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We determine the quality of randomized social choice mechanisms in a setting in which the agents have metric preferences: every agent has a cost for each alternative, and these costs form a metric. We assume that these costs are unknown to…

人工智能 · 计算机科学 2016-09-27 Elliot Anshelevich , John Postl

To choose between two discrete goods, a consumer pays attention to only those with prices below a threshold. From these, she chooses her most preferred good. We assume consumers in a population have the same preference but may have…

理论经济学 · 经济学 2025-11-07 Kaushil Patel

A voting rule decides on a probability distribution over a set of m alternatives, based on rankings of those alternatives provided by agents. We assume that agents have cardinal utility functions over the alternatives, but voting rules have…

计算机科学与博弈论 · 计算机科学 2024-01-23 Soroush Ebadian , Anson Kahng , Dominik Peters , Nisarg Shah

This paper studies the allocation of voting weights in a committee representing groups of different sizes. We introduce a partial ordering of weight allocations based on stochastic comparison of social welfare. We show that when the number…

理论经济学 · 经济学 2024-03-07 Kazuya Kikuchi

In a consideration set model, an individual maximizes utility among the considered alternatives. I relate a consideration set additive random utility model to classic discrete choice and the extended additive random utility model, in which…

计量经济学 · 经济学 2024-05-24 Roy Allen

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…

计算机科学与博弈论 · 计算机科学 2023-12-11 Yannai A. Gonczarowski , Gregory Kehne , Ariel D. Procaccia , Ben Schiffer , Shirley Zhang

We show that, in a resource allocation problem, the ex ante aggregate utility of players with cumulative-prospect-theoretic preferences can be increased over deterministic allocations by implementing lotteries. We formulate an optimization…

理论经济学 · 经济学 2020-12-07 Soham R. Phade , Venkat Anantharam

We investigate a generalisation of the coherent choice functions considered by Seidenfeld et al. (2010), by sticking to the convexity axiom but imposing no Archimedeanity condition. We define our choice functions on vector spaces of…

人工智能 · 计算机科学 2017-07-12 Arthur Van Camp , Gert de Cooman , Enrique Miranda

We propose a new model for aggregating preferences over a set of indivisible items based on a quantile value. In this model, each agent is endowed with a specific quantile, and the value of a given bundle is defined by the corresponding…

计算机科学与博弈论 · 计算机科学 2026-05-06 Haris Aziz , Shivika Narang , Mashbat Suzuki

The ability to measure the satisfaction of (groups of) voters is a crucial prerequisite for formulating proportionality axioms in approval-based participatory budgeting elections. Two common - but very different - ways to measure the…

计算机科学与博弈论 · 计算机科学 2023-10-19 Markus Brill , Stefan Forster , Martin Lackner , Jan Maly , Jannik Peters

A social decision rule (SDR) is any non-empty set-valued map that associates any profile of individual preferences with the set of (winning) alternatives. An SDR is Condorcet-consistent if it selects the set of Condorcet winners whenever…

计算机科学与博弈论 · 计算机科学 2021-11-30 Aurelien Mekuko Yonta , Matias Núñez , Issofa Moyouwou , Nicolas Gabriel Andjiga

When agents with independent priors bid for a single item, Myerson's optimal auction maximizes expected revenue, whereas Vickrey's second-price auction optimizes social welfare. We address the natural question of trade-offs between the two…

计算机科学与博弈论 · 计算机科学 2012-05-15 Ilias Diakonikolas , Christos Papadimitriou , George Pierrakos , Yaron Singer

In this paper, we formulate a qualitative "linear" utility theory for lotteries in which uncertainty is expressed qualitatively using a Spohnian disbelief function. We argue that a rational decision maker facing an uncertain decision…

人工智能 · 计算机科学 2013-01-18 Phan H. Giang , Prakash P. Shenoy

We study fair multi-objective reinforcement learning in which an agent must learn a policy that simultaneously achieves high reward on multiple dimensions of a vector-valued reward. Motivated by the fair resource allocation literature, we…

计算机科学与博弈论 · 计算机科学 2024-02-09 Zimeng Fan , Nianli Peng , Muhang Tian , Brandon Fain

Nowadays there is an increasing interest of physicists in finding regularities related to social phenomena. This interest is clearly motivated by applications that a statistical mechanical description of the human behavior may have in our…

物理与社会 · 物理学 2011-10-28 M. C. Mantovani , H. V. Ribeiro , M. V. Moro , S. Picoli , R. S. Mendes

We study the effect of strategic behavior in iterative voting for multiple issues under uncertainty. We introduce a model synthesizing simultaneous multi-issue voting with Meir, Lev, and Rosenschein (2014)'s local dominance theory and…

计算机科学与博弈论 · 计算机科学 2023-01-24 Joshua Kavner , Reshef Meir , Francesca Rossi , Lirong Xia

Since the 1990s spectrum auctions have been implemented world-wide. This has provided for a practical examination of an assortment of auction mechanisms and, amongst these, two simultaneous ascending price auctions have proved to be…

计算机科学与博弈论 · 计算机科学 2015-07-24 Nicolas Bousquet , Yang Cai , Christoph Hunkenschröder , Adrian Vetta

Recent literature in the last Maximum Entropy workshop introduced an analogy between cumulative probability distributions and normalized utility functions. Based on this analogy, a utility density function can de defined as the derivative…

人工智能 · 计算机科学 2009-11-10 Ali E. Abbas

We study the Price of Anarchy of mechanisms for the well-known problem of one-sided matching, or house allocation, with respect to the social welfare objective. We consider both ordinal mechanisms, where agents submit preference lists over…

计算机科学与博弈论 · 计算机科学 2016-03-01 George Christodoulou , Aris Filos-Ratsikas , Soren Kristoffer Stiil Frederiksen , Paul W. Goldberg , Jie Zhang , Jinshan Zhang

We explore the relation between two natural symmetry properties of voting rules. The first is transitive-symmetry -- the property of invariance to a transitive permutation group -- while the second is the "unbiased" property of every voter…

组合数学 · 数学 2020-02-11 Aadyot Bhatnagar