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In the empirical approach to game-theoretic analysis (EGTA), the model of the game comes not from declarative representation, but is derived by interrogation of a procedural description of the game environment. The motivation for developing…

Computer Science and Game Theory · Computer Science 2025-02-21 Michael P. Wellman , Karl Tuyls , Amy Greenwald

Automated Theorem Proving (ATP) is an established branch of Artificial Intelligence. The purpose of ATP is to design a system which can automatically figure out an algorithm either to prove or disprove a mathematical claim, on the basis of…

Artificial Intelligence · Computer Science 2014-12-19 Mohammad Murtaza Mahmud , Swakkhar Shatabda , Mohammad Nurul Huda

In this paper, we develop a game-theoretic account of concurrent separation logic. To every execution trace of the Code confronted to the Environment, we associate a specification game where Eve plays for the Code, and Adam for the…

Logic in Computer Science · Computer Science 2017-10-09 Paul-André Melliès , Léo Stefanesco

"Theorem proving is similar to the game of Go. So, we can probably improve our provers using deep learning, like DeepMind built the super-human computer Go program, AlphaGo." Such optimism has been observed among participants of AITP2017.…

Artificial Intelligence · Computer Science 2019-06-21 Yutaka Nagashima

We develop a method that integrates the tree of thoughts and multi-agent framework to enhance the capability of pre-trained language models in solving complex, unfamiliar games. The method decomposes game-solving into four incremental tasks…

Artificial Intelligence · Computer Science 2024-10-22 Yunhao Yang , Leonard Berthellemy , Ufuk Topcu

The price of anarchy (PoA) has been widely used in static games to quantify the loss of efficiency due to noncooperation. Here, we extend this concept to a general differential games framework. In addition, we introduce the price of…

Systems and Control · Computer Science 2015-03-19 Tamer Basar , Quanyan Zhu

We propose and analyse a 2-parameter family of 2-player games on two heaps of tokens, and present a strategy based on a class of sequences. The strategy looks easy, but is actually hard. A class of exotic numeration systems is then used,…

Combinatorics · Mathematics 2007-05-23 Aviezri S. Fraenkel

In this paper we study the complexity of strategic argumentation for dialogue games. A dialogue game is a 2-player game where the parties play arguments. We show how to model dialogue games in a skeptical, non-monotonic formalism, and we…

Logic in Computer Science · Computer Science 2013-12-17 Guido Governatori , Francesco Olivieri , Simone Scannapieco , Antonino Rotolo , Matteo Cristani

In this paper we introduced an algebraic semantics for process algebra in form of abstract data types. For that purpose, we developed a particular type of algebra, the seed algebra, which describes exactly the behavior of a process within a…

Programming Languages · Computer Science 2010-01-08 Ruqian Lu , Lixing Li , Yun Shang , Xiaoyu Li

In recent work, Watanabe, Eberhart, Asada, and Hasuo have shown that parity games can be seen as string diagrams, that is, as the morphisms of a symmetric monoidal category, an algebraic structure with two different operations of…

Logic in Computer Science · Computer Science 2025-01-31 Robin Piedeleu

We study the extent to which decentralized cost-sharing protocols can achieve good price of anarchy (PoA) bounds in network cost-sharing games with $n$ agents. We focus on the model of resource-aware protocols, where the designer has prior…

Computer Science and Game Theory · Computer Science 2020-07-09 George Christodoulou , Vasilis Gkatzelis , Mohamad Latifian , Alkmini Sgouritsa

Sequential propositional logic deviates from ordinary propositional logic by taking into account that during the sequential evaluation of a propositional statement,atomic propositions may yield different Boolean values at repeated…

Logic in Computer Science · Computer Science 2011-06-28 J. A. Bergstra , A. Ponse

Security games are an example of a successful real-world application of game theory. The paper defines blameworthiness of the defender and the attacker in security games using the principle of alternative possibilities and provides a sound…

Artificial Intelligence · Computer Science 2019-11-13 Pavel Naumov , Jia Tao

We introduce string diagrams as a formal mathematical, graphical language to represent, compose, program and reason about games. The language is well established in quantum physics, quantum computing and quantum linguistic with the…

Computer Science and Game Theory · Computer Science 2016-04-21 Jules Hedges , Evguenia Shprits , Viktor Winschel , Philipp Zahn

Axioms are presented which encapsulate the properties satisfied by categories of games which form the basis of results on full abstraction for PCF and other programming languages, and on full completeness for various logics and type…

Logic in Computer Science · Computer Science 2014-01-22 Samson Abramsky

In this paper, we propose a bilateral peer-to-peer (P2P) energy trading scheme under single-contract and multi-contract market setups, both as an assignment game, and a special class of coalitional games. {The proposed market formulation…

Computer Science and Game Theory · Computer Science 2023-01-31 Aitazaz Ali Raja , Sergio Grammatico

Game Logic is an excellent setting to study proofs-about-programs via the interpretation of those proofs as programs, because constructive proofs for games correspond to effective winning strategies to follow in response to the opponent's…

Logic in Computer Science · Computer Science 2022-10-07 Rose Bohrer , André Platzer

In many multi-agent settings, participants can form teams to achieve collective outcomes that may far surpass their individual capabilities. Measuring the relative contributions of agents and allocating them shares of the reward that…

Machine Learning · Computer Science 2022-08-19 Daphne Cornelisse , Thomas Rood , Mateusz Malinowski , Yoram Bachrach , Tal Kachman

Recommender systems relying on latent factor models often appear as black boxes to their users. Semantic descriptions for the factors might help to mitigate this problem. Achieving this automatically is, however, a non-straightforward task…

Information Retrieval · Computer Science 2018-08-31 Johannes Kunkel , Benedikt Loepp , Jürgen Ziegler

We define a game on distributed Petri nets, where several players interact with each other, and with an environment. The players, or users, have perfect knowledge of the current state, and pursue a common goal. Such goal is expressed by…

Multiagent Systems · Computer Science 2021-07-15 Federica Adobbati , Luca Bernardinello , Lucia Pomello