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This paper demonstrates the existence of a finite set of equilibria in the case of the indeterminacy of linear rational expectations models. The number of equilibria corresponds to the number of ways to select n eigenvectors among a larger…

经济学 · 定量金融 2014-07-24 Jean-Bernard Chatelain , Kirsten Ralf

For given non-consistent initial conditions, we study the stability of a class of generalised linear systems of difference equations with constant coefficients and taking into account that the leading coefficient can be a singular matrix.…

动力系统 · 数学 2016-12-14 Nicholas Apostolopoulos , Fernando Ortega , Grigoris Kalogeropoulos

Coalition formation is a key problem in automated negotiation among self-interested agents, and other multiagent applications. A coalition of agents can sometimes accomplish things that the individual agents cannot, or can do things more…

计算机科学与博弈论 · 计算机科学 2009-09-29 Vincent Conitzer , Tuomas Sandholm

We consider stability concepts for random matchings where agents have preferences over objects and objects have priorities for the agents. When matchings are deterministic, the standard stability concept also captures the fairness property…

计算机科学与博弈论 · 计算机科学 2017-07-06 Haris Aziz , Bettina Klaus

In this paper, we examine \emph{hedonic coalition formation games} in which each player's preferences over partitions of players depend only on the members of his coalition. We present three main results in which restrictions on the…

计算机科学与博弈论 · 计算机科学 2012-01-24 Haris Aziz , Florian Brandl

We consider a single-server cyclic polling system with three queues where the server follows an adaptive rule: if it finds one of queues empty in a given cycle, it decides not to visit that queue in the next cycle. In the case of limited…

概率论 · 数学 2013-03-20 Natalia Chernova , Sergey Foss , Bara Kim

We study a two-period moral hazard problem; there are two agents, with action sets that are unknown to the principal. The principal contracts with each agent sequentially, and seeks to maximize the worst-case discounted sum of payoffs,…

理论经济学 · 经济学 2024-02-15 Chang Liu

We highlight the tension between stability and equality in non transferable utility matching. We consider many to one matchings and refer to the two sides of the market as students and schools. The latter have aligned preferences, which in…

理论经济学 · 经济学 2023-03-31 Alfred Galichon , Octavia Ghelfi , Marc Henry

Stable matching is a fundamental area with many practical applications, such as centralised clearinghouses for school choice or job markets. Recent work has introduced the paradigm of near-feasibility in capacitated matching settings, where…

计算机科学与博弈论 · 计算机科学 2026-02-12 Frederik Glitzner

We make two contributions to the study of polite combination in satisfiability modulo theories. The first contribution is a separation between politeness and strong politeness, by presenting a polite theory that is not strongly polite. This…

计算机科学中的逻辑 · 计算机科学 2021-04-28 Ying Sheng , Yoni Zohar , Christophe Ringeissen , Andrew Reynolds , Clark Barrett , Cesare Tinelli

We consider the situation in which an organizer is trying to convene an event, and needs to choose a subset of agents to be invited. Agents have preferences over how many attendees should be at the event and possibly also who the attendees…

计算机科学与博弈论 · 计算机科学 2014-06-02 Hooyeon Lee , Yoav Shoham

This paper addresses the bipartite consensus-control problem in open multi-agent systems containing both cooperative and antagonistic interactions. In these systems, new agents can join and new interactions can be formed over time.…

系统与控制 · 电气工程与系统科学 2025-05-01 Pelin Sekercioglu , Angela Fontan , Dimos V. Dimarogonas

We provide explicit conditions for uniform stability, global asymptotic stability and uniform exponential stability for dynamic equations with a single delay and a nonnegative coefficient. Some examples on nonstandard time scales are also…

动力系统 · 数学 2019-02-21 Elena Braverman , Basak Karpuz

The paper contains a discussion on a number of open problems in queueing theory. Some of them are known for decades, some are more recent. They relate to stability and to rare events. There is an idea to prepare a special issue of QUESTA on…

概率论 · 数学 2009-09-03 Sergey Foss

We survey the problem of deciding the stability or stabilizability of uncertain linear systems whose region of uncertainty is a polytope. This natural setting has applications in many fields of applied science, from Control Theory to…

系统与控制 · 计算机科学 2014-02-12 Nikos Vlassis , Raphaël Jungers

The classic Stable Roommates problem (which is the non-bipartite generalization of the well-known Stable Marriage problem) asks whether there is a stable matching for a given set of agents, i.e. a partitioning of the agents into disjoint…

计算复杂性 · 计算机科学 2018-02-21 Jiehua Chen , Danny Hermelin , Manuel Sorge , Harel Yedidsion

This paper studies two-sided many-to-one matching in which firms have complementary preferences. We show that stable matchings exist under a balancedness condition that rules out a specific type of odd-length cycles formed by firms'…

理论经济学 · 经济学 2022-05-17 Chao Huang

Two-sided matching markets, environments in which two disjoint groups of agents seek to partner with one another, arise in several contexts. In static, centralized markets where agents know their preferences, standard algorithms can yield a…

计算机科学与博弈论 · 计算机科学 2025-04-08 Vade Shah , Bryce L. Ferguson , Jason R. Marden

The stable marriage problem, as addressed by Gale and Shapely [1] consists of providing a bipartite matching between n " boys " and n " girls "-each of whom have a totally ordered preference list over the other set-such that there exists no…

计算机科学与博弈论 · 计算机科学 2016-08-30 Mircea Adrian Digulescu

We consider abstract-argumentation-theoretic coalition formability in this work. Taking a model from political alliance among political parties, we will contemplate profitability, and then formability, of a coalition. As is commonly…

人工智能 · 计算机科学 2017-05-23 Ryuta Arisaka , Ken Satoh
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