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This dissertation introduces executable refinement types, which refine structural types by semi-decidable predicates, and establishes their metatheory and accompanying implementation techniques. These results are useful for undecidable type…

编程语言 · 计算机科学 2014-03-14 Kenneth Knowles

We focus on the one-to-one two-sided matching model with two disjoint sets of agents of equal size, where each agent in a set has preferences on the agents in the other set modeled by a linear order. A matching mechanism associates a set of…

理论经济学 · 经济学 2024-11-27 Daniela Bubboloni , Michele Gori , Claudia Meo

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…

人工智能 · 计算机科学 2015-05-06 Rosa Camps , Xavier Mora , Laia Saumell

Choice revision is a sort of non-prioritized multiple revision, in which the agent partially accepts the new information represented by a set of sentences. We investigate the construction of choice revision based on a new approach to belief…

逻辑 · 数学 2018-05-02 Li Zhang

This paper introduces a class of objects called decision rules that map infinite sequences of alternatives to a decision space. These objects can be used to model situations where a decision maker encounters alternatives in a sequence such…

理论经济学 · 经济学 2022-09-12 Bhavook Bhardwaj , Siddharth Chatterjee

Is there an equilibrium for distributed consensus when all agents except one collude to steer the decision value towards their preference? If an equilibrium exists, then an $n-1$ size coalition cannot do better by deviating from the…

分布式、并行与集群计算 · 计算机科学 2019-09-10 Yehuda Afek , Itay Harel , Amit Jacob-Fanani , Moshe Sulamy

Refinement types sharpen systems of simple and dependent types by offering expressive means to more precisely classify well-typed terms. We present a system of refinement types for LF in the style of recent formulations where only canonical…

编程语言 · 计算机科学 2015-07-01 William Lovas , Frank Pfenning

Social choice has become a foundational component of modern machine learning systems. From auctions and resource allocation to the alignment of large generative models, machine learning pipelines increasingly aggregate heterogeneous…

人工智能 · 计算机科学 2026-02-24 Zhiyu An , Wan Du

In this study, I present a theoretical social learning model to investigate how confirmation bias affects opinions when agents exchange information over a social network. Hence, besides exchanging opinions with friends, agents observe a…

理论经济学 · 经济学 2023-02-27 Marcos R. Fernandes

Aggregated phenomena in social sciences and economics are highly dependent on the way individuals interact. To help understanding the interplay between socio-economic activities and underlying social networks, this paper studies a…

适应与自组织系统 · 物理学 2007-05-23 David Chavalarias

Model-driven design of software for safety-critical applications often relies on mathematically grounded techniques such as the B method. Such techniques consist in the successive applications of refinements to derive a concrete…

软件工程 · 计算机科学 2009-07-14 David Deharbe , Bruno E. G. Gomes , Anamaria M. Moreira

Fairness problems in recommender systems often have a complexity in practice that is not adequately captured in simplified research formulations. A social choice formulation of the fairness problem, operating within a multi-agent…

信息检索 · 计算机科学 2024-02-28 Amanda Aird , Cassidy All , Paresha Farastu , Elena Stefancova , Joshua Sun , Nicholas Mattei , Robin Burke

This paper uncovers tight bounds on the number of preferences permissible in identified random utility models. We show that as the number of alternatives in a discrete choice model becomes large, the fraction of preferences admissible in an…

理论经济学 · 经济学 2024-12-03 Christopher P. Chambers , Christopher Turansick

Structural models that admit multiple reduced forms, such as game-theoretic models with multiple equilibria, pose challenges in practice, especially when parameters are set-identified and the identified set is large. In such cases,…

计量经济学 · 经济学 2021-01-29 Nathan Canen , Kyungchul Song

Correctly resolving textual mentions of people fundamentally entails making inferences about those people. Such inferences raise the risk of systemic biases in coreference resolution systems, including biases that can harm binary and…

计算与语言 · 计算机科学 2020-12-03 Yang Trista Cao , Hal Daumé

We study the setting of committee elections, where a group of individuals needs to collectively select a given size subset of available objects. This model is relevant for a number of real-life scenarios including political elections,…

计算机科学与博弈论 · 计算机科学 2021-08-05 Grzegorz Pierczyński , Piotr Skowron

In large scale collective decision making, social choice is a normative study of how one ought to design a protocol for reaching consensus. However, in instances where the underlying decision space is too large or complex for ordinal…

计算机科学与博弈论 · 计算机科学 2017-10-03 Brandon Fain , Ashish Goel , Kamesh Munagala , Sukolsak Sakshuwong

A fundamental principle of individual rational choice is Sen's $\gamma$ axiom, also known as expansion consistency, stating that any alternative chosen from each of two menus must be chosen from the union of the menus. Expansion consistency…

理论经济学 · 经济学 2023-03-28 Wesley H. Holliday , Chase Norman , Eric Pacuit , Saam Zahedian

One widely-existed state --``harmony with diversity" in which individuals freely express various viewpoints to sustain integration of social diversity, but at the same time shared values ensure social coherence, can be considered as the…

物理与社会 · 物理学 2023-04-26 Peng-Bi Cui

Let V be a finite society whose members express weak orderings (hence also indifference, possibly) about two alternatives. We show a simple representation formula that is valid for all, and only, anonymous, non-manipulable, binary social…

理论经济学 · 经济学 2020-07-06 Achille Basile , Surekha Rao , K. P. S. Bhaskara Rao