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Iterated coopetitive games capture the situation when one must efficiently balance between cooperation and competition with the other agents over time in order to win the game (e.g., to become the player with highest total utility).…

Computer Science and Game Theory · Computer Science 2022-03-11 Shivakumar Mahesh , Nicholas Bishop , Le Cong Dinh , Long Tran-Thanh

We study two-player multi-weighted reachability games played on a finite directed graph, where an agent, called P1, has several quantitative reachability objectives that he wants to optimize against an antagonistic environment, called P2.…

Computer Science and Game Theory · Computer Science 2025-09-08 Thomas Brihaye , Aline Goeminne

Using coalgebraic methods, we extend Conway's theory of games to possibly non-terminating, i.e. non-wellfounded games (hypergames). We take the view that a play which goes on forever is a draw, and hence rather than focussing on winning…

Logic in Computer Science · Computer Science 2015-07-01 Furio Honsell , Marina Lenisa

We provide a generic decision procedure for energy games with energy-bounded attacker and reachability objective, moving beyond vector-valued energies and vector-addition updates. All we demand is that energies form well-founded bounded…

Logic in Computer Science · Computer Science 2025-05-22 Caroline Lemke , Benjamin Bisping

Classical reactive synthesis approaches aim to synthesize a reactive system that always satisfies a given specifications. These approaches often reduce to playing a two-player zero-sum game where the goal is to synthesize a winning…

Computer Science and Game Theory · Computer Science 2025-06-09 Karan Muvvala , Qi Heng Ho , Morteza Lahijanian

In this paper, I apply linguistic methods of analysis to non-linguistic data, chess plays, metaphorically equating one with the other and seeking analogies. Chess game notations are also a kind of text, and one can consider the records of…

Computation and Language · Computer Science 2024-07-30 Boris Orekhov

We consider a sub-class of bi-matrix games which we refer to as two-person (hereafter referred to as two-player) additively-separable sum (TPASS) games, where the sum of the pay-offs of the two players is additively separable. The row…

Optimization and Control · Mathematics 2025-11-03 Somdeb Lahiri

Priced timed games are optimal-cost reachability games played between two players---the controller and the environment---by moving a token along the edges of infinite graphs of configurations of priced timed automata. The goal of the…

Logic in Computer Science · Computer Science 2015-07-22 Shibashis Guha , Shankara Narayanan Krishna , Lakshmi Manasa , Ashutosh Trivedi

We consider zero-sum games on infinite graphs, with objectives specified as sets of infinite words over some alphabet of colors. A well-studied class of objectives is the one of $\omega$-regular objectives, due to its relation to many…

Computer Science and Game Theory · Computer Science 2023-06-22 Patricia Bouyer , Mickael Randour , Pierre Vandenhove

We characterize countable dimensionality and strong countable dimensionality by means of an infinite game.

General Topology · Mathematics 2007-09-19 Liljana Babinkostova , Marion Scheepers

Two intimately related new classes of games are introduced and studied: entropy games (EGs) and matrix multiplication games (MMGs). An EG is played on a finite arena by two-and-a-half players: Despot, Tribune and the non-deterministic…

Computer Science and Game Theory · Computer Science 2015-12-22 Eugene Asarin , Julien Cervelle , Aldric Degorre , Catalin Dima , Florian Horn , Victor Kozyakin

This work lies in the fusion of experimental economics and data mining. It continues author's previous work on mining behaviour rules of human subjects from experimental data, where game-theoretic predictions partially fail to work.…

Computer Science and Game Theory · Computer Science 2012-11-13 Rustam Tagiew

Mertens [In Proceedings of the International Congress of Mathematicians (Berkeley, Calif., 1986) (1987) 1528-1577 Amer. Math. Soc.] proposed two general conjectures about repeated games: the first one is that, in any two-person zero-sum…

Optimization and Control · Mathematics 2016-03-16 Bruno Ziliotto

We study two-player games with counters, where the objective of the first player is that the counter values remain bounded. We investigate the existence of a trade-off between the size of the memory and the bound achieved on the counters,…

Formal Languages and Automata Theory · Computer Science 2017-09-12 Nathanaël Fijalkow , Florian Horn , Denis Kuperberg , Michał Skrzypczak

In this paper, we navigate the intricate domain of reviewer rewards in open-access academic publishing, leveraging the precision of mathematics and the strategic acumen of game theory. We conceptualize the prevailing voucher-based reviewer…

Artificial Intelligence · Computer Science 2023-05-23 Minhyeok Lee

Zeckendorf proved that every positive integer $n$ can be written uniquely as the sum of non-adjacent Fibonacci numbers; a similar result, though with a different notion of a legal decomposition, holds for many other sequences. We use these…

Number Theory · Mathematics 2018-09-17 Paul Baird-Smith , Alyssa Epstein , Kristen Flint , Steven J. Miller

We present a new approach to solving games with a countably or uncountably infinite number of players. Such games are often used to model multiagent systems with a large number of agents. The latter are frequently encountered in economics,…

Computer Science and Game Theory · Computer Science 2025-01-17 Carlos Martin , Tuomas Sandholm

We show that the following problem is EXP-complete: given a rational v and a two player, zero-sum Boolean game G determine whether the value of G is at least v. The proof is via a translation of the proof of the same result for Boolean…

Computer Science and Game Theory · Computer Science 2014-03-31 Egor Ianovski

Two-player graph games have found numerous applications, most notably in the synthesis of reactive systems from temporal specifications, but also in verification. The relevance of infinite-state systems in these areas has lead to…

Logic in Computer Science · Computer Science 2023-11-08 Philippe Heim , Rayna Dimitrova

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