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We develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer…

Computer Science and Game Theory · Computer Science 2008-09-02 Joseph Y. Halpern , Rafael Pass

Game theory is a very profound study on distributed decision-making behavior and has been extensively developed by many scholars. However, many existing works rely on certain strict assumptions such as knowing the opponent's private…

Computer Science and Game Theory · Computer Science 2020-04-21 Kuo Chun Tsai , Zhu Han

We analyze Qubic's publicly claimed selfish mining attack against Monero in 2025. By combining measurements from Monero nodes, the Qubic pool API, and Qubic-network observations, we reconstruct Qubic-attributed blocks and effective hashrate…

Cryptography and Security · Computer Science 2026-02-03 Suhyeon Lee , Hyeongyeong Kim

Blockchain systems benefit from lessons in prior art such as fault tolerance, distributed systems, peer-to-peer systems, and game theory. In this paper we argue that blockchain algorithms should tolerate both rational (self-interested)…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-05 Jean-Philippe Martin , Eunjin , Jung

Blockchain is rapidly emerging as an important class of network application, with a unique set of trust, security and transparency properties. In a blockchain system, participants record and update the `server-side' state of an application…

Networking and Internet Architecture · Computer Science 2022-05-24 Yifan Mao , Shaileshh Bojja Venkatakrishnan

"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

In the context of the `selfish-mine' strategy proposed by Eyal and Sirer, we study the effect of propagation delay on the evolution of the Bitcoin blockchain. First, we use a simplified Markov model that tracks the contrasting states of…

Cryptography and Security · Computer Science 2015-05-22 Johannes Göbel , Paul Keeler , Anthony E. Krzesinski , Peter G. Taylor

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

We consider a game-theoretic setting to model the interplay between attacker and defender in the context of information flow, and to reason about their optimal strategies. In contrast with standard game theory, in our games the utility of a…

Cryptography and Security · Computer Science 2022-05-03 Mário S. Alvim , Konstantinos Chatzikokolakis , Yusuke Kawamoto , Catuscia Palamidessi

Censorship resilience is a fundamental assumption underlying the security of blockchain protocols. Additionally, the analysis of blockchain security from an economic and game theoretic perspective has been growing in popularity in recent…

Computer Science and Game Theory · Computer Science 2025-07-03 Michelle Yeo , Haoqian Zhang

We consider an example of stochastic games with partial, asymmetric and non-classical information. We obtain relevant equilibrium policies using a new approach which allows managing the belief updates in a structured manner. Agents have…

Computer Science and Game Theory · Computer Science 2019-09-17 Veeraruna Kavitha , Mayank Maheshwari , Eitan Altman

Cryptocurrencies have garnered much attention in recent years, both from the academic community and industry. One interesting aspect of cryptocurrencies is their explicit consideration of incentives at the protocol level. Understanding how…

Cryptography and Security · Computer Science 2020-02-24 Sarah Azouvi , Alexander Hicks

We study to what extent the Bitcoin blockchain security permanently depends on the underlying distribution of cryptocurrency market outcomes. We use daily blockchain and Bitcoin data for 2014-2019 and employ the ARDL approach. We test three…

General Economics · Economics 2021-02-18 Pavel Ciaian , d'Artis Kancs , Miroslava Rajcaniova

We design and analyze attention games that incentivize validators to check computation results. We show that no pure strategy Nash equilibrium of the game without outside parties exists by a simple argument. We then proceed to calculate the…

Computer Science and Game Theory · Computer Science 2023-08-08 Akaki Mamageishvili , Edward W. Felten

We consider a class of interdependent security games on networks where each node chooses a personal level of security investment. The attack probability experienced by a node is a function of her own investment and the investment by her…

Computer Science and Game Theory · Computer Science 2016-08-16 Ashish R. Hota , Shreyas Sundaram

Committee-based blockchains are among the most popular alternatives of proof-of-work based blockchains, such as Bitcoin. They provide strong consistency (no fork) under classical assumptions, and avoid using energy-consuming mechanisms to…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-23 Yackolley Amoussou-Guenou , Antonella del Pozzo , Maria Potop-Butucaru , Sara Tucci-Piergiovanni

Proof of work cryptocurrencies began with the promise of a more egalitarian future with a decentralized monetary system with no powerful entities in charge. While this vision is far from realized, these cryptocurrencies are still touted to…

Cryptography and Security · Computer Science 2022-03-31 Sishan Long , Soumya Basu , Emin Gün Sirer

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

Blockchain plays a crucial role in ensuring the security and integrity of decentralized systems, with the proof-of-work (PoW) mechanism being fundamental for achieving distributed consensus. As PoW blockchains see broader adoption, an…

Systems and Control · Electrical Eng. & Systems 2026-01-07 Xunqiang Lan , Xiao Tang , Ruonan Zhang , Bin Li , Qinghe Du , Dusit Niyato , Zhu Han

We present a strategy for a single quantum miner with relatively low hashing power, with the same ramifications as a 51% attack. Bitcoin nodes consider the chain with the highest cumulative proof-of-work to be the valid chain. A quantum…

Quantum Physics · Physics 2024-10-01 Bolton Bailey , Or Sattath