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We analyse the computational complexity of finding Nash equilibria in stochastic multiplayer games with $\omega$-regular objectives. While the existence of an equilibrium whose payoff falls into a certain interval may be undecidable, we…

Computer Science and Game Theory · Computer Science 2010-06-24 Michael Ummels , Dominik Wojtczak

This paper studies the optimal transaction fee mechanisms for blockchains, focusing on the distinction between price-based ($\mathcal{P}$) and quantity-based ($\mathcal{Q}$) controls. By analyzing factors such as demand uncertainty,…

General Economics · Economics 2025-02-26 Abdoulaye Ndiaye

We consider repeated allocation of a shared resource via a non-monetary mechanism, wherein a single item must be allocated to one of multiple agents in each round. We assume that each agent has i.i.d. values for the item across rounds, and…

Computer Science and Game Theory · Computer Science 2025-11-07 David X. Lin , Siddhartha Banerjee , Giannis Fikioris , Éva Tardos

This paper investigates the efficiency loss in social cost caused by strategic bidding behavior of individual participants in a supply-demand balancing market, and proposes a mechanism to fully recover equilibrium social optimum via…

Optimization and Control · Mathematics 2021-06-22 Kaiying Lin , Beibei Wang , Pengcheng You

This paper introduces a deterministic Byzantine consensus algorithm that relies on a new weak coordinator. As opposed to previous algorithms that cannot terminate in the presence of a faulty or slow coordinator, our algorithm can terminate…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Tyler Crain , Vincent Gramoli , Mikel Larrea , Michel Raynal

Inspired by the recent work by Shapiro et al. [45], we propose a Bayesian distributionally robust Nash equilibrium (BDRNE) model where each player lacks complete information on the true probability distribution of the underlying uncertainty…

Optimization and Control · Mathematics 2025-08-18 Jian Liu , Ziheng Su , Huifu Xu

The equilibrium selection problem in the generalized Nash equilibrium problem (GNEP) has recently been studied as an optimization problem, defined over the set of all variational equilibria achievable through a lower-level non-cooperative…

Optimization and Control · Mathematics 2025-01-28 Shota Matsuo , Keita Kume , Isao Yamada

To implement a blockchain, the trend is now to integrate a non-trivial Byzantine fault tolerant consensus algorithm instead of the seminal idea of waiting to receive blocks to decide upon the longest branch. After a decade of existence,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-16 Pierre Tholoniat , Vincent Gramoli

Nash equilibria and Pareto optimality are two distinct concepts when dealing with multiple criteria. It is well known that the two concepts do not coincide. However, in this work we show that it is possible to characterize the set of all…

Optimization and Control · Mathematics 2022-12-12 Zachary Feinstein , Birgit Rudloff

Blockchain protocols typically aspire to run in the permissionless setting, in which nodes are owned and operated by a large number of diverse and unknown entities, with each node free to start or stop running the protocol at any time. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-05 Andrew Lewis-Pye , Tim Roughgarden

Blockchain databases have attracted widespread attention but suffer from poor scalability due to underlying non-scalable blockchains. While blockchain sharding is necessary for a scalable blockchain database, it poses a new challenge named…

Databases · Computer Science 2024-07-08 Zicong Hong , Song Guo , Enyuan Zhou , Wuhui Chen , Huawei Huang , Albert Zomaya

In contrast to proof-of-work replication, Byzantine quorum systems maintain consistency across replicas with higher throughput modest energy consumption, and deterministic liveness guarantees. If complemented with heterogeneous trust and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-26 Xiao Li , Mohsen Lesani

In dynamic games with shared constraints, Generalized Nash Equilibria (GNE) are often computed using the normalized solution concept, which assumes identical Lagrange multipliers for shared constraints across all players. While widely used,…

Robotics · Computer Science 2025-04-10 Mark Pustilnik , Antonio Loquercio , Francesco Borrelli

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

At PODC 2014, A. Most\'efaoui, H. Moumen, and M. Raynal presented a new and simple randomized signature-free binary consensus algorithm (denoted here MMR) that copes with the net effect of asynchrony Byzantine behaviors. Assuming message…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-24 Chryssis Georgiou , Ioannis Marcoullis , Michel Raynal , Elad Michael Schiller

Ensuring that an AI system behaves reliably and as intended, especially in the presence of unexpected faults or adversarial conditions, is a complex challenge. Inspired by the field of Byzantine Fault Tolerance (BFT) from distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-30 John deVadoss , Matthias Artzt

We consider a multi-agent noncooperative game with agents' objective functions being affected by uncertainty. Following a data driven paradigm, we represent uncertainty by means of scenarios and seek a robust Nash equilibrium solution. We…

Optimization and Control · Mathematics 2020-10-15 Filiberto Fele , Kostas Margellos

The surging interest in blockchain technology has revitalized the search for effective Byzantine consensus schemes. In particular, the blockchain community has been looking for ways to effectively integrate traditional Byzantine…

Cryptography and Security · Computer Science 2018-11-15 Jian Liu , Wenting Li , Ghassan O. Karame , N. Asokan

Nash equilibrium is a central solution concept for reasoning about self-interested agents. We address the problem of synthesizing Nash equilibria in two-player deterministic games on graphs, where players have private, partially-ordered…

Computer Science and Game Theory · Computer Science 2025-10-29 Caleb Probine , Abhishek Kulkarni , Ufuk Topcu

Optimum decision fusion in the presence of malicious nodes - often referred to as Byzantines - is hindered by the necessity of exactly knowing the statistical behavior of Byzantines. By focusing on a simple, yet widely studied, set-up in…

Systems and Control · Computer Science 2015-07-03 Andrea Abrardo , Mauro Barni , Kassem Kallas , Benedetta Tondi