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We consider a class of Nash games, termed as aggregative games, being played over a networked system. In an aggregative game, a player's objective is a function of the aggregate of all the players' decisions. Every player maintains an…

Optimization and Control · Mathematics 2016-06-10 Jayash Koshal , Angelia Nedić , Uday V. Shanbhag

Among fundamental problems in the context of distributed computing by autonomous mobile entities, one of the most representative and well studied is {\sc Point Convergence}: given an arbitrary initial configuration of identical entities,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-28 David Kirkpatrick , Irina Kostitsyna , Alfredo Navarra , Giuseppe Prencipe , Nicola Santoro

Reachability is the problem of deciding whether there is a path from one vertex to the other in the graph. Standard graph traversal algorithms such as DFS and BFS take linear time to decide reachability however their space complexity is…

Computational Complexity · Computer Science 2019-02-06 Rahul Jain , Raghunath Tewari

This paper studies a large class of two-player perfect-information turn-based parity games on infinite graphs, namely those generated by collapsible pushdown automata. The main motivation for studying these games comes from the connections…

Formal Languages and Automata Theory · Computer Science 2020-10-14 Christopher H. Broadbent , Arnaud Carayol , Matthew Hague , Andrzej S. Murawski , C. -H. Luke Ong , Olivier Serre

Repeated game has long been the touchstone model for agents' long-run relationships. Previous results suggest that it is particularly difficult for a repeated game player to exert an autocratic control on the payoffs since they are jointly…

Computer Science and Game Theory · Computer Science 2018-07-19 Dong Hao , Kai Li , Tao Zhou

We study a generalisation of B\"uchi-Landweber games to the timed setting. The winning condition is specified by a non-deterministic timed automaton with epsilon transitions and only Player I can elapse time. We show that for fixed number…

Formal Languages and Automata Theory · Computer Science 2020-04-28 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

We consider the problem of distributed convergence to efficient outcomes in coordination games through dynamics based on aspiration learning. Under aspiration learning, a player continues to play an action as long as the rewards received…

Computer Science and Game Theory · Computer Science 2019-03-20 Georgios C. Chasparis , Ari Arapostathis , Jeff S. Shamma

We propose a method to construct finite-state reactive controllers for systems whose interactions with their adversarial environment are modeled by infinite-duration two-player games over (possibly) infinite graphs. The proposed method…

Formal Languages and Automata Theory · Computer Science 2016-01-08 Daniel Neider , Ufuk Topcu

We study verification problems for history-constrained systems (HCS), a model of guarded computation that uses nested systems. An outer system describes the process architecture in which a sequence of actions represents the communication…

Formal Languages and Automata Theory · Computer Science 2026-02-23 Louwe B. Kuijer , David Purser , Henry Sinclair-Banks , Patrick Totzke

We consider the classical problem of making mobile processes gather or converge at a same position (as performed by swarms of animals in Nature). Existing works assume that each process can see all other processes, or all processes within a…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-17 Rachid Guerraoui , Alexandre Maurer

We characterize all common notions of behavioral equivalence by one 6-dimensional energy game, where energies bound capabilities of an attacker trying to tell processes apart. The defender-winning initial credits exhaustively determine…

Data Structures and Algorithms · Computer Science 2023-07-21 Benjamin Bisping

We integrate dual-process theories of human cognition with evolutionary game theory to study the evolution of automatic and controlled decision-making processes. We introduce a model where agents who make decisions using either automatic or…

Dynamical Systems · Mathematics 2015-07-07 Danielle F. P. Toupo , Steven H. Strogatz , Jonathan D. Cohen , David G. Rand

Often adaptive, distributed control can be viewed as an iterated game between independent players. The coupling between the players' mixed strategies, arising as the system evolves from one instant to the next, is determined by the system…

Multiagent Systems · Computer Science 2007-05-23 David H. Wolpert , Stefan Bieniawski

The model of asynchronous programming arises in many contexts, from low-level systems software to high-level web programming. We take a language-theoretic perspective and show general decidability and undecidability results for asynchronous…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

In the recently introduced topological distance games, strategic agents need to be assigned to a subset of vertices of a topology. In the assignment, the utility of an agent depends on both the agent's inherent utilities for other agents…

Computer Science and Game Theory · Computer Science 2024-04-23 Argyrios Deligkas , Eduard Eiben , Dušan Knop , Šimon Schierreich

Safe and economic operation of networked systems is often challenging. Optimization-based schemes are frequently considered, since they achieve near-optimality while ensuring safety via the explicit consideration of constraints. In…

Optimization and Control · Mathematics 2024-01-30 Alexander Engelmann , Maisa B. Bandeira , Timm Faulwasser

We study reachability games on recursive timed automata (RTA) that generalize Alur-Dill timed automata with recursive procedure invocation mechanism similar to recursive state machines. It is known that deciding the winner in reachability…

Formal Languages and Automata Theory · Computer Science 2014-08-27 Shankara Narayanan Krishna , Lakshmi Manasa , Ashutosh Trivedi

A cellular automaton is a parallel synchronous computing model, which consists in a juxtaposition of finite automata whose state evolves according to that of their neighbors. It induces a dynamical system on the set of configurations, i.e.…

Discrete Mathematics · Computer Science 2011-08-25 Pierre Guillon , Gaétan Richard

The parity index problem of tree automata asks, given a regular tree language $L$ and a set of priorities $J$, is $L$ $J$-feasible, that is, recognised by a nondeterministic parity automaton with priorities $J$? This is a long-standing open…

Formal Languages and Automata Theory · Computer Science 2025-04-30 Olivier Idir , Karoliina Lehtinen

Numerous computer systems use dynamic control and data structures of unbounded size. These data structures have often the character of trees or they can be encoded as trees with some additional pointers. This is exploited by some currently…

Formal Languages and Automata Theory · Computer Science 2012-04-17 Ondřej Lengál