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A supremum-of-quadratics representation for convex barrier-type constraints is developed and applied within the context of a class of continuous time state constrained linear regulator problems. Using this representation, it is shown that a…

Optimization and Control · Mathematics 2019-04-12 Peter M. Dower , William M. McEneaney , Michael Cantoni

We study natural strategic games on directed graphs, which capture the idea of coordination in the absence of globally common strategies. We show that these games do not need to have a pure Nash equilibrium and that the problem of…

Computer Science and Game Theory · Computer Science 2016-06-27 Krzysztof R. Apt , Sunil Simon , Dominik Wojtczak

The manual implementation of distributed systems is an error-prone task because of the asynchronous interplay of components and the environment. Bounded synthesis automatically generates an implementation for the specification of the…

Logic in Computer Science · Computer Science 2020-04-27 Jesko Hecking-Harbusch , Niklas O. Metzger

Weighted timed games are played by two players on a timed automaton equipped with weights: one player wants to minimise the accumulated weight while reaching a target, while the other has an opposite objective. Used in a reactive synthesis…

Computer Science and Game Theory · Computer Science 2017-02-01 Damien Busatto-Gaston , Benjamin Monmege , Pierre-Alain Reynier

We present a strong connection between quantum information and quantum permutation groups. Specifically, we define a notion of quantum isomorphisms of graphs based on quantum automorphisms from the theory of quantum groups, and then show…

Quantum Physics · Physics 2018-04-02 Martino Lupini , Laura Mančinska , David E. Roberson

We study strategic similarity of game positions in two-player extensive games of perfect information, by looking at the structure of their local game trees, with the aim of improving the performance of game playing agents in detecting…

Artificial Intelligence · Computer Science 2019-02-26 Sabrina Evans , Paolo Turrini

We consider two-player games played in real time on game structures with clocks where the objectives of players are described using parity conditions. The games are \emph{concurrent} in that at each turn, both players independently propose…

Logic in Computer Science · Computer Science 2019-03-14 Krishnendu Chatterjee , Thomas A. Henzinger , Vinayak S. Prabhu

In this work we propose a game theoretic model for document clustering. Each document to be clustered is represented as a player and each cluster as a strategy. The players receive a reward interacting with other players that they try to…

Artificial Intelligence · Computer Science 2017-04-07 Rocco Tripodi , Marcello Pelillo

Probabilistic game structures combine both nondeterminism and stochasticity, where players repeatedly take actions simultaneously to move to the next state of the concurrent game. Probabilistic alternating simulation is an important tool to…

Logic in Computer Science · Computer Science 2019-07-10 Chenyi Zhang , Jun Pang

Algorithmic content targeting homogenizes information, with implications for strategic interactions. For example, this increased homogenization was arguably responsible for the run on the Silicon Valley Bank. We argue that existing measures…

General Economics · Economics 2026-03-31 Deepal Basak , Joyee Deb , Aditya Kuvalekar

We study a game for recognising formal languages, in which two players with imperfect information need to coordinate on a common decision, given private input words correlated by a finite graph. The players have a joint objective to avoid…

Formal Languages and Automata Theory · Computer Science 2016-04-27 Dietmar Berwanger , Marie van den Bogaard

The use of game theoretic models has been quite successful in describing various cooperative and non-cooperative optimization problems in networks and other domains of computer systems. In this paper, we study an application of game…

Networking and Internet Architecture · Computer Science 2013-05-16 Sandip Chakraborty , Soumyadip Majumder , Diganta Goswami

Coalitions naturally exist in many real-world systems involving multiple decision makers such as ridesharing, security, and online ad auctions, but the coalition structure among the agents is often unknown. We propose and study an important…

Computer Science and Game Theory · Computer Science 2023-12-20 Yixuan Even Xu , Chun Kai Ling , Fei Fang

Infinitely repeated games can support cooperative outcomes that are not equilibria in the one-shot game. The idea is to make sure that any gains from deviating will be offset by retaliation in future rounds. However, this model of…

Computer Science and Game Theory · Computer Science 2024-06-04 Ratip Emin Berker , Vincent Conitzer

Probabilistic concurrent/distributed strategies have so far not been investigated thoroughly in the context of imperfect information, where the Player has only partial knowledge of the moves made by the Opponent. In a situation where the…

Computer Science and Game Theory · Computer Science 2024-02-08 Sacha Huriot-Tattegrain , Glynn Winskel

Differential game logic (dGL) is a logic for specifying and verifying properties of hybrid games, i.e. games that combine discrete, continuous, and adversarial dynamics. Unlike hybrid systems, hybrid games allow choices in the system…

Logic in Computer Science · Computer Science 2015-11-20 André Platzer

Priced timed games are two-player zero-sum games played on priced timed automata (whose locations and transitions are labeled by weights modeling the costs of spending time in a state and executing an action, respectively). The goals of the…

Computer Science and Game Theory · Computer Science 2017-04-05 Thomas Brihaye , Gilles Geeraerts , Axel Haddad , Engel Lefaucheux , Benjamin Monmege

Decision making in modern large-scale and complex systems such as communication networks, smart electricity grids, and cyber-physical systems motivate novel game-theoretic approaches. This paper investigates big strategic (non-cooperative)…

Computer Science and Game Theory · Computer Science 2016-09-22 Tansu Alpcan , Benjamin I. P. Rubinstein , Christopher Leckie

In this paper we investigate a differential game in which countably many dynamical objects pursue a single one. All the players perform simple motions. The duration of the game is fixed. The controls of a group of pursuers are subject to…

Optimization and Control · Mathematics 2014-10-10 Mehdi Salimi , Gafurjan Ibragimov , Stefan Siegmund , Somayeh Sharifi

A framework for discussing relationships between different types of games is proposed. Within the framework, quantum simultaneous games, finite quantum simultaneous games, quantum sequential games, and finite quantum sequential games are…

Quantum Physics · Physics 2007-11-06 Naoki Kobayashi
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