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The main goal of this article is to present a direct approach for the formula giving the long-term apparent hashrates of Selfish Mining strategies using only elementary probabilities and combinatorics, more precisely, Dyck words. We can…

Cryptography and Security · Computer Science 2019-04-17 Cyril Grunspan , Ricardo Pérez-Marco

Blockchains are intended to be immutable, so an attacker who is able to delete transactions through a chain reorganization (a malicious reorg) can perform a profitable double-spend attack. We study the rate at which an attacker can execute…

Cryptography and Security · Computer Science 2020-09-14 Michael Neuder , Daniel J. Moroz , Rithvik Rao , David C. Parkes

We consider a class of optimization problems over stochastic variables where the algorithm can learn information about the value of any variable through a series of costly steps; we model this information acquisition process as a Markov…

Data Structures and Algorithms · Computer Science 2025-07-25 Shuchi Chawla , Dimitris Christou , Amit Harlev , Ziv Scully

Probabilistic model checking is a useful technique for specifying and verifying properties of stochastic systems including randomized protocols and reinforcement learning models. Existing methods rely on the assumed structure and…

Cryptography and Security · Computer Science 2022-08-02 Lisa Oakley , Alina Oprea , Stavros Tripakis

We investigate the problem of designing optimal stealthy poisoning attacks on the control channel of Markov decision processes (MDPs). This research is motivated by the recent interest of the research community for adversarial and poisoning…

Systems and Control · Electrical Eng. & Systems 2021-09-16 Alessio Russo , Alexandre Proutiere

Bitcoin-NG, a scalable blockchain protocol, divides each block into a key block and many micro blocks to effectively improve the transaction processing capacity. Bitcoin-NG has a special incentive mechanism (i.e. splitting transaction fees…

Cryptography and Security · Computer Science 2020-06-23 Taotao Wang , Xiaoqian Bai , Hao Wang , Soung Chang Liew , Shengli Zhang

In this paper, we construct a decentralized clearing mechanism which endogenously and automatically provides a claims resolution procedure. This mechanism can be used to clear a network of obligations through blockchain. In particular, we…

Risk Management · Quantitative Finance 2022-01-11 Hamed Amini , Maxim Bichuch , Zachary Feinstein

Providing an execution time certificate is a pressing requirement when deploying Model Predictive Control (MPC) in real-time embedded systems such as microcontrollers. Real-time MPC requires that its worst-case (maximum) execution time must…

Optimization and Control · Mathematics 2024-04-02 Liang Wu , Richard D. Braatz

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

We give a straightforward proof for the formula giving the long-term apparent hashrate of the Selfish Mining strategy in Bitcoin using only elementary probabilities and combinatorics, and more precisely, Dyck words. There is no need to…

Cryptography and Security · Computer Science 2019-02-06 Cyril Grunspan , Ricardo Pérez-Marco

Conventional double-spending attack models ignore the revenue losses stemming from the orphan blocks. On the other hand, selfish mining literature usually ignores the chance of the attacker to double-spend at no-cost in each attack cycle.…

Cryptography and Security · Computer Science 2026-03-23 Mustafa Doger , Sennur Ulukus

Selfish mining, which is an attack on the integrity of the Bitcoin network, was first proposed by Cornell researchers Emin Gun Sirer and Ittay Eyal in 2013. Selfish mining attack also exists in most Nakamoto consensus protocols. Generally…

Networking and Internet Architecture · Computer Science 2018-09-18 Rui Tian , Wei Gong

Bitcoin's security relies on its Proof-of-Work consensus, where miners solve puzzles to propose blocks. The puzzle's difficulty is set by the difficulty adjustment mechanism (DAM), based on the network's available mining power. Attacks that…

Cryptography and Security · Computer Science 2025-02-12 Roozbeh Sarenche , Svetla Nikova , Bart Preneel

Bitcoin uses blockchain technology to maintain transactions order and provides probabilistic guarantee to prevent double-spending, assuming that an attacker's computational power does not exceed %50 of the network power. In this paper, we…

Cryptography and Security · Computer Science 2024-11-19 Ghader Ebrahimpour , Mohammad Sayad Haghighi

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

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

To address the large amount of energy wasted by blockchains, we propose a decentralized consensus protocol for blockchains in which the computation can be used to search for good approximate solutions to any optimization problem. Our…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-03 Naoki Shibata

Proof of Work (PoW) has extensively served as the foundation of blockchain's security, consistency, and tamper-resistance. However, long has it been criticized for its tremendous and inefficient utilization of computational power and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-04 Weihang Cao , Xintong Ling , Jiaheng Wang , Xiqi Gao , Zhi Ding

In this paper we revisit the mining strategies in proof of work based cryptocurrencies and propose two strategies, we call smart and smarter mining, that in many cases strictly dominate honest mining. In contrast to other known attacks,…

Cryptography and Security · Computer Science 2019-02-13 Guy Goren , Alexander Spiegelman

Suppose an agent is in a (possibly unknown) Markov Decision Process in the absence of a reward signal, what might we hope that an agent can efficiently learn to do? This work studies a broad class of objectives that are defined solely as…

Machine Learning · Computer Science 2019-01-29 Elad Hazan , Sham M. Kakade , Karan Singh , Abby Van Soest