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We study a game-theoretic model of blockchain mining economies and show that griefing, a practice according to which participants harm other participants at some lesser cost to themselves, is a prevalent threat at its Nash equilibria. The…

Computer Science and Game Theory · Computer Science 2021-06-24 Yun Kuen Cheung , Stefanos Leonardos , Georgios Piliouras , Shyam Sridhar

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

A decentralized blockchain is a distributed ledger that is often used as a platform for exchanging goods and services. This ledger is maintained by a network of nodes that obeys a set of rules, called a consensus protocol, which helps to…

Optimization and Control · Mathematics 2022-01-03 Lucy Klinger , Lei Zhang , Zhennan Zhou

With the development of decentralized consensus protocols, permissionless blockchains have been envisioned as a promising enabler for the general-purpose transaction-driven, autonomous systems. However, most of the prevalent blockchain…

Computer Science and Game Theory · Computer Science 2018-11-19 Zhengwei Ni , Wenbo Wang , Dong In Kim , Ping Wang , Dusit Niyato

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

Blockchain stores information into a chain of "blocks", whose integrity is usually guaranteed by Proof of Work (PoW). In many blockchain applications (including cryptocurrencies), users compete with each other to win the ownership of the…

Cryptography and Security · Computer Science 2018-10-09 Wei Li

Although Bitcoin was intended to be a decentralized digital currency, in practice, mining power is quite concentrated. This fact is a persistent source of concern for the Bitcoin community. We provide an explanation using a simple model to…

Cryptography and Security · Computer Science 2018-11-22 Nick Arnosti , S. Matthew Weinberg

Mining in proof-of-work blockchains has become an expensive affair requiring specialized hardware capable of executing several megahashes per second at huge electricity costs. Miners earn a reward each time they mine a block within the…

Networking and Internet Architecture · Computer Science 2023-08-30 Arti Vedula , Abhishek Gupta , Shaileshh Bojja Venkatakrishnan

The continuing expansion of the blockchain ecosystems has attracted much attention from the research community. However, although a large number of research studies have been proposed to understand the diverse characteristics of individual…

Cryptography and Security · Computer Science 2021-10-15 Ningyu He , Weihang Su , Zhou Yu , Xinyu Liu , Fengyi Zhao , Haoyu Wang , Xiapu Luo , Gareth Tyson , Lei Wu , Yao Guo

Blockchain systems often employ proof-of-work consensus protocols to validate and add transactions into hashchains. These protocols stimulate competition among miners in solving cryptopuzzles (e.g. SHA-256 hash computation in Bitcoin) in…

Computer Science and Game Theory · Computer Science 2020-05-13 Venkata Sriram Siddhardh Nadendla , Lav R. Varshney

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

Due to the increasing interest in blockchain technology for fostering secure, auditable, decentralized applications, a set of challenges associated with this technology need to be addressed. In this letter, we focus on the delay associated…

Networking and Internet Architecture · Computer Science 2022-02-04 Francesc Wilhelmi , Sergio Barrachina-Muñoz , Paolo Dini

Determining the optimal block size is crucial for achieving high throughput in blockchain systems. Many studies have focused on tuning various components, such as databases, network bandwidth, and consensus mechanisms. However, the impact…

Cryptography and Security · Computer Science 2025-09-04 Narges Dadkhah , Somayeh Mohammadi , Gerhard Wunder

Mining processes of Bitcoin and similar cryptocurrencies are currently incentivized with voluntary transaction fees and fixed block rewards which will halve gradually to zero. In the setting where optional and arbitrary transaction fee…

Cryptography and Security · Computer Science 2022-07-14 Tiantian Gong , Mohsen Minaei , Wenhai Sun , Aniket Kate

To participate in the distributed consensus of permissionless blockchains, prospective nodes -- or miners -- provide proof of designated, costly resources. However, in contrast to the intended decentralization, current data on blockchain…

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

We present a novel framework for analyzing blockchain consensus mechanisms by modeling blockchain growth as a Partially Observable Stochastic Game (POSG) which we reduce to a set of Partially Observable Markov Decision Processes (POMDPs)…

Computer Science and Game Theory · Computer Science 2026-01-12 Yanni Georghiades , Takashi Tanaka , Sriram Vishwanath

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

It is an important decision-making problem for a miner in the blockchain networks if he/she participates in the mining so that he/she earns a reward by creating a new block earlier than other miners. We formulate this decision-making…

Computer Science and Game Theory · Computer Science 2020-12-15 Kosuke Toda , Naomi Kuze , Toshimitsu Ushio

Mining for Bitcoins is a high-risk high-reward activity. Miners, seeking to reduce their variance and earn steadier rewards, collaborate in pooling strategies where they jointly mine for Bitcoins. Whenever some pool participant is…

Computer Science and Game Theory · Computer Science 2017-03-14 Ben A. Fisch , Rafael Pass , Abhi Shelat

Proof-of-Work (PoW) systems face critical challenges, including excessive energy consumption and the centralization of mining power among entities with expensive hardware. Static mining pools exacerbate these issues by reducing competition…

Cryptography and Security · Computer Science 2025-04-25 Rizwanul Haque , SM Tareq Aziz , Tahrim Hossain , Faisal Haque Bappy , Muhammad Nur Yanhaona , Tariqul Islam