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While game-theoretic planning frameworks are effective at modeling multi-agent interactions, they require solving large optimization problems where the number of variables increases with the number of agents, resulting in long computation…

机器人学 · 计算机科学 2026-04-02 Tianyu Qiu , Eric Ouano , Fernando Palafox , Christian Ellis , David Fridovich-Keil

We present a unified framework for designing deterministic monotone polynomial time approximation schemes (PTAS's) for a wide class of scheduling problems on uniformly related machines. This class includes (among others) minimizing the…

数据结构与算法 · 计算机科学 2015-03-20 Leah Epstein , Asaf Levin , Rob van Stee

The coalgebraic $\mu$-calculus provides a generic semantic framework for fixpoint logics with branching types beyond the standard relational setup, e.g. probabilistic, weighted, or game-based. Previous work on the coalgebraic $\mu$-calculus…

计算机科学中的逻辑 · 计算机科学 2019-01-16 Daniel Hausmann , Lutz Schröder

In repeated-game applications where both the collusive and non-collusive outcomes can be supported as equilibria, researchers must resolve underlying selection questions if theory will be used to understand counterfactual policies. One…

综合经济学 · 经济学 2021-01-18 Emanuel Vespa , Taylor Weidman , Alistair J. Wilson

Two-player, turn-based, stochastic games with reachability conditions are considered, where the maximizer has no information (he is blind) and is restricted to deterministic strategies whereas the minimizer is perfectly informed. We ask the…

计算机科学与博弈论 · 计算机科学 2016-05-26 Edon Kelmendi , Hugo Gimbert

We consider a variation on the classical finance problem of optimal portfolio design. In our setting, a large population of consumers is drawn from some distribution over risk tolerances, and each consumer must be assigned to a portfolio of…

Stochastic games are an important class of problems that generalize Markov decision processes to game theoretic scenarios. We consider finite state two-player zero-sum stochastic games over an infinite time horizon with discounted rewards.…

最优化与控制 · 数学 2008-06-17 Parikshit Shah , Pablo A. Parrilo

In this article, we prove the completeness of the following game search algorithms: unbounded best-first minimax with completion and descent with completion, i.e. we show that, with enough time, they find the best game strategy. We then…

计算机科学与博弈论 · 计算机科学 2021-09-21 Quentin Cohen-Solal

Balanced allocation of online balls-into-bins has long been an active area of research for efficient load balancing and hashing applications.There exists a large number of results in this domain for different settings, such as parallel…

数据结构与算法 · 计算机科学 2011-12-30 Sourav Dutta , Souvik Bhattacherjee , Ankur Narang

Suppose we sequentially put $n$ balls into $n$ bins. If we put each ball into a random bin then the heaviest bin will contain ${\sim}\log n/\log\log n$ balls with high probability. However, Azar, Broder, Karlin and Upfal [SIAM J. Comput. 29…

数据结构与算法 · 计算机科学 2012-09-13 Itai Benjamini , Yury Makarychev

Finite turn-based safety games have been used for very different problems such as the synthesis of linear temporal logic (LTL), the synthesis of schedulers for computer systems running on multiprocessor platforms, and also for the…

计算机科学中的逻辑 · 计算机科学 2014-05-08 Gilles Geeraerts , Joël Goossens , Amélie Stainer

Parity games are simple infinite games played on finite graphs with a winning condition that is expressive enough to capture nested least and greatest fixpoints. Through their tight relationship to the modal mu-calculus, they are used in…

计算机科学中的逻辑 · 计算机科学 2019-09-18 Tom van Dijk

Probabilistic inference algorithms for finding the most probable explanation, the maximum aposteriori hypothesis, and the maximum expected utility and for updating belief are reformulated as an elimination--type algorithm called bucket…

人工智能 · 计算机科学 2013-02-18 Rina Dechter

For common notions of correlated equilibrium in extensive-form games, computing an optimal (e.g., welfare-maximizing) equilibrium is NP-hard. Other equilibrium notions -- communication (Forges 1986) and certification (Forges & Koessler…

计算机科学与博弈论 · 计算机科学 2022-12-02 Brian Hu Zhang , Tuomas Sandholm

Recent improvements in adder optimization could be achieved by optimizing the AND-trees occurring within the constructed circuits. The overlap of such trees and its potential for pure size optimization has not been taken into account…

数据结构与算法 · 计算机科学 2024-01-09 Susanne Armbruster

We study the classic problem of minimizing the expected total completion time of jobs on $m$ identical machines in the setting where the sizes of the jobs are stochastic. Specifically, the size of each job is a random variable whose…

数据结构与算法 · 计算机科学 2022-08-30 Anupam Gupta , Benjamin Moseley , Rudy Zhou

We consider two classes of constrained finite state-action stochastic games. First, we consider a two player nonzero sum single controller constrained stochastic game with both average and discounted cost criterion. We consider the same…

最优化与控制 · 数学 2012-06-11 Vikas Vikram Singh , N. Hemachandra

The traditional approach to choosing moves in game-playing programs is the minimax procedure. The general belief underlying its use is that increasing search depth improves play. Recent research has shown that given certain simplifying…

人工智能 · 计算机科学 2013-04-15 Bruce Abramson

We study ROUND-UFP and ROUND-SAP, two generalizations of the classical BIN PACKING problem that correspond to the unsplittable flow problem on a path (UFP) and the storage allocation problem (SAP), respectively. We are given a path with…

数据结构与算法 · 计算机科学 2022-02-09 Debajyoti Kar , Arindam Khan , Andreas Wiese

We consider infinite duration alternating move games. These games were previously studied by Roth, Balcan, Kalai and Mansour. They presented an FPTAS for computing an approximated equilibrium, and conjectured that there is a polynomial…

计算机科学与博弈论 · 计算机科学 2013-04-25 Yaron Velner