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A blockchain faces two fundamental challenges. It must motivate users to maintain the system while preventing a minority of these users from colluding and gaining disproportionate control. Many popular public blockchains use monetary…

Cryptography and Security · Computer Science 2021-10-15 Shea Ketsdever , Michael J. Fischer

We present an analysis of the Proof-of-Work consensus algorithm, used on the Bitcoin blockchain, using a Mean Field Game framework. Using a master equation, we provide an equilibrium characterization of the total computational power devoted…

Theoretical Economics · Economics 2020-04-21 Charles Bertucci , Louis Bertucci , Jean-Michel Lasry , Pierre-Louis Lions

Blockchains are widely used for secure transaction processing, but their scalability remains limited, and existing multichain designs are typically static even as demand and capacity shift. We cast blockchain configuration as a multiagent…

Cryptography and Security · Computer Science 2026-02-27 Nimrod Talmon , Haim Zysberg

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

Blockchains rely on economic incentives to ensure secure and decentralised operation, making incentive compatibility a core design concern. However, protocols are rarely deployed in isolation. Applications interact with the underlying…

Computer Science and Game Theory · Computer Science 2026-04-08 Zeta Avarikioti , Georg Fuchsbauer , Pim Keer , Matteo Maffei , Fabian Regen

Proof-of-Work (PoW) is a popular consensus protocol used by Bitcoin since its inception. PoW has the well-known flaw of assigning all the reward to the single miner (or pool) that inserts the new block. This has the consequence of making…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-13 Danilo Bazzanella , Andrea Gangemi

Cloud auctions provide cost-effective strategies for cloud VM allocation. Most existing cloud auctions simply assume that the auctioneer is trustable, and thus the fairness of auctions can be easily achieved. However, in fact, such a…

Cryptography and Security · Computer Science 2020-01-06 Zhili Chen , Wei Ding , Yan Xu , Miaomiao Tian , Hong Zhong

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

Blockchain-based cryptocurrencies secure a decentralized consensus protocol by incentives. The protocol participants, called miners, generate (mine) a series of blocks, each containing monetary transactions created by system users. As…

Cryptography and Security · Computer Science 2018-11-14 Itay Tsabary , Ittay Eyal

It has been known for some time that the Nakamoto consensus as implemented in the Bitcoin protocol is not totally aligned with the individual interests of the participants. More precisely, it has been shown that block withholding mining…

Cryptography and Security · Computer Science 2025-02-07 Cyril Grunspan , Ricardo Perez-Marco

Blockchains have popularized the Automated Market Makers (AMMs), where users trade crypto-assets directly with a smart contract, governed by a pricing function embedded in the contract's code. Today, users of AMMs are often forced to accept…

Computer Science and Game Theory · Computer Science 2026-05-28 Yuhao Li , Elaine Shi , Mengqian Zhang

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

Cooperation is fundamental for human prosperity. Blockchain, as a trust machine, is a cooperative institution in cyberspace that supports cooperation through distributed trust with consensus protocols. While studies in computer science…

General Economics · Economics 2023-01-23 Luyao Zhang , Xinyu Tian

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 develops a model to evaluate the viability of blockchain markets as the sole venue for price formation. Blockchains clear at discrete intervals called block time, and transactions are executed sequentially according to priority…

General Finance · Quantitative Finance 2026-05-19 Agostino Capponi , Álvaro Cartea , Fayçal Drissi

Bitcoin and other similar digital currencies on blockchains are not ideal means for payment, because their prices tend to go up in the long term (thus people are incentivized to hoard those currencies), and to fluctuate widely in the short…

Computers and Society · Computer Science 2019-05-17 Kenji Saito , Mitsuru Iwamura

We study the strategic implications that arise from adding one extra option to the miners participating in the bitcoin protocol. We propose that when adding a block, miners also have the ability to pay forward an amount to be collected by…

Computer Science and Game Theory · Computer Science 2019-05-21 Elias Koutsoupias , Philip Lazos , Paolo Serafino , Foluso Ogunlana

In traditional public blockchain networks, transaction fees are only allocated to full nodes (i.e., miners). However, the lack of relay rewards reduces the willingness of light nodes to relay transactions, especially in the…

Networking and Internet Architecture · Computer Science 2024-01-25 Weiyi Wang , Yutao Jiao , Jin Chen , Wenting Dai , Jiawen Kang , Yuhua Xu

Second-price auctions with deposits are frequently used in blockchain environments. An auction takes place on-chain: bidders deposit an amount that fully covers their bid (but possibly exceeds it) in a smart contract. The deposit is used as…

Computer Science and Game Theory · Computer Science 2022-07-19 Jan Christoph Schlegel , Akaki Mamageishvili

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
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