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In social choice theory, Sen's value restriction condition is a sufficiency condition restricted to individuals' ordinal preferences so as to obtain a transitive social preference under the majority decision rule. In this article, Sen's…

Theoretical Economics · Economics 2022-04-12 Fujun Hou

Several rules for social choice are examined from a unifying point of view that looks at them as procedures for revising a system of degrees of belief in accordance with certain specified logical constraints. Belief is here a social…

Artificial Intelligence · Computer Science 2015-05-06 Rosa Camps , Xavier Mora , Laia Saumell

We show that many bounded rationality patterns of choice can be alternatively represented as testable models of limited consideration, and we elicit the features of the associated unobserved consideration sets from the observed choice.…

Theoretical Economics · Economics 2024-03-08 Davide Carpentiere , Angelo Petralia

We investigate the problem of deciding whether a given preference profile is close to having a certain nice structure, as for instance single-peaked, single-caved, single-crossing, value-restricted, best-restricted, worst-restricted,…

Computer Science and Game Theory · Computer Science 2015-09-16 Robert Bredereck , Jiehua Chen , Gerhard J. Woeginger

I study the relationship between diversity preferences and the choice rules implemented by institutions, with a particular focus on the affirmative action policies. I characterize the choice rules that can be rationalized by diversity…

Theoretical Economics · Economics 2023-10-24 Oguzhan Celebi

We consider the notions of agreement, diversity, and polarization in ordinal elections (that is, in elections where voters rank the candidates). While (computational) social choice offers good measures of agreement between the voters, such…

Computer Science and Game Theory · Computer Science 2023-05-18 Piotr Faliszewski , Andrzej Kaczmarczyk , Krzysztof Sornat , Stanisław Szufa , Tomasz Wąs

Literature involving preferences of artificial agents or human beings often assume their preferences can be represented using a complete transitive binary relation. Much has been written however on different models of preferences. We review…

Artificial Intelligence · Computer Science 2018-01-17 Olivier Cailloux , Sébastien Destercke

This paper formalizes the lattice structure of the ballot voters cast in a ranked-choice election and the preferences that this structure induces. These preferences are shown to be counter to previous assumptions about the preferences of…

Theoretical Economics · Economics 2023-01-10 Brian Duricy

We analyse the role and the possible interpretations of regular sets studied in descriptive set theory and forcing theory from the point of view of social choice theory and we provide some insights about their non-democratic nature.…

Logic · Mathematics 2020-04-24 Giorgio Laguzzi

The standard rational choice model describes individuals as making choices by selecting the best option from a menu. A wealth of evidence instead suggests that individuals often filter menus into smaller sets - consideration sets - from…

Theoretical Economics · Economics 2023-01-16 Tonna Emenuga

I formulate and characterize the following two-stage choice behavior. The decision maker is endowed with two preferences. She shortlists all maximal alternatives according to the first preference. If the first preference is decisive, in the…

Theoretical Economics · Economics 2020-10-29 Mario Vazquez Corte

Given the stated preferences of several people over a number of proposals regarding public policy initiatives, some of those proposals might be judged to be more ``divisive'' than others. When designing online participatory platforms to…

Computer Science and Game Theory · Computer Science 2026-01-01 Ulle Endriss

In many situations, the decision maker observes items in sequence and needs to determine whether or not to retain a particular item immediately after it is observed. Any decision rule creates a set of items that are selected. We consider…

Probability · Mathematics 2007-05-23 Abba M. Krieger , Moshe Pollak , Ester Samuel-Cahn

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

Actual individual preferences are neither complete (=total) nor antisymmetric in general, so that at least every quasi-order must be an admissible input to a satisfactory choice rule. It is argued that the traditional notion of…

Combinatorics · Mathematics 2007-05-23 Jobst Heitzig

The notion of preferences plays an important role in many disciplines including service robotics which is concerned with scenarios in which robots interact with humans. These interactions can be favored by robots taking human preferences…

Researchers in psychology characterize decision-making as a process of eliminating options. While statistical modelling typically focuses on the eventual choice, we analyze consideration sets describing, for each survey participant, all…

Methodology · Statistics 2023-07-27 Dominik Kreiss , Thomas Augustin

The theory of rational choice assumes that when people make decisions they do so in order to maximize their utility. In order to achieve this goal they ought to use all the information available and consider all the choices available to…

Artificial Intelligence · Computer Science 2017-04-07 Tshilidzi Marwala

Information about user preferences plays a key role in automated decision making. In many domains it is desirable to assess such preferences in a qualitative rather than quantitative way. In this paper, we propose a qualitative graphical…

Artificial Intelligence · Computer Science 2011-07-04 C. Boutilier , R. I. Brafman , C. Domshlak , H. H. Hoos , D. Poole

In social choice theory, Sen's value restriction and Pattanaik's not-strict value restriction are both attractive conditions for testing social preference transitivity and/or non-empty social choice set existence. This article introduces a…

Theoretical Economics · Economics 2022-05-17 Fujun Hou
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