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We present a causality-based algorithm for solving two-player reachability games represented by logical constraints. These games are a useful formalism to model a wide array of problems arising, e.g., in program synthesis. Our technique for…

Logic in Computer Science · Computer Science 2021-06-01 Christel Baier , Norine Coenen , Bernd Finkbeiner , Florian Funke , Simon Jantsch , Julian Siber

We consider concurrent games played on graphs. At every round of the game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety…

Computer Science and Game Theory · Computer Science 2008-12-18 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

In a streaming constraint satisfaction problem (streaming CSP), a $p$-pass algorithm receives the constraints of an instance sequentially, making $p$ passes over the input in a fixed order, with the goal of approximating the maximum…

Computational Complexity · Computer Science 2026-04-06 Yumou Fei , Dor Minzer , Shuo Wang

We introduce Contested Logistics Games, a variant of logistics problems that account for the presence of an adversary that can disrupt the movement of goods in selected areas. We model this as a large two-player zero-sum one-shot game…

Computer Science and Game Theory · Computer Science 2024-08-26 Jakub Cerny , Chun Kai Ling , Darshan Chakrabarti , Jingwen Zhang , Gabriele Farina , Christian Kroer , Garud Iyengar

We study two player reachability-price games on single-clock timed automata. The problem is as follows: given a state of the automaton, determine whether the first player can guarantee reaching one of the designated goal locations. If a…

Computer Science and Game Theory · Computer Science 2011-07-07 Michal Rutkowski

We consider the problem of computing stationary points in min-max optimization, with a particular focus on the special case of computing Nash equilibria in (two-)team zero-sum games. We first show that computing $\epsilon$-Nash equilibria…

Computer Science and Game Theory · Computer Science 2025-10-21 Ioannis Anagnostides , Ioannis Panageas , Tuomas Sandholm , Jingming Yan

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

We consider an autonomous navigation problem, whereby a traveler aims at traversing an environment in which an adversary tries to set an ambush. A two players zero sum game is introduced. Players' strategies are computed as random path…

Robotics · Computer Science 2016-12-08 Emmanuel Boidot , Aude Marzuoli , Eric Feron

We study the existence of optimal actions in a zero-sum game $\inf_{\tau}\sup_PE^P[X_{\tau}]$ between a stopper and a controller choosing a probability measure. This includes the optimal stopping problem $\inf_{\tau}\mathcal{E}(X_{\tau})$…

Optimization and Control · Mathematics 2015-09-10 Marcel Nutz , Jianfeng Zhang

We investigate optimal decision making under imperfect recall, that is, when an agent forgets information it once held before. An example is the absentminded driver game, as well as team games in which the members have limited communication…

Computer Science and Game Theory · Computer Science 2024-06-25 Emanuel Tewolde , Brian Hu Zhang , Caspar Oesterheld , Manolis Zampetakis , Tuomas Sandholm , Paul W. Goldberg , Vincent Conitzer

We revisit a classical problem in transportation, known as the continuous (bilevel) network design problem, CNDP for short. We are given a graph for which the latency of each edge depends on the ratio of the edge flow and the capacity…

Computer Science and Game Theory · Computer Science 2013-11-13 Martin Gairing , Tobias Harks , Max Klimm

This work presents solutions to the Traveling Salesperson Problem with precedence constraints (TSPPC) using Deep Reinforcement Learning (DRL) by adapting recent approaches that work well for regular TSPs. Common to these approaches is the…

Machine Learning · Computer Science 2022-09-20 Christian Löwens , Inaam Ashraf , Alexander Gembus , Genesis Cuizon , Jonas K. Falkner , Lars Schmidt-Thieme

This paper develops a unified framework for zero-sum games in which both the pure strategies and the payoff matrices contain complex-valued entries. By leveraging a linear isomorphism between complex and real vector spaces, we extend key…

General Mathematics · Mathematics 2026-05-21 Raneem Madani , Abdel Lisser , Zeno Toffano

Combinatorial optimization algorithms for graph problems are usually designed afresh for each new problem with careful attention by an expert to the problem structure. In this work, we develop a new framework to solve any combinatorial…

We consider an optimization problem posed by an actual newspaper company, which consists of computing a minimum length route for a delivery truck, such that the driver only stops at street crossings, each time delivering copies to all…

Data Structures and Algorithms · Computer Science 2019-01-29 Diego Delle Donne , Guido Tagliavini

The development of autonomous vehicles has shown great potential to enhance the efficiency and safety of transportation systems. However, the decision-making issue in complex human-machine mixed traffic scenarios, such as unsignalized…

Robotics · Computer Science 2024-09-10 Jiaqi Liu , Peng Hang , Xiaoxiang Na , Chao Huang , Jian Sun

We consider the Dynamic Map Visitation Problem (DMVP), in which a team of agents must visit a collection of critical locations as quickly as possible, in an environment that may change rapidly and unpredictably during the agents'…

Computational Complexity · Computer Science 2014-07-29 Eric Aaron , Danny Krizanc , Elliot Meyerson

Congestion games constitute an important class of games in which computing an exact or even approximate pure Nash equilibrium is in general {\sf PLS}-complete. We present a surprisingly simple polynomial-time algorithm that computes…

Computer Science and Game Theory · Computer Science 2011-07-14 Ioannis Caragiannis , Angelo Fanelli , Nick Gravin , Alexander Skopalik

For effective matching of resources (e.g., taxis, food, bikes, shopping items) to customer demand, aggregation systems have been extremely successful. In aggregation systems, a central entity (e.g., Uber, Food Panda, Ofo) aggregates supply…

Machine Learning · Computer Science 2020-03-17 Tanvi Verma , Pradeep Varakantham

This paper discusses the problem of efficiently solving parity games where player Odd has to obey an additional 'strong transition fairness constraint' on its vertices -- given that a player Odd vertex $v$ is visited infinitely often, a…

Computer Science and Game Theory · Computer Science 2023-10-24 Irmak Sağlam , Anne-Kathrin Schmuck
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