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Random selection, leader election, and collective coin flipping are fundamental tasks in fault-tolerant distributed computing. We study these problems in the full-information model where despite decades of study, key gaps remain in our…

Computational Complexity · Computer Science 2026-04-30 Eshan Chattopadhyay , Mohit Gurumukhani , Noam Ringach , Rocco A. Servedio

The \emph{rational fair consensus problem} can be informally defined as follows. Consider a network of $n$ (selfish) \emph{rational agents}, each of them initially supporting a \emph{color} chosen from a finite set $ \Sigma$. The goal is to…

Computer Science and Game Theory · Computer Science 2017-05-29 Andrea Clementi , Luciano Gualà , Guido Proietti , Giacomo Scornavacca

In this paper, we look at the problem of randomized leader election in synchronous distributed networks with a special focus on the message complexity. We provide an algorithm that solves the implicit version of leader election (where…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-03 Seth Gilbert , Peter Robinson , Suman Sourav

This paper concerns {\em randomized} leader election in synchronous distributed networks. A distributed leader election algorithm is presented for complete $n$-node networks that runs in O(1) rounds and (with high probability) uses only…

Data Structures and Algorithms · Computer Science 2013-05-16 Shay Kutten , Gopal Pandurangan , David Peleg , Peter Robinson , Amitabh Trehan

We study the problem of randomized Leader Election in synchronous distributed networks with indistinguishable nodes. We consider algorithms that work on networks of arbitrary topology in two settings, depending on whether the size of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-18 Dariusz R. Kowalski , Miguel A. Mosteiro

Leader election between n parties is known to be impossible classically. This work gives a simple algorithm that does it, based on the weak coin flipping protocol with arbitrarily small bias derived by Mochon in 2007, and recently published…

Quantum Physics · Physics 2016-10-21 Maor Ganz

Fairness is a desirable and crucial property of many protocols that handle, for instance, exchanges of message. It states that if at least one agent engaging in the protocol is honest, then either the protocol will unfold correctly and…

Computer Science and Game Theory · Computer Science 2024-11-01 Léonard Brice , Jean-François Raskin , Mathieu Sassolas , Guillaume Scerri , Marie van den Bogaard

The population protocol model is a computational model for passive mobile agents. We address the leader election problem, which determines a unique leader on arbitrary communication graphs starting from any configuration. Unfortunately,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-10 Haruki Kanaya , Ryota Eguchi , Taisho Sasada , Michiko Inoue

Distributed consensus protocols reach agreement among $n$ players in the presence of $f$ adversaries; different protocols support different values of $f$. Existing works study this problem for different adversary types (captured by threat…

Computer Science and Game Theory · Computer Science 2024-05-14 Varul Srivastava , Sujit Gujar

We study the problems of leader election and population size counting for population protocols: networks of finite-state anonymous agents that interact randomly under a uniform random scheduler. We show a protocol for leader election that…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-08 Othon Michail , Paul G. Spirakis , Michail Theofilatos

Proof-of-Stake systems randomly choose, on each round, one of the participants as a consensus leader that extends the chain with the next block such that the selection probability is proportional to the owned stake. However, distributed…

Cryptography and Security · Computer Science 2020-05-20 Mansoor Ahmed-Rengers , Kari Kostiainen

We consider the problem of rational secret sharing introduced by Halpern and Teague [1], where the players involved in secret sharing play only if it is to their advantage. This can be characterized in the form of preferences. Players would…

Cryptography and Security · Computer Science 2011-12-20 William K. Moses , C. Pandu Rangan

Prior work studies the question of ``fairly'' ordering transactions in a replicated state machine. Each of $n$ replicas receives transactions in a possibly different order, and the system must aggregate the observed orderings into a single…

Cryptography and Security · Computer Science 2024-10-02 Geoffrey Ramseyer , Ashish Goel

Consensus protocols inherently rely on the notion of leader election, in which one or a subset of participants are temporarily elected to authorize and announce the network's latest state. While leader election is a well studied problem,…

Cryptography and Security · Computer Science 2018-02-06 Sarah Azouvi , Patrick McCorry , Sarah Meiklejohn

In a distributed coin-flipping protocol, Blum [ACM Transactions on Computer Systems '83], the parties try to output a common (close to) uniform bit, even when some adversarially chosen parties try to bias the common output. In an adaptively…

Cryptography and Security · Computer Science 2024-10-29 Iftach Haitner , Yonatan Karidi-Heller

In the classical leader election procedure all players toss coins independently and those who get tails leave the game, while those who get heads move to the next round where the procedure is repeated. We investigate a generalizion of this…

Probability · Mathematics 2017-03-02 Gerold Alsmeyer , Zakhar Kabluchko , Alexander Marynych

Unlimited asynchronism is intolerable in real physically distributed computer systems. Such systems, synchronous or not, use clocks and timeouts. Therefore the magnitudes of elapsed absolute time in the system need to satisfy the axiom of…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-06-04 Paul M. B. Vitanyi

We consider the standard population protocol model, where (a priori) indistinguishable and anonymous agents interact in pairs according to uniformly random scheduling. The self-stabilizing leader election problem requires the protocol to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-30 Janna Burman , Ho-Lin Chen , Hsueh-Ping Chen , David Doty , Thomas Nowak , Eric Severson , Chuan Xu

Coin flipping is a cryptographic primitive in which two spatially separated players, who in principle do not trust each other, wish to establish a common random bit. If we limit ourselves to classical communication, this task requires…

Quantum Physics · Physics 2013-05-29 Guido Berlin , Gilles Brassard , Felix Bussieres , Nicolas Godbout

We study the leader election problem in oriented ring networks under content-oblivious asynchronous message-passing systems, where an adversary may arbitrarily corrupt message contents. Frei et al. (DISC 2024) presented a uniform…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-24 Jérémie Chalopin , Yi-Jun Chang , Lyuting Chen , Giuseppe A. Di Luna , Haoran Zhou
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