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Related papers: Mean-payoff and Energy Discrete Bidding Games

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In a two-player zero-sum graph game, the players move a token throughout a graph to produce an infinite play, which determines the winner of the game. Bidding games are graph games in which in each turn, an auction (bidding) determines…

Formal Languages and Automata Theory · Computer Science 2025-07-02 Guy Avni , Suman Sadhukhan

We consider {\em bidding games}, a class of two-player zero-sum {\em graph games}. The game proceeds as follows. Both players have bounded budgets. A token is placed on a vertex of a graph, in each turn the players simultaneously submit…

Computer Science and Game Theory · Computer Science 2023-07-31 Guy Avni , Tobias Meggendorfer , Suman Sadhukhan , Josef Tkadlec , Đorđe Žikelić

Two-player games on graphs are widely studied in formal methods as they model the interaction between a system and its environment. The game is played by moving a token throughout a graph to produce an infinite path. There are several…

Logic in Computer Science · Computer Science 2019-06-10 Guy Avni , Thomas A. Henzinger , Ventsislav Chonev

In two-player games on graphs, the players move a token through a graph to produce an infinite path, which determines the winner of the game. Such games are central in formal methods since they model the interaction between a…

Computer Science and Game Theory · Computer Science 2023-06-22 Milad Aghajohari , Guy Avni , Thomas A. Henzinger

Two-player zero-sum "graph games" are a central model, which proceeds as follows. A token is placed on a vertex of a graph, and the two players move it to produce an infinite "play", which determines the winner or payoff of the game.…

Computer Science and Game Theory · Computer Science 2022-11-28 Guy Avni , Ismael Jecker , Djordje Zikelic

In a two-player zero-sum graph game the players move a token throughout a graph to produce an infinite path, which determines the winner or payoff of the game. Traditionally, the players alternate turns in moving the token. In {\em bidding…

Theoretical Economics · Economics 2020-12-22 Guy Avni , Ismaël Jecker , Đorđe Žikelić

In two-player games on graphs, the players move a token through a graph to produce an infinite path, which determines the winner or payoff of the game. We study {\em bidding games} in which the players bid for the right to move the token.…

Computer Science and Game Theory · Computer Science 2019-05-13 Guy Avni , Thomas A. Henzinger , Đorđe Žikelić

Graph games lie at the algorithmic core of many automated design problems in computer science. These are games usually played between two players on a given graph, where the players keep moving a token along the edges according to…

Computer Science and Game Theory · Computer Science 2024-07-10 Guy Avni , Ehsan Kafshdar Goharshady , Thomas A. Henzinger , Kaushik Mallik

In two-player games on graphs, the players move a token through a graph to produce an infinite path, which determines the winner or payoff of the game. Such games are central in formal verification since they model the interaction between a…

Computer Science and Game Theory · Computer Science 2020-01-28 Guy Avni , Thomas A. Henzinger , Rasmus Ibsen-Jensen

In mean-payoff games, the objective of the protagonist is to ensure that the limit average of an infinite sequence of numeric weights is nonnegative. In energy games, the objective is to ensure that the running sum of weights is always…

Computer Science and Game Theory · Computer Science 2012-09-17 Yaron Velner , Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger , Alexander Rabinovich , Jean-Francois Raskin

In this paper, we study one-player and two-player energy mean-payoff games. Energy mean-payoff games are games of infinite duration played on a finite graph with edges labeled by 2-dimensional weight vectors. The objective of the first…

Computer Science and Game Theory · Computer Science 2019-07-03 Véronique Bruyère , Quentin Hautem , Mickael Randour , Jean-François Raskin

In mean-payoff games, the objective of the protagonist is to ensure that the limit average of an infinite sequence of numeric weights is nonnegative. In energy games, the objective is to ensure that the running sum of weights is always…

Logic in Computer Science · Computer Science 2010-10-05 Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger , Jean-Francois Raskin

An active line of research has considered games played on networks in which payoffs depend on both a player's individual decision and also the decisions of her neighbors. Such games have been used to model issues including the formation of…

Computer Science and Game Theory · Computer Science 2013-05-01 Flavio Chierichetti , Jon Kleinberg , Sigal Oren

Two-player graph games are a fundamental model for reasoning about the interaction of agents. These games are played between two players who move a token along a graph. In bidding games, the players have some monetary budget, and at each…

Computer Science and Game Theory · Computer Science 2024-12-24 Shaull Almagor , Guy Avni , Neta Dafni

Richman games are zero-sum games, where in each turn players bid in order to determine who will play next [Lazarus et al.'99]. We extend the theory to impartial general-sum two player games called \emph{bidding games}, showing the existence…

Computer Science and Game Theory · Computer Science 2018-08-13 Gil Kalai , Reshef Meir , Moshe Tennenholtz

Mean-payoff games on timed automata are played on the infinite weighted graph of configurations of priced timed automata between two players, Player Min and Player Max, by moving a token along the states of the graph to form an infinite…

Computer Science and Game Theory · Computer Science 2020-01-16 Shibashis Guha , Marcin Jurdzinski , Krishna S. , Ashutosh Trivedi

In this paper we introduce and study {\em all-pay bidding games}, a class of two player, zero-sum games on graphs. The game proceeds as follows. We place a token on some vertex in the graph and assign budgets to the two players. Each turn,…

Computer Science and Game Theory · Computer Science 2019-11-20 Guy Avni , Rasmus Ibsen-Jensen , Josef Tkadlec

Graph games are fundamental in strategic reasoning of multi-agent systems and their environments. We study a new family of graph games which combine stochastic environmental uncertainties and auction-based interactions among the agents,…

Computer Science and Game Theory · Computer Science 2024-12-30 Guy Avni , Martin Kurečka , Kaushik Mallik , Petr Novotný , Suman Sadhukhan

We consider average-energy games, where the goal is to minimize the long-run average of the accumulated energy. While several results have been obtained on these games recently, decidability of average-energy games with a lower-bound…

Logic in Computer Science · Computer Science 2017-01-16 Patricia Bouyer , Piotr Hofman , Nicolas Markey , Mickael Randour , Martin Zimmermann

We introduce the concept of budget games. Players choose a set of tasks and each task has a certain demand on every resource in the game. Each resource has a budget. If the budget is not enough to satisfy the sum of all demands, it has to…

Computer Science and Game Theory · Computer Science 2014-07-14 Maximilian Drees , Sören Riechers , Alexander Skopalik
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