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We consider the approval-based model of elections, and undertake a computational study of voting rules which select committees whose size is not predetermined. While voting rules that output committees with a predetermined number of winning…

Computer Science and Game Theory · Computer Science 2017-11-20 Piotr Faliszewski , Arkadii Slinko , Nimrod Talmon

A well-studied randomized election algorithm proceeds as follows: In each round the remaining candidates each toss a coin and leave the competition if they obtain heads. Of interest is the number of rounds required and the number of…

Probability · Mathematics 2016-04-12 Rudolf Grübel , Klaas Hagemann

We consider the problem of electing a leader among nodes in a highly dynamic network where the adversary has unbounded capacity to insert and remove nodes (including the leader) from the network and change connectivity at will. We present a…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-21 John Augustine , Tejas Kulkarni , Paresh Nakhe , Peter Robinson

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

The study of the number of collisions in a Poisson-Dirichlet coalescent leads to the analysis of the following version of a stochastic leader-elec\-tion algorithm. Consider an infinite family of persons, labeled by $1,2,3,\ldots$, who…

Probability · Mathematics 2016-11-15 Gerold Alsmeyer , Zakhar Kabluchko , Alexander Marynych

We start with a set of n players. With some probability P(n,k), we kill n-k players; the other ones stay alive, and we repeat with them. What is the distribution of the number X_n of phases (or rounds) before getting only one player? We…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-02-12 Svante Janson , Christian Lavault , Guy Louchard

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

Leader election is, together with consensus, one of the most central problems in distributed computing. This paper presents a distributed algorithm, called \STT, for electing deterministically a leader in an arbitrary network, assuming…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-10 Arnaud Casteigts , Yves Métivier , John Michael Robson , Akka Zemmari

We investigate the practical aspects of computing the necessary and possible winners in elections over incomplete voter preferences. In the case of the necessary winners, we show how to implement and accelerate the polynomial-time algorithm…

Computer Science and Game Theory · Computer Science 2020-05-15 Vishal Chakraborty , Theo Delemazure , Benny Kimelfeld , Phokion G. Kolaitis , Kunal Relia , Julia Stoyanovich

The Possible-Winner problem asks, given an election where the voters' preferences over the set of candidates is partially specified, whether a distinguished candidate can become a winner. In this work, we consider the computational…

Computer Science and Game Theory · Computer Science 2018-02-27 Batya Kenig

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

Let $G$ be a finite Abelian group of order $d$. We consider an urn in which, initially, there are labeled balls that generate the group $G$. Choosing two balls from the urn with replacement, observe their labels, and perform a group…

Probability · Mathematics 2022-11-30 Li Yang , Jiang Hu , Zhidong Bai

The election is a classical problem in distributed algorithmic. It aims to design and to analyze a distributed algorithm choosing a node in a graph, here, in a tree. In this paper, a class of randomized algorithms for the election is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-20 Jean-François Marckert , Nasser Saheb-Djahromi , Akka Zemmari

Duckworth-Lewis (D/L) method is the incumbent rain rule used to decide the result of a limited overs cricket match should it not be able to reach its natural conclusion. Duckworth and Lewis (1998) devised a two factor relationship between…

Applications · Statistics 2018-10-03 Indrabati Bhattacharya , Rahul Ghosal , Sujit Ghosh

There are many distributed systems which use a leader in their logic. When such systems need to be fault tolerant and the current leader suffers a technical problem, it is necesary to apply a special algorithm in order to choose a new…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-08 Marius Rafailescu

Shortlisting of candidates--selecting a group of "best" candidates--is a special case of multiwinner elections. We provide the first in-depth study of the computational complexity of strategic voting for shortlisting based on the perhaps…

Multiagent Systems · Computer Science 2019-08-15 Robert Bredereck , Andrzej Kaczmarczyk , Rolf Niedermeier

We consider distributed elections, where there is a center and $k$ sites. In such distributed elections, each voter has preferences over some set of candidates, and each voter is assigned to exactly one site such that each site is aware…

Computer Science and Game Theory · Computer Science 2019-07-24 Arnold Filtser , Nimrod Talmon

Modern optimization strategies such as evolutionary algorithms, ant colony algorithms, Bayesian optimization techniques, etc. come with several parameters that steer their behavior during the optimization process. To obtain high-performing…

Neural and Evolutionary Computing · Computer Science 2022-06-28 Furong Ye , Diederick L. Vermetten , Carola Doerr , Thomas Bäck

We consider programmable matter that consists of computationally limited devices (called particles) that are able to self-organize in order to achieve some collective goal without the need for central control or external intervention. We…

Emerging Technologies · Computer Science 2017-08-08 Joshua J. Daymude , Robert Gmyr , Andrea W. Richa , Christian Scheideler , Thim Strothmann

We study a system of interacting reinforced random walks defined on polygons. At each stage, each particle chooses an edge to traverse which is incident to its position. We allow the probability of choosing a given edge to depend on the sum…

Probability · Mathematics 2016-04-07 Jiro Akahori , Andrea Collevecchio , Timothy Garoni , Kais Hamza
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