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In network science, identifying optimal partitions of a signed network into internally cohesive and mutually divisive clusters based on generalized balance theory is computationally challenging. We reformulate and generalize two binary…

社会与信息网络 · 计算机科学 2022-07-28 Samin Aref , Zachary P. Neal

Unlicensed secondary users (SUs) in cognitive radio networks are subject to an inherent tradeoff between spectrum sensing and spectrum access. Although each SU has an incentive to sense the primary user (PU) channels for locating spectrum…

信息论 · 计算机科学 2015-06-04 Walid Saad , Zhu Han , Rong Zheng , Are Hjørungnes , Tamer Başar , H. Vincent Poor

We model the societal task of redistricting political districts as a partitioning problem: Given a set of $n$ points in the plane, each belonging to one of two parties, and a parameter $k$, our goal is to compute a partition $\Pi$ of the…

数据结构与算法 · 计算机科学 2021-12-16 Pankaj K. Agarwal , Shao-Heng Ko , Kamesh Munagala , Erin Taylor

We model an electorate voting on the funding of a public good in a two-party system in an evolutionary game theory framework. Voters adopt one of four strategies: Consensus-makers, Gridlockers, Party 1 Zealots, and Party 2 Zealots, which…

物理与社会 · 物理学 2026-03-27 Jonathan Engle , Bryce Morsky

We study a stopping game of preemption type between two players who both act under uncertain competition. In this framework we introduce, and study the effect of, (i) asymmetry of payoffs, allowing e.g. for different investment costs, and…

概率论 · 数学 2024-11-08 Erik Ekström , Yuqiong Wang

Simple stochastic games are turn-based 2.5-player games with a reachability objective. The basic question asks whether one player can ensure reaching a given target with at least a given probability. A natural extension is games with a…

计算机科学与博弈论 · 计算机科学 2021-02-02 Pranav Ashok , Krishnendu Chatterjee , Jan Kretinsky , Maximilian Weininger , Tobias Winkler

Solving parity games is a major building block for numerous applications in reactive program verification and synthesis. While they can be solved efficiently in practice, no known approach has a polynomial worst-case runtime complexity. We…

计算机科学与博弈论 · 计算机科学 2023-07-28 Tobias Hecking , Swathy Muthukrishnan , Alexander Weinert

In this paper, we present a novel approach using the Auto GPT system alongside Design Sprint methodology to facilitate board game creation for inexperienced users. We introduce the implementation of Auto GPT for generating diverse board…

人机交互 · 计算机科学 2023-12-25 Maya Grace Torii , Takahito Murakami , Yoichi Ochiai

We introduce simulated packing and cracking as a technique for evaluating partisan-gerrymandering measures. We apply it to historical congressional and legislative elections to evaluate four measures: partisan bias, declination, efficiency…

物理与社会 · 物理学 2021-02-03 Jeffrey S. Buzas , Gregory S. Warrington

Several measures of partisan bias are reviewed for single member districts with two dominant parties. These include variants of the simple bias that considers only deviation of seats from 50% at statewide 50% vote. Also included are…

物理与社会 · 物理学 2020-06-26 John F. Nagle

This paper presents (permissive) \emph{Quantitative Strategy Templates} (QaSTels) to succinctly represent infinitely many winning strategies in two-player energy and mean-payoff games. This transfers the recently introduced concept of…

计算机科学与博弈论 · 计算机科学 2025-04-24 Ashwani Anand , Satya Prakash Nayak , Ritam Raha , Irmak Sağlam , Anne-Kathrin Schmuck

We present a new algorithm to optimize distributions defined implicitly by parameterized stochastic diffusions. Doing so allows us to modify the outcome distribution of sampling processes by optimizing over their parameters. We introduce a…

We demonstrate a multipartite protocol to securely distribute and reconstruct a quantum state. A secret quantum state is encoded into a tripartite entangled state and distributed to three players. Any two of the three players are able to…

量子物理 · 物理学 2009-11-10 Andrew M. Lance , Thomas Symul , Warwick P. Bowen , Barry C. Sanders , Ping Koy Lam

The problem of guessing subject to distortion is considered, and the performance of randomized guessing strategies is investigated. A one-shot achievability bound on the guessing moment (i.e., moment of the number of required queries) is…

信息论 · 计算机科学 2021-05-27 Shigeaki Kuzuoka

Partisan gerrymandering, i.e., manipulation of electoral district boundaries for political advantage, is one of the major challenges to election integrity in modern day democracies. Yet most of the existing methods for detecting partisan…

应用统计 · 统计学 2023-06-06 Wojciech Słomczyński , Dariusz Stolicki , Stanisław Szufa

The policy iteration method is a classical algorithm for solving optimal control problems. In this paper, we introduce a policy iteration method for Mean Field Games systems, and we study the convergence of this procedure to a solution of…

偏微分方程分析 · 数学 2021-07-12 Simone Cacace , Fabio Camilli , Alessandro Goffi

In simple card games, cards are dealt one at a time and the player guesses each card sequentially. We study problems where feedback (e.g. correct/incorrect) is given after each guess. For decks with repeated values (as in blackjack where…

概率论 · 数学 2021-07-20 Persi Diaconis , Ron Graham , Sam Spiro

We consider multi-player games played on graphs, in which the players aim at fulfilling their own (not necessarily antagonistic) objectives. In the spirit of evolutionary game theory, we suppose that the players have the right to repeatedly…

计算机科学与博弈论 · 计算机科学 2019-10-04 Thomas Brihaye , Gilles Geeraerts , Marion Hallet , Benjamin Monmege , Bruno Quoitin

Quantum State Sharing (QSS) is a protocol by which a (secret) quantum state may be securely split, shared between multiple potentially dishonest players, and reconstructed. Crucially the players are each assumed to be dishonest, and so QSS…

量子物理 · 物理学 2023-06-05 Cailean Wilkinson , Matthew Thornton , Natalia Korolkova

We present a new tool for the study of multiplayer stochastic games, namely the modified game, which is a normal-form game that depends on the discount factor, the initial state, and for every player a partition of the set of states and a…

概率论 · 数学 2017-03-14 Eilon Solan