) is the most widely adopted incentive model in current blockchain systems, which unfortunately is energy inefficient. Proof-of-Stake (PoS) is then proposed to tackle the energy issue. The rich-get-richer concern of PoS…

Cryptography and Security · Computer Science 2021-03-31 Yuming Huang , Jing Tang , Qianhao Cong , Andrew Lim , Jianliang Xu

The progress of deep learning (DL), especially the recent development of automatic design of networks, has brought unprecedented performance gains at heavy computational cost. On the other hand, blockchain systems routinely perform a huge…

Cryptography and Security · Computer Science 2020-07-31 Yixiao Lan , Yuan Liu , Boyang Li

"Pay-per-last-$N$-shares" (PPLNS) is one of the most common payout strategies used by mining pools in Proof-of-Work (PoW) cryptocurrencies. As with any payment scheme, it is imperative to study issues of incentive compatibility of miners…

Computer Science and Game Theory · Computer Science 2021-02-22 Philip Lazos , Francisco J. Marmolejo-Cossío , Xinyu Zhou , Jonathan Katz

This paper studies a fundamental problem regarding the security of blockchain PoW consensus on how the existence of multiple misbehaving miners influences the profitability of selfish mining. Each selfish miner (or attacker interchangeably)…

Cryptography and Security · Computer Science 2023-04-04 Qianlan Bai , Yuedong Xu , Nianyi Liu , Xin Wang

An important feature of Proof-of-Work (PoW) blockchains is full dynamic availability, allowing miners to go online and offline while requiring only 50% of the online miners to be honest. Existing Proof-of-stake (PoS), Proof-of-Space and…

Cryptography and Security · Computer Science 2021-02-22 Soubhik Deb , Sreeram Kannan , David Tse

Cooperation is a major factor in the evolution of human societies. The structure of human social networks, which affects the dynamics of cooperation and other interpersonal phenomena, have common structural signatures. One of these…

Social and Information Networks · Computer Science 2018-07-10 Babak Fotouhi , Naghmeh Momeni , Benjamin Allen , Martin A. Nowak

Blockchain systems, such as Ethereum, are increasingly adopting layer-2 scaling solutions to improve transaction throughput and reduce fees. One popular layer-2 approach is the Optimistic Rollup, which relies on a mechanism known as a…

Computer Science and Game Theory · Computer Science 2025-04-08 Suhyeon Lee

Governments and enterprises strongly rely on incentives to generate favorable outcomes from social and strategic interactions between individuals. The incentives are usually modeled by payoffs in evolutionary games, such as the prisoner's…

Physics and Society · Physics 2018-05-14 Kaj-Kolja Kleineberg , Dirk Helbing

Bitcoin-NG is an extensible blockchain protocol based on the same trust model as Bitcoin. It divides each epoch into one Key-Block and multiple Micro-Blocks, effectively improving transaction processing capacity. Bitcoin-NG adopts a special…

Cryptography and Security · Computer Science 2023-06-07 Junjie Hu , Zhe Jiang , Chunxiang Xu