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There have been two major lines of research aimed at capturing resource-bounded players in game theory. The first, initiated by Rubinstein, charges an agent for doing costly computation; the second, initiated by Neyman, does not charge for…

Computer Science and Game Theory · Computer Science 2013-08-20 Joseph Y. Halpern , Rafael Pass , Lior Seeman

Combinatorial games lead to several interesting, clean problems in algorithms and complexity theory, many of which remain open. The purpose of this paper is to provide an overview of the area to encourage further research. In particular, we…

Computational Complexity · Computer Science 2009-09-25 Erik D. Demaine , Robert A. Hearn

We study the following refinement relation between nondeterministic state-transition models: model B strategically dominates model A iff every deterministic refinement of A is language contained in some deterministic refinement of B. While…

Logic in Computer Science · Computer Science 2024-07-16 Thomas A. Henzinger , Nicolas Mazzocchi , N. Ege Saraç

Probabilistic cellular automata with deterministic updating are quantum systems. We employ the quantum formalism for an investigation of random probabilistic cellular automata, which start with a probability distribution over initial…

Quantum Physics · Physics 2024-05-17 A. Kreuzkamp , C. Wetterich

This paper describes an algorithm for selecting a consistent set within the consistent histories approach to quantum mechanics and investigates its properties. The algorithm select from among the consistent sets formed by projections…

Quantum Physics · Physics 2007-05-23 Jim McElwaine

Mean-payoff games on timed automata are played on the infinite weighted graph of configurations of priced timed automata between two players, Player Min and Player Max, by moving a token along the states of the graph to form an infinite…

Computer Science and Game Theory · Computer Science 2020-01-16 Shibashis Guha , Marcin Jurdzinski , Krishna S. , Ashutosh Trivedi

In the naming game, individuals or agents exchange pairwise local information in order to communicate about objects in their common environment. The goal of the game is to reach a consensus about naming these objects. Originally used to…

Multiagent Systems · Computer Science 2009-12-24 Reginaldo J. da Silva Filho , Matthias R. Brust , Carlos H. C. Ribeiro

We consider concurrent games played by two-players on a finite-state graph, where in every round the players simultaneously choose a move, and the current state along with the joint moves determine the successor state. We study a…

Computer Science and Game Theory · Computer Science 2014-09-19 Krishnendu Chatterjee , Rasmus Ibsen-Jensen

We provide a unifying approximate dynamic programming framework that applies to a broad variety of problems involving sequential estimation. We consider first the construction of surrogate cost functions for the purposes of optimization,…

Artificial Intelligence · Computer Science 2023-01-02 Dimitri Bertsekas

We show that it is decidable whether two regular languages of infinite trees are separable by a deterministic language, resp., a game language. We consider two variants of separability, depending on whether the set of priorities of the…

Formal Languages and Automata Theory · Computer Science 2021-05-05 Lorenzo Clemente , Michał Skrzypczak

We study explorability, a measure of nondeterminism in pushdown automata, which generalises history-determinism. An automaton is k-explorable if, while reading the input, it suffices to follow k concurrent runs, built step-by-step based…

Formal Languages and Automata Theory · Computer Science 2025-11-07 Ayaan Bedi , Karoliina Lehtinen

As automated decision making and decision assistance systems become common in everyday life, research on the prevention or mitigation of potential harms that arise from decisions made by these systems has proliferated. However, various…

Computers and Society · Computer Science 2023-01-18 Samer B. Nashed , Justin Svegliato , Su Lin Blodgett

Nondeterministic weighted automata are finite automata with numerical weights on transitions. They define quantitative languages L that assign to each word w a real number L(w). The value of an infinite word w is computed as the maximal…

Logic in Computer Science · Computer Science 2009-09-10 Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger

Scheduling on related machines ($Q||C_{\max}$) is one of the most important problems in the field of Algorithmic Mechanism Design. Each machine is controlled by a selfish agent and her valuation can be expressed via a single parameter, her…

Computer Science and Game Theory · Computer Science 2009-07-20 George Christodoulou , Annamaria Kovacs

We propose an algorithm for schema-based determinization of finite automata on words and of step-wise hedge automata on nested words. The idea is to integrate schema-based cleaning directly into automata determinization. We prove the…

Formal Languages and Automata Theory · Computer Science 2022-09-22 Joachim Niehren , Momar Sakho , Antonio Al Serhali

Variational inequalities are a formalism that includes games, minimization, saddle point, and equilibrium problems as special cases. Methods for variational inequalities are therefore universal approaches for many applied tasks, including…

Understanding the properties of games played under computational constraints remains challenging. For example, how do we expect rational (but computationally bounded) players to play games with a prohibitively large number of states, such…

Computer Science and Game Theory · Computer Science 2021-05-20 Thomas Orton

This dissertation highlights connections between the fields of neural networks, game theory and time series generation. The concept of antipredictability is explained, and the properties of time series that are antipredictable for several…

Disordered Systems and Neural Networks · Physics 2007-05-23 Richard Metzler

This article extends the idea of solving parity games by strategy iteration to non-deterministic strategies: In a non-deterministic strategy a player restricts himself to some non-empty subset of possible actions at a given node, instead of…

Computer Science and Game Theory · Computer Science 2012-03-20 Michael Luttenberger

Researchers have explored the performance of Iterated Prisoner's Dilemma strategies for decades, from the celebrated performance of Tit for Tat to the introduction of the zero-determinant strategies and the use of sophisticated learning…

Computer Science and Game Theory · Computer Science 2024-01-25 Nikoleta E. Glynatsi , Vincent Knight , Marc Harper
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