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We develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer…

Computer Science and Game Theory · Computer Science 2008-09-02 Joseph Y. Halpern , Rafael Pass

Writing high performance solvers for engineering applications is a delicate task. These codes are often developed on an application to application basis, highly optimized to solve a certain problem. Here, we present our work on developing a…

Computational Engineering, Finance, and Science · Computer Science 2018-08-14 Niclas Jansson , Rahul Bale , Keiji Onishi , Makoto Tsubokura

Grid-free Monte Carlo methods such as walk on spheres can be used to solve elliptic partial differential equations without mesh generation or global solves. However, such methods independently estimate the solution at every point, and hence…

Graphics · Computer Science 2023-05-16 Bailey Miller , Rohan Sawhney , Keenan Crane , Ioannis Gkioulekas

It is known that the model checking problem for the modal mu-calculus reduces to the problem of solving a parity game and vice-versa. The latter is realised by the Walukiewicz formulas which are satisfied by a node in a parity game iff…

Logic in Computer Science · Computer Science 2014-08-27 Florian Bruse , Michael Falk , Martin Lange

We describe an asynchronous algorithm to solve secure multiparty computation (MPC) over n players, when strictly less than a 1/8 fraction of the players are controlled by a static adversary. For any function f over a field that can be…

Data Structures and Algorithms · Computer Science 2013-10-15 Varsha Dani , Valerie King , Mahnush Movahedi , Jared Saia

We give the first ExpTime (complexity-optimal) tableau decision procedure for checking satisfiability of a knowledge base in the description logic SHOQ, which extends the basic description logic ALC with transitive roles, hierarchies of…

Logic in Computer Science · Computer Science 2014-07-22 Linh Anh Nguyen , Joanna Golińska-Pilarek

The in-memory cache system is an important component in a cloud for the data access performance. As the tenants may have different performance goals for data access depending on the nature of their tasks, effectively managing the memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-05 Taejoon Kim , Yu Gu , Jinoh Kim

Consider a card guessing game with complete feedback in which a deck of $n$ cards ordered $1,\dots, n$ is riffle-shuffled once. With the goal to maximize the number of correct guesses, a player guesses cards from the top of the deck one at…

Combinatorics · Mathematics 2022-07-22 Tipaluck Krityakierne , Thotsaporn Aek Thanatipanonda

Imperfect-recall abstraction has emerged as the leading paradigm for practical large-scale equilibrium computation in incomplete-information games. However, imperfect-recall abstractions are poorly understood, and only weak…

Computer Science and Game Theory · Computer Science 2016-06-07 Christian Kroer , Tuomas Sandholm

We propose a novel algorithm for automata-based LTL model checking that interleaves the construction of the generalized B\"{u}chi automaton for the negation of the formula and the emptiness check. Our algorithm first converts the LTL…

Logic in Computer Science · Computer Science 2007-05-23 Moritz Hammer , Alexander Knapp , Stephan Merz

We introduce a novel technique to analyse unambiguous B\"uchi automata quantitatively, and apply this to the model checking problem. It is based on linear-algebra arguments that originate from the analysis of matrix semigroups with constant…

Formal Languages and Automata Theory · Computer Science 2024-09-17 Stefan Kiefer , Cas Widdershoven

Simulated annealing is a popular method for approaching the solution of a global optimization problem. Existing results on its performance apply to discrete combinatorial optimization where the optimization variables can assume only a…

Machine Learning · Statistics 2007-09-20 A. Lecchini-Visintini , J. Lygeros , J. Maciejowski

Game contingent claims (GCCs) generalize American contingent claims by allowing the writer to recall the option as long as it is not exercised, at the price of paying some penalty. In incomplete markets, an appealing approach is to analyze…

Probability · Mathematics 2018-11-27 Klebert Kentia , Christoph Kühn

Information-centric networking extensively uses universal in-network caching. However, developing an efficient and fair collaborative caching algorithm for selfish caches is still an open question. In addition, the communication overhead…

Networking and Internet Architecture · Computer Science 2017-05-03 Liang Wang , Gareth Tyson , Jussi Kangasharju , Jon Crowcroft

$\omega$-regular energy games, which are weighted two-player turn-based games with the quantitative objective to keep the energy levels non-negative, have been used in the context of verification and synthesis. The logic of modal…

Logic in Computer Science · Computer Science 2020-10-20 Gal Amram , Shahar Maoz , Or Pistiner , Jan Oliver Ringert

Decomposition, i.e. independently analyzing possible subgames, has proven to be an essential principle for effective decision-making in perfect information games. However, in imperfect information games, decomposition has proven to be…

Computer Science and Game Theory · Computer Science 2014-04-22 Neil Burch , Michael Johanson , Michael Bowling

Cloud computing is a newly emerging distributed system which is evolved from Grid computing. Task scheduling is the core research of cloud computing which studies how to allocate the tasks among the physical nodes, so that the tasks can get…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-21 Kai Li , Yong Wang , Meilin Liu

Algorithms for computing game-theoretic solutions have recently been applied to a number of security domains. However, many of the techniques developed for compact representations of security games do not extend to {\em Bayesian} security…

Computer Science and Game Theory · Computer Science 2016-04-19 Yuqian Li , Vincent Conitzer , Dmytro Korzhyk

An optimization of caching strategies is proposed as a formal approach allowing us a more efficient use of two-level computer memory. This approach is based on a set of mathematical models and a set of theorems, permitting analytical…

Optimization and Control · Mathematics 2007-05-23 V. O. Groppen

The framework of uncoupled online learning in multiplayer games has made significant progress in recent years. In particular, the development of time-varying games has considerably expanded its modeling capabilities. However, current regret…

Computer Science and Game Theory · Computer Science 2025-08-18 Aymeric Capitaine , Etienne Boursier , Eric Moulines , Michael I. Jordan , Alain Durmus