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Admissible strategies, i.e. those that are not dominated by any other strategy, are a typical rationality notion in game theory. In many classes of games this is justified by results showing that any strategy is admissible or dominated by…

Computer Science and Game Theory · Computer Science 2018-05-30 Nicolas Basset , Ismaël Jecker , Arno Pauly , Jean-François Raskin , Marie Van den Bogaard

In this work the properties of multi choice minority games are studied by means of extensive computational simulations. We have considered several ways of rewarding the strategies of the players and compared the resulting behaviours of the…

Disordered Systems and Neural Networks · Physics 2008-11-23 J. Menche , J. R. L. de Almeida

Tournaments are a widely used mechanism to rank alternatives in a noisy environment. This paper investigates a fundamental issue of economics in tournament design: what is the best usage of limited resources, that is, how should the…

Applications · Statistics 2022-05-24 Balázs R. Sziklai , Péter Biró , László Csató

We present a method for using standard techniques from satisfiability checking to automatically verify and discover theorems in an area of economic theory known as ranking sets of objects. The key question in this area, which has important…

Artificial Intelligence · Computer Science 2014-01-17 Christian Geist , Ulle Endriss

We introduce a correlation coefficient that is designed to deal with a variety of ranking formats including those containing non-strict (i.e., with-ties) and incomplete (i.e., unknown) preferences. The correlation coefficient is designed to…

Applications · Statistics 2019-02-19 Yeawon Yoo , Adolfo R. Escobedo , J. Kyle Skolfield

Improving factual consistency of abstractive summarization has been a widely studied topic. However, most of the prior works on training factuality-aware models have ignored the negative effect it has on summary quality. We propose EFACTSUM…

Computation and Language · Computer Science 2023-05-25 Tanay Dixit , Fei Wang , Muhao Chen

We consider the problem of evaluating certain types of functional aggregation queries on relational data subject to additive inequalities. Such aggregation queries, with a smallish number of additive inequalities, arise naturally/commonly…

Data Structures and Algorithms · Computer Science 2020-05-04 Mahmoud Abo-Khamis , Sungjin Im , Benjamin Moseley , Kirk Pruhs , Alireza Samadian

The evolution of preferences that account for other agents' fitness, or other-regarding preferences, has been modeled with the "indirect approach" to evolutionary game theory. Under the indirect evolutionary approach, agents make decisions…

Computer Science and Game Theory · Computer Science 2023-01-20 Anthony DiGiovanni , Nicolas Macé , Jesse Clifton

An axiomatic characterization of Nash equilibrium is provided for games in normal form. The Nash equilibrium correspondence is shown to be fully characterized by four simple and intuitive axioms, two of which are inspired by contraction and…

Theoretical Economics · Economics 2025-12-04 Michele Crescenzi

We study popularity for matchings under preferences. This solution concept captures matchings that do not lose against any other matching in a majority vote by the agents. A popular matching is said to be robust if it is popular among…

Data Structures and Algorithms · Computer Science 2025-10-23 Martin Bullinger , Gergely Csáji , Rohith Reddy Gangam , Parnian Shahkar

It is common that a jury must grade a set of candidates in a cardinal scale such as {1,2,3,4,5} or an ordinal scale such as {Great, Good, Average, Bad }. When the number of candidates is very large such as hotels (BOOKING), restaurants…

Computer Science and Game Theory · Computer Science 2023-02-24 Rida Laraki , Estelle Varloot

In this paper we study several monotonicity axioms in approval-based multi-winner voting rules. We consider monotonicity with respect to the support received by the winners and also monotonicity in the size of the committee. Monotonicity…

Computer Science and Game Theory · Computer Science 2019-02-25 Luis Sánchez-Fernández , Jesús A. Fisteus

We study the problem of sharing the revenues from broadcasting sports leagues axiomatically. Our key axiom is anonymity, the classical impartiality axiom. Other impartiality axioms already studied in these problems are equal treatment of…

Theoretical Economics · Economics 2024-12-30 Gustavo Bergantinos , Juan D. Moreno-Ternero

We consider the problem of estimating a ranking on a set of items from noisy pairwise comparisons given item features. We address the fact that pairwise comparison data often reflects irrational choice, e.g. intransitivity. Our key…

Machine Learning · Statistics 2020-06-30 Amanda Bower , Laura Balzano

The results in this paper add useful tools to the theory of sets of desirable gambles, a growing toolbox for reasoning with partial probability assessments. We investigate how to combine a number of marginal coherent sets of desirable…

Artificial Intelligence · Computer Science 2014-02-05 Gert de Cooman , Enrique Miranda

This paper gives a constructive treatment of McKenzie's theorem on the existence of general equilibria. While the full theorem does not admit a constructive proof, and hence does not admit a computational realisation, we show that if we…

Logic · Mathematics 2016-11-09 Matthew Hendtlass , Nazar Miheisi

Simple methods permit to generalize the concepts of iteration and of recursive processes. We shall see briefly on several examples what these methods generate. In additive sequences, we shall encounter not only the golden or the silver…

Dynamical Systems · Mathematics 2012-11-20 Andrei Vieru

The fair-ranking problem, which asks to rank a given set of items to maximize utility subject to group fairness constraints, has received attention in the fairness, information retrieval, and machine learning literature. Recent works,…

Machine Learning · Computer Science 2022-12-01 Anay Mehrotra , Nisheeth K. Vishnoi

We use the indirect evolutionary approach to study evolutionarily stable preferences against multiple mutations in single- and multi-population matching settings, respectively. Players choose strategies to maximize their subjective…

Computer Science and Game Theory · Computer Science 2025-07-08 Yu-Sung Tu , Wei-Torng Juang

We introduce a novel framework of ranking with abstention, where the learner can abstain from making prediction at some limited cost $c$. We present a extensive theoretical analysis of this framework including a series of $H$-consistency…

Machine Learning · Computer Science 2023-07-06 Anqi Mao , Mehryar Mohri , Yutao Zhong