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We study mechanism which operate on ordinal preference information (i.e., rank ordered lists of alternatives) on the full domain of weak preferences that admits indifferences. We present a novel decomposition of strategyproofness into three…

Computer Science and Game Theory · Computer Science 2020-07-15 Timo Mennle , Sven Seuken

There is knowledge. There is belief. And there is tacit agreement.' 'We may talk about objects. We may talk about attributes of the objects. Or we may talk both about objects and their attributes.' This work inspects tacit agreements on…

Artificial Intelligence · Computer Science 2014-04-25 Ryuta Arisaka

This paper proposes a variational approach to describe the evolution of organization of complex systems from first principles, as increased efficiency of physical action. Most simply stated, physical action is the product of the energy and…

Adaptation and Self-Organizing Systems · Physics 2014-07-29 Georgi Yordanov Georgiev , Kaitlin Henry , Timothy Bates , Erin Gombos , Alexander Casey , Michael Daly , Amrit Vinod , Hyunseung Lee

Evolutionary game theory has been successfully used to investigate the dynamics of systems, in which many entities have competitive interactions. From a physics point of view, it is interesting to study conditions under which a coordination…

Physics and Society · Physics 2015-05-14 Dirk Helbing , Anders Johansson

We analyse the philosopher Davidson's semantics of actions, using a strongly typed logic with contexts given by sets of partial equations between the outcomes of actions. This provides a perspicuous and elegant treatment of reasoning about…

Logic · Mathematics 2012-05-04 Graham White

We introduce infinitary action logic with exponentiation -- that is, the multiplicative-additive Lambek calculus extended with Kleene star and with a family of subexponential modalities, which allows some of the structural rules…

Logic in Computer Science · Computer Science 2021-07-09 Stepan L. Kuznetsov , Stanislav O. Speranski

Languages continually evolve in response to societal events, resulting in new terms and shifts in meanings. These changes have significant implications for computer applications, including automatic translation and chatbots, making it…

Computation and Language · Computer Science 2024-07-24 Jader Martins Camboim de Sá , Marcos Da Silveira , Cédric Pruski

In this document we shows a first implementation and some preliminary results of a new theory, facing Machine Learning problems in the frameworks of Classical Mechanics and Variational Calculus. We give a general formulation of the problem…

Machine Learning · Computer Science 2017-01-11 Marco Gori , Marco Maggini , Alessandro Rossi

In this paper, we study the effect of preferences in abstract argumentation under a claim-centric perspective. Recent work has revealed that semantical and computational properties can change when reasoning is performed on claim-level…

Artificial Intelligence · Computer Science 2022-04-29 Michael Bernreiter , Wolfgang Dvorak , Anna Rapberger , Stefan Woltran

We undertake a detailed numerical study of the {\it Active Model B} proposed by Wittkowski et al. [Nature Comm. {\bf 5}, 4351 (2014)]. We find that the introduction of activity has a drastic effect on the ordering kinetics. First, the…

Soft Condensed Matter · Physics 2021-07-28 Sudipta Pattanayak , Shradha Mishra , Sanjay Puri

Dynamics with choice is a generalization of discrete-time dynamics where instead of the same evolution operator at every time step there is a choice of operators to transform the current state of the system. This notion is new and…

Dynamical Systems · Mathematics 2008-07-03 Lev Kapitanski , Sanja Živanović

The Principle of Least Action has evolved and established itself as the most basic law of physics. This allows us to see how this fundamental law of nature determines the development of the system towards states with less action, i.e.,…

Adaptation and Self-Organizing Systems · Physics 2012-10-08 Atanu Bikash Chatterjee

We examine the reduction process of a system of second-order ordinary differential equations which is invariant under a Lie group action. With the aid of connection theory, we explain why the associated vector field decomposes in three…

Differential Geometry · Mathematics 2009-02-16 M. Crampin , T. Mestdag

AGM's belief revision is one of the main paradigms in the study of belief change operations. In this context, belief bases (prioritised bases) have been primarily used to specify the agent's belief state. While the connection of iterated…

Logic in Computer Science · Computer Science 2019-12-24 Marlo Souza , Álvaro Moreira

With the advancement of robotics, machine learning, and machine perception, increasingly more robots will enter human environments to assist with daily tasks. However, dynamically-changing human environments requires reactive motion plans.…

Robotics · Computer Science 2017-08-08 Akshara Rai , Giovanni Sutanto , Stefan Schaal , Franziska Meier

In the field of Judgment Aggrgation, a domain, that is a subset of a Cartesian power of $\{0,1\}$, is considered to reflect abstract rationality restrictions on vectors of two-valued judgments on a number of issues. We are interested in the…

Computational Complexity · Computer Science 2019-09-04 Josep Díaz , Lefteris Kirousis , Sofia Kokonezi , John Livieratos

We review some techniques from non-linear analysis in order to investigate critical paths for the action functional in the calculus of variations applied to physics. Previous attempts to analyse when these are minima ex- ist, but mainly…

Mathematical Physics · Physics 2013-03-22 E. López , A. Molgado , J. A. Vallejo

It is known that intuitionistic Kripke semantics can be generalized so that it can treat arbitrary propositional connectives characterized by truth functions. We extend this generalized Kripke semantics to first-order logic, and study how…

Logic · Mathematics 2022-05-13 Naosuke Matsuda , Kento Takagi

We develop a microscopic approach to the kinetic theory of many-particle systems with dissipative and potential interactions in presence of active fluctuations. The approach is based on a generalization of Bogolyubov--Peletminsky reduced…

Statistical Mechanics · Physics 2016-12-13 Yu. V. Slyusarenko , O. Yu. Sliusarenko , A. V. Chechkin

This article is devoted to the tactical game theoretical interpretation of dialectics. Dialectical games are considered as abstractly as well as models of the internal dialogue and reflection. The models related to the representation theory…

General Mathematics · Mathematics 2007-05-23 Denis V. Juriev