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Related papers: A Cooperative Optimal Mining Model for Bitcoin

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This article introduces a class of $Nash$ games among $Stackelberg$ players ($NASPs$), namely, a class of simultaneous non-cooperative games where the players solve sequential Stackelberg games. Specifically, each player solves a…

Computer Science and Game Theory · Computer Science 2025-03-04 Margarida Carvalho , Gabriele Dragotto , Felipe Feijoo , Andrea Lodi , Sriram Sankaranarayanan

Mining blocks on a blockchain equipped with a proof of work consensus protocol is well-known to be resource-consuming. A miner bears the operational cost, mainly electricity consumption and IT gear, of mining, and is compensated by a…

Cryptography and Security · Computer Science 2020-10-27 Hansjoerg Albrecher , Pierre-Olivier Goffard

In this paper we describe the various scoring systems used to calculate rewards of participants in Bitcoin pooled mining, explain the problems each were designed to solve and analyze their respective advantages and disadvantages.

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-22 Meni Rosenfeld

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

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

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

Mining attacks allow adversaries to obtain a disproportionate share of the mining reward by deviating from the honest mining strategy in the Bitcoin system. Among them, the most well-known are selfish mining (SM), block withholding (BWH),…

Computer Science and Game Theory · Computer Science 2023-05-15 Junjie Hu , Chunxiang Xu , Zhe Jiang , Jiwu Cao

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

The security of Bitcoin protocols is deeply dependent on the incentives provided to miners, which come from a combination of block rewards and transaction fees. As Bitcoin experiences more halving events, the protocol reward converges to…

Cryptography and Security · Computer Science 2025-09-12 Roozbeh Sarenche , Alireza Aghabagherloo , Svetla Nikova , Bart Preneel

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

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

Background: During the last years, there has been a lot of discussion and estimations on the energy consumption of Bitcoin miners. However, most of the studies are focused on estimating energy consumption, not in exploring the factors that…

Cryptography and Security · Computer Science 2021-07-23 Jesus M. Gonzalez-Barahona

In Aug. 2017, Bitcoin was split into the original Bitcoin (BTC) and Bitcoin Cash (BCH). Since then, miners have had a choice between BTC and BCH mining because they have compatible proof-of-work algorithms. Therefore, they can freely choose…

Cryptography and Security · Computer Science 2019-03-05 Yujin Kwon , Hyoungshick Kim , Jinwoo Shin , Yongdae Kim

We propose a model for games in which the players have shared access to a blockchain that allows them to deploy smart contracts to act on their behalf. This changes fundamental game-theoretic assumptions about rationality since a contract…

Computer Science and Game Theory · Computer Science 2023-04-05 Mathias Hall-Andersen , Nikolaj I. Schwartzbach

We review the so called selfish mining strategy in the Bitcoin network and compare its profitability to honest mining.We build a rigorous profitability model for repetition games. The time analysis of the attack has been ignored in the…

Computer Science and Game Theory · Computer Science 2019-01-23 Cyril Grunspan , Ricardo Pérez-Marco

A hard-fork reconfiguration of the peer to peer Bitcoin network is described that substitutes tamper-evident logs and proof-of-stake consensus for proof-of-work consensus. The block creation rewards and transaction fees are reallocated to…

Computers and Society · Computer Science 2014-05-23 Stephen L. Reed

This paper proposes an energy management technique for a consumer-to-grid system in smart grid. The benefit to consumers is made the primary concern to encourage consumers to participate voluntarily in energy trading with the central power…

Systems and Control · Computer Science 2016-11-17 Wayes Tushar , Jian A. Zhang , David Smith , H. Vincent Poor , Sylvie Thiebaux

Various peer-to-peer energy markets have emerged in recent years in an attempt to manage distributed energy resources in a more efficient way. One of the main challenges these models face is how to create and allocate incentives to…

Computer Science and Game Theory · Computer Science 2019-03-27 Liyang Han , Thomas Morstyn , Malcolm McCulloch

We study a game-theoretic model for pool formation in Proof of Stake blockchain protocols. In such systems, stakeholders can form pools as a means of obtaining regular rewards from participation in ledger maintenance, with the power of each…

Computer Science and Game Theory · Computer Science 2025-06-09 Aggelos Kiayias , Elias Koutsoupias , Evangelos Markakis , Panagiotis Tsamopoulos

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