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This paper extends Berge's maximum theorem for possibly noncompact action sets and unbounded cost functions to minimax problems and studies applications of these extensions to two-player zero-sum games with possibly noncompact action sets…

最优化与控制 · 数学 2017-09-14 Eugene A. Feinberg , Pavlo O. Kasyanov , Michael Z. Zgurovsky

We consider finite-state concurrent stochastic games, played by k>=2 players for an infinite number of rounds, where in every round, each player simultaneously and independently of the other players chooses an action, whereafter the…

计算机科学与博弈论 · 计算机科学 2015-06-09 Krishnendu Chatterjee , Kristoffer Arnsfelt Hansen , Rasmus Ibsen-Jensen

Temporal graphs extend ordinary graphs with discrete time that affects the availability of edges. We consider solving games played on temporal graphs where one player aims to explore the graph, i.e., visit all vertices. The complexity…

计算机科学与博弈论 · 计算机科学 2025-06-16 Pete Austin , Nicolas Mazzocchi , Sougata Bose , Patrick Totzke

Cooperation through repetition is an important theme in game theory. In this regard, various celebrated ``folk theorems'' have been proposed for repeated games in increasingly more complex environments. There has, however, been insufficient…

理论经济学 · 经济学 2024-02-16 Richard McLean , Ichiro Obara , Andrew Postlewaite

We study a network congestion game of discrete-time dynamic traffic of atomic agents with a single origin-destination pair. Any agent freely makes a dynamic decision at each vertex (e.g., road crossing) and traffic is regulated with given…

计算机科学与博弈论 · 计算机科学 2017-05-05 Zhigang Cao , Bo Chen , Xujin Chen , Changjun Wang

This paper proposes the notion of robust PBE in a general competing mechanism game of incomplete information where a mechanism allows its designer to send a message to himself at the same time agents send messages. It identifies the utility…

理论经济学 · 经济学 2023-08-21 Seungjin Han

We consider imperfect information stochastic games where we require the players to use pure (i.e. non randomised) strategies. We consider reachability, safety, B\"uchi and co-B\"uchi objectives, and investigate the existence of…

形式语言与自动机理论 · 计算机科学 2018-03-28 Arnaud Carayol , Christof Löding , Olivier Serre

We consider a dynamical approach to game in extensive forms. By restricting the convertibility relation over strategy profiles, we obtain a semi-potential (in the sense of Kukushkin), and we show that in finite games the corresponding…

计算机科学与博弈论 · 计算机科学 2017-04-05 Stéphane Le Roux , Arno Pauly

We consider games played on the transition graph of concurrent programs running under the Total Store Order (TSO) weak memory model. Games are frequently used to model the interaction between a system and its environment, in this case…

计算机科学中的逻辑 · 计算机科学 2024-11-05 Stephan Spengler

We propose a finite automaton-style solution concept for supergames. In our model, we define an equilibrium to be a cycle of state switches and a supergame to be an infinite walk on states of a finite stage game. We show that if the stage…

理论经济学 · 经济学 2022-05-30 Davidson Cheng

A major open question in algorithmic game theory is whether normal-form correlated equilibria (NFCE) can be computed efficiently in succinct games such as extensive-form games [DFF+25,6PR24,FP23,HvS08,VSF08,PR08]. Motivated by this…

计算机科学与博弈论 · 计算机科学 2025-07-16 Vincent Cheval , Florian Horn , Soumyajit Paul , Mahsa Shirmohammadi

Probabilistic model checking for stochastic games enables formal verification of systems that comprise competing or collaborating entities operating in a stochastic environment. Despite good progress in the area, existing approaches focus…

计算机科学中的逻辑 · 计算机科学 2019-07-09 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

We study the complexity of solving two-player infinite duration games played on a fixed finite graph, where the control of a node is not predetermined but rather assigned randomly. In classic random-turn games, control of each node is…

计算机科学与博弈论 · 计算机科学 2026-01-13 Sarvin Bahmani , Rasmus Ibsen-Jensen , Soumyajit Paul , Sven Schewe , Friedrich Slivovsky , Qiyi Tang , Dominik Wojtczak , Shufang Zhu

We propose a general class of symmetric games called position-optimization games. Given a probability distribution $Q$ over a set of targets $\mathcal{Y}$, the $n$ players each choose a position in a space $\mathcal{X}$. A player's utility…

计算机科学与博弈论 · 计算机科学 2026-02-18 Rafael Frongillo , Melody Hsu , Mary Monroe , Anish Thilagar

We introduce a new approach for computing optimal equilibria via learning in games. It applies to extensive-form settings with any number of players, including mechanism design, information design, and solution concepts such as correlated,…

We study \emph{partial-information} two-player turn-based games on graphs with omega-regular objectives, when the partial-information player has \emph{limited memory}. Such games are a natural formalization for reactive synthesis when the…

形式语言与自动机理论 · 计算机科学 2020-02-19 Dhananjay Raju , Rüdiger Ehlers , Ufuk Topcu

This paper studies the equilibrium properties of the ``obvious strategy profile'' in large finite-player games. Each player in such a strategy profile simply adopts a randomized strategy as she would have used in a symmetric equilibrium of…

理论经济学 · 经济学 2025-08-20 Enxian Chen Bin Wu Hanping Xu

Equilibrium refinements are important in extensive-form (i.e., tree-form) games, where they amend weaknesses of the Nash equilibrium concept by requiring sequential rationality and other beneficial properties. One of the most attractive…

计算机科学与博弈论 · 计算机科学 2018-11-12 Alberto Marchesi , Gabriele Farina , Christian Kroer , Nicola Gatti , Tuomas Sandholm

Robust self-testing in non-local games allows a classical referee to certify that two untrustworthy players are able to perform a specific quantum strategy up to high precision. Proving robust self-testing results becomes significantly…

量子物理 · 物理学 2025-05-12 Matthijs Vernooij , Yuming Zhao

In this paper we study continuous-time two-player zero-sum optimal switching games on a finite horizon. Using the theory of doubly reflected BSDEs with interconnected barriers, we show that this game has a value and an equilibrium in the…

最优化与控制 · 数学 2018-06-04 Said Hamadène , Randall Martyr , John Moriarty