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相关论文: On Subgame Perfect Equilibria in Turn-Based Reacha…

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We study multiplayer quantitative reachability games played on a finite directed graph, where the objective of each player is to reach his target set of vertices as quickly as possible. Instead of the well-known notion of Nash equilibrium…

计算机科学与博弈论 · 计算机科学 2023-06-22 Thomas Brihaye , Véronique Bruyère , Aline Goeminne , Jean-François Raskin , Marie van den Bogaard

We study multiplayer reachability games played on a finite directed graph equipped with target sets, one for each player. In those reachability games, it is known that there always exists a Nash equilibrium (NE) and a subgame perfect…

计算机科学与博弈论 · 计算机科学 2019-07-15 Thomas Brihaye , Véronique Bruyère , Aline Goeminne , Nathan Thomasset

We study turn-based quantitative multiplayer non zero-sum games played on finite graphs with reachability objectives. In such games, each player aims at reaching his own goal set of states as soon as possible. A previous work on this model…

计算机科学与博弈论 · 计算机科学 2019-03-14 Thomas Brihaye , Véronique Bruyère , Julie De Pril , Hugo Gimbert

We study $n$-player turn-based games played on a finite directed graph. For each play, the players have to pay a cost that they want to minimize. Instead of the well-known notion of Nash equilibrium (NE), we focus on the notion of subgame…

计算机科学与博弈论 · 计算机科学 2015-04-13 Thomas Brihaye , Véronique Bruyère , Noémie Meunier , Jean-François Raskin

We establish that the subgame perfect equilibrium (SPE) threshold problem for mean-payoff games is NP-complete. While the SPE threshold problem was recently shown to be decidable (in doubly exponential time) and NP-hard, its exact worst…

计算机科学与博弈论 · 计算机科学 2022-04-26 Léonard Brice , Jean-François Raskin , Marie van den Bogaard

In this paper, we provide an effective characterization of all the subgame-perfect equilibria in infinite duration games played on finite graphs with mean-payoff objectives. To this end, we introduce the notion of requirement, and the…

计算机科学与博弈论 · 计算机科学 2024-02-14 Léonard Brice , Marie van den Bogaard , Jean-François Raskin

We introduce a notion of subgames for stochastic timing games and the related notion of subgame-perfect equilibrium in possibly mixed strategies. While a good notion of subgame-perfect equilibrium for continuous-time games is not available…

最优化与控制 · 数学 2018-05-23 Frank Riedel , Jan-Henrik Steg

We study multiplayer turn-based games played on a finite directed graph such that each player aims at satisfying an omega-regular Boolean objective. Instead of the well-known notions of Nash equilibrium (NE) and subgame perfect equilibrium…

计算机科学与博弈论 · 计算机科学 2018-09-12 Thomas Brihaye , Véronique Bruyère , Aline Goeminne , Jean-François Raskin

In this paper, we provide an effective characterization of all the subgame-perfect equilibria in infinite duration games played on finite graphs with mean-payoff objectives. To this end, we introduce the notion of requirement, and the…

计算机科学与博弈论 · 计算机科学 2022-04-22 Léonard Brice , Jean-François Raskin , Marie Van Den Bogaard

We study the complexity of problems related to subgame-perfect equilibria (SPEs) in infinite duration non zero-sum multiplayer games played on finite graphs with parity objectives. We present new complexity results that close gaps in the…

计算机科学与博弈论 · 计算机科学 2022-04-22 Léonard Brice , Marie van den Bogaard , Jean-François Raskin

We study multi-player turn-based games played on (potentially infinite) directed graphs. An outcome is assigned to every play of the game. Each player has a preference relation on the set of outcomes which allows him to compare plays. We…

计算机科学与博弈论 · 计算机科学 2017-10-06 Véronique Bruyère , Stéphane Le Roux , Arno Pauly , Jean-François Raskin

We study multiplayer turn-based games played on a finite directed graph such that each player aims at satisfying an omega-regular Boolean objective. Instead of the well-known notions of Nash equilibrium (NE) and subgame perfect equilibrium…

计算机科学与博弈论 · 计算机科学 2018-08-16 Thomas Brihaye , Véronique Bruyère , Aline Goeminne , Jean-François Raskin

We study multi-strategies in multiplayer reachability games played on finite graphs. A multi-strategy prescribes a set of possible actions, instead of a single action as usual strategies: it represents a set of all strategies that are…

计算机科学与博弈论 · 计算机科学 2024-11-21 Aline Goeminne , Benjamin Monmege

In this paper, we study turn-based quantitative multiplayer non zero-sum games played on finite graphs with both reachability and safety objectives. In this framework a player with a reachability objective aims at reaching his own goal as…

计算机科学与博弈论 · 计算机科学 2012-05-23 Thomas Brihaye , Véronique Bruyère , Julie De Pril

This paper presents a technique for approximating, up to any precision, the set of subgame-perfect equilibria (SPE) in discounted repeated games. The process starts with a single hypercube approximation of the set of SPE. Then the initial…

计算机科学与博弈论 · 计算机科学 2010-02-10 Andriy Burkov , Brahim Chaib-draa

Finite-horizon probabilistic multiagent concurrent game systems, also known as finite multiplayer stochastic games, are a well-studied model in computer science due to their ability to represent a wide range of real-world scenarios…

计算机科学与博弈论 · 计算机科学 2026-05-27 Senthil Rajasekaran , Moshe Y. Vardi

In a reachability-time game, players Min and Max choose moves so that the time to reach a final state in a timed automaton is minimised or maximised, respectively. Asarin and Maler showed decidability of reachability-time games on strongly…

计算复杂性 · 计算机科学 2020-01-16 Marcin Jurdziński , Ashutosh Trivedi

We study a decentralized matching market in which firms sequentially make offers to potential workers. For each offer, the worker can choose "accept" or "reject," but the decision is irrevocable. The acceptance of an offer guarantees her…

计算机科学与博弈论 · 计算机科学 2019-11-19 Yasushi Kawase , Yutaro Yamaguchi , Yu Yokoi

We consider a multi-player non-zero-sum turn-based game (abbreviated as multi-player game) on a finite directed graph. A secure equilibrium (SE) is a strategy profile in which no player has the incentive to deviate from the strategy because…

计算机科学与博弈论 · 计算机科学 2025-09-03 Hiroki Mizuno , Yoshiaki Takata , Hiroyuki Seki

Games on graphs provide a natural and powerful model for reactive systems. In this paper, we consider generalized reachability objectives, defined as conjunctions of reachability objectives. We first prove that deciding the winner in such…

计算复杂性 · 计算机科学 2012-02-06 Nathanaël Fijalkow , Florian Horn
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