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Study on pre- and postselected quantum system indicates that ``product rule'' and ``sum rule'' for elements of reality should be abandoned. We show that this so-called non-partial realism can refute arguments against hidden variables in a…

Quantum Physics · Physics 2007-05-23 Yu Shi

There is a striking relationship between a three hundred years old Political Science theorem named "Condorcet's jury theorem" (1785), which states that majorities are more likely to choose correctly when individual votes are often correct…

Machine Learning · Computer Science 2020-02-17 Hanan Shteingart , Eran Marom , Igor Itkin , Gil Shabat , Michael Kolomenkin , Moshe Salhov , Liran Katzir

The definition of preferences assigned to individuals is a concept that concerns many disciplines, from economics, with the search of an acceptable outcome for an ensemble of individuals, to decision making an analysis of vote systems. We…

Physics and Society · Physics 2008-12-02 Elena Ramirez Barrios , Juan G. Diaz Ochoa

Social choice becomes easier on restricted preference domains such as single-peaked, single-crossing, and Euclidean preferences. Many impossibility theorems disappear, the structure makes it easier to reason about preferences, and…

Computer Science and Game Theory · Computer Science 2025-03-25 Edith Elkind , Martin Lackner , Dominik Peters

We study the voting problem with two alternatives where voters' preferences depend on a not-directly-observable state variable. While equilibria in the one-round voting mechanisms lead to a good decision, they are usually hard to compute…

Computer Science and Game Theory · Computer Science 2025-05-16 Qishen Han , Grant Schoenebeck , Biaoshuai Tao , Lirong Xia

When does society eventually learn the truth, or take the correct action, via observational learning? In a general model of sequential learning over social networks, we identify a simple condition for learning dubbed excludability.…

Theoretical Economics · Economics 2024-04-05 Navin Kartik , SangMok Lee , Tianhao Liu , Daniel Rappoport

Many researchers have applied classical statistical decision theory to evaluate treatment choices and learn optimal policies. However, because this framework is based solely on realized outcomes under chosen decisions and ignores…

Statistics Theory · Mathematics 2025-10-21 Benedikt Koch , Kosuke Imai

Like many other voting systems, Majority Judgement suffers from the weaknesses of the underlying mathematical model: Elections as problem of choice or ranking. We show how the model can be enhanced to take into account the complete process…

Computer Science and Game Theory · Computer Science 2023-07-07 Friedemann Kemm

We introduce an axiomatic approach to group recommendations, in line of previous work on the axiomatic treatment of trust-based recommendation systems, ranking systems, and other foundational work on the axiomatic approach to internet…

Social and Information Networks · Computer Science 2017-07-28 Omer Lev , Moshe Tennenholtz

Social recommendation, which utilizes social relations to enhance recommender systems, has been gaining increasing attention recently with the rapid development of online social network. Existing social recommendation methods are based on…

Information Retrieval · Computer Science 2018-09-06 Tzu-Heng Lin , Chen Gao , Yong Li

In computational social choice, the distortion of a voting rule quantifies the degree to which the rule overcomes limited preference information to select a socially desirable outcome. This concept has been investigated extensively, but…

Computer Science and Game Theory · Computer Science 2023-12-11 Yannai A. Gonczarowski , Gregory Kehne , Ariel D. Procaccia , Ben Schiffer , Shirley Zhang

The major finding, of this article, is an ensemble method, but more exactly, a novel, better ranked voting system (and other variations of it), that aims to solve the problem of finding the best candidate to represent the voters. We have…

Artificial Intelligence · Computer Science 2021-10-15 Gabriel-Claudiu Grama

This paper examines normatively acceptable criteria for evaluating social states when individuals are responsible for their skills or productivity and these factors should be accounted for. We consider social choice rules over sets of…

Theoretical Economics · Economics 2025-02-12 Kensei Nakamura

Selection of input features such as relevant pieces of text has become a common technique of highlighting how complex neural predictors operate. The selection can be optimized post-hoc for trained models or incorporated directly into the…

Machine Learning · Computer Science 2019-10-29 Shiyu Chang , Yang Zhang , Mo Yu , Tommi S. Jaakkola

Condorcet domains are subsets of permutations arising in voting theory: regarding their permutations as preference orders on a list of candidates, one avoids Condorcet's paradox when aggregating the preferences via a simple majority…

Combinatorics · Mathematics 2025-09-25 Victor Reiner , Bridget Eileen Tenner

Given a set of conflicting arguments, there can exist multiple plausible opinions about which arguments should be accepted, rejected, or deemed undecided. We study the problem of how multiple such judgments can be aggregated. We define the…

Artificial Intelligence · Computer Science 2017-06-20 Edmond Awad , Richard Booth , Fernando Tohme , Iyad Rahwan

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

A new game-theoretic approach for combining multiple classifiers is proposed. A short introduction in Game Theory and coalitions illustrate the way any collective decision scheme can be viewed as a competitive game of coalitions that are…

Computer Science and Game Theory · Computer Science 2015-02-10 Harris V. Georgiou

We study the problem of fair sequential decision making given voter preferences. In each round, a decision rule must choose a decision from a set of alternatives where each voter reports which of these alternatives they approve. Instead of…

Computer Science and Game Theory · Computer Science 2025-03-18 Nikhil Chandak , Shashwat Goel , Dominik Peters

We give a structure theorem for all coalitionally strategy-proof social choice functions whose range is a subset of cardinality two of a given larger set of alternatives. We provide this in the case where the voters/agents are allowed to…

Theoretical Economics · Economics 2020-07-06 Achille Basile , Surekha Rao , K. P. S. Bhaskara Rao
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