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In this work, we present a logic based on first-order CTL, namely Game Analysis Logic (GAL), in order to reason about games. We relate models and solution concepts of Game Theory as models and formulas of GAL, respectively. Precisely, we…

Logic in Computer Science · Computer Science 2014-04-15 Davi Romero de Vasconcelos , Edward Hermann Haeusler

In the real world, agents or entities are in a continuous state of interactions. These inter- actions lead to various types of complexity dynamics. One key difficulty in the study of complex agent interactions is the difficulty of modeling…

Computer Science and Game Theory · Computer Science 2017-08-08 Aisha D. Farooqui , Muaz A. Niazi

Classification problems in security settings are usually contemplated as confrontations in which one or more adversaries try to fool a classifier to obtain a benefit. Most approaches to such adversarial classification problems have focused…

Machine Learning · Statistics 2019-09-25 Roi Naveiro , Alberto Redondo , David Ríos Insua , Fabrizio Ruggeri

An explanation for the political processes leading to the sudden collapse of empires and states would be useful for understanding both historical and contemporary political events. We seek a general description of state collapse spanning…

Physics and Society · Physics 2015-06-16 Daniel John Lawson , Neeraj Oak

The human society today is far from perfection and conflicts between groups of humans are frequent events. One example for such conflicts are armed intergroup conflicts. The collective behavior of the large number of cooperating…

Physics and Society · Physics 2008-10-22 Stojcho Panchev , Nikolay K. Vitanov

Game Theory concepts have been successfully applied in a wide variety of domains over the past decade. Sports and games are one of the popular areas of game theory application owing to its merits and benefits in solving complex scenarios.…

Computer Science and Game Theory · Computer Science 2021-05-26 Ambareesh Ravi , Atharva Gokhale , Anchit Nagwekar

In order to build AI we have to create a program which copes well in an arbitrary world. In this paper we will restrict our attention on one concrete world, which represents the game Tick-Tack-Toe. This world is a very simple one but it is…

Artificial Intelligence · Computer Science 2012-10-11 Dimiter Dobrev

Many of our critical infrastructure systems and personal computing systems have a distributed computing systems structure. The incentives to attack them have been growing rapidly as has their attack surface due to increasing levels of…

Cryptography and Security · Computer Science 2024-05-29 Mustafa Abdallah , Saurabh Bagchi , Shaunak D. Bopardikar , Kevin Chan , Xing Gao , Murat Kantarcioglu , Congmiao Li , Peng Liu , Quanyan Zhu

This position paper argues for two claims regarding AI testing and evaluation. First, to remain informative about deployment behaviour, evaluations need account for the possibility that AI systems understand their circumstances and reason…

Computer Science and Game Theory · Computer Science 2025-08-22 Vojtech Kovarik , Eric Olav Chen , Sami Petersen , Alexis Ghersengorin , Vincent Conitzer

Justification theory is a unifying semantic framework. While it has its roots in non-monotonic logics, it can be applied to various areas in computer science, especially in explainable reasoning; its most central concept is a justification:…

Artificial Intelligence · Computer Science 2020-09-23 Simon Marynissen , Bart Bogaerts , Marc Denecker

Game theory has been widely applied to many areas including economics, biology and social sciences. However, it is still challenging to quantify the global stability and global dynamics of the game theory. We developed a landscape and flux…

Populations and Evolution · Quantitative Biology 2018-09-05 Li Xu , Jin Wang

Negotiations, a model of concurrency with multi party negotiation as primitive, have been recently introduced in arXiv:1307.2145, arXiv:1403.4958. We initiate the study of games for this model. We study coalition problems: can a given…

Logic in Computer Science · Computer Science 2015-07-30 Javier Esparza , Philipp Hoffmann

Game theory provides an effective way to model strategic interactions among rational agents. In the context of formal verification, these ideas can be used to produce guarantees on the correctness of multi-agent systems, with a diverse…

Computer Science and Game Theory · Computer Science 2024-11-11 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

This paper formally models the strategic repeated interactions between a system, comprising of a machine learning (ML) model and associated explanation method, and an end-user who is seeking a prediction/label and its explanation for a…

Computer Science and Game Theory · Computer Science 2022-08-24 Kavita Kumari , Murtuza Jadliwala , Sumit Kumar Jha , Anindya Maiti

In quantum game theory, one of the most intriguing and important questions is, "Is it possible to get quantum advantages without any modification of the classical game?" The answer to this question so far has largely been negative. So far,…

Quantum Physics · Physics 2016-02-16 Jeongho Bang , Junghee Ryu , Marcin Pawłowski , B. S. Ham , Jinhyoung Lee

Memory-one strategies are a set of Iterated Prisoner's Dilemma strategies that have been praised for their mathematical tractability and performance against single opponents. This manuscript investigates best response memory-one strategies…

Computer Science and Game Theory · Computer Science 2020-09-30 Nikoleta E. Glynatsi , Vincent A. Knight

Main papers on quantum games are written by physicists for physicists, and the inevitable exploitation of physics jargon may create difficulties for mathematicians or economists. Our goal here is to make clear the physical content and to…

Optimization and Control · Mathematics 2019-09-11 Vassili Kolokoltsov

A coalition is blameable for an outcome if the coalition had a strategy to prevent it. It has been previously suggested that the cost of prevention, or the cost of sacrifice, can be used to measure the degree of blameworthiness. The paper…

Artificial Intelligence · Computer Science 2019-01-25 Rui Cao , Pavel Naumov

The emergence of increasingly sophisticated artificial intelligence (AI) systems have sparked intense debate among researchers, policymakers, and the public due to their potential to surpass human intelligence and capabilities in all…

Theoretical Economics · Economics 2023-11-13 Mehmet S. Ismail

Arguably, for the latter part of the late 20th and early 21st centuries, games have been seen as the drosophila of AI. Games are a set of exciting testbeds, whose solutions (in terms of identifying optimal players) would lead to machines…

Artificial Intelligence · Computer Science 2024-06-28 Spyridon Samothrakis , Dennis J. N. J. Soemers , Damian Machlanski
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