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Valuation based systems verifying an idempotent property are studied. A partial order is defined between the valuations giving them a lattice structure. Then, two different strategies are introduced to represent valuations: as infimum of…

人工智能 · 计算机科学 2013-02-08 Luis D. Hernandez , Serafin Moral

We consider different choice procedures such as scoring rules, rules, using majority relation, value function and tournament matrix, which are used in social and multi-criteria choice problems. We focus on the study of the properties that…

最优化与控制 · 数学 2016-11-03 Sergey Shvydun

We present some examples that refute two recent results in the literature concerning the equality of the domination and matching numbers for power and generalized power hypergraphs. In this note we pinpoint the flaws in the proofs and…

Simultaneous concurrence of extreme values across multiple climate variables can result in large societal and environmental impacts. Therefore, there is growing interest in understanding these concurrent extremes. In many applications, not…

应用统计 · 统计学 2021-03-16 Whitney K. Huang , Adam H. Monahan , Francis W. Zwiers

We develop a simple framework to analyze how targeted persuasive advertising shapes market power and welfare. A designer flexibly manipulates the demand curve by influencing individual valuations at a cost. A monopolist prices against this…

理论经济学 · 经济学 2025-06-04 Yifan Dai , Andrew Koh

We consider weighted sums of independent random variables regulated by an increment sequence. We provide operative conditions that ensure strong law of large numbers for such sums to hold in both the centered and non-centered case. The…

概率论 · 数学 2021-03-11 Luca Avena , Conrado da Costa

Many economic theory models incorporate finiteness assumptions that, while introduced for simplicity, play a real role in the analysis. We provide a principled framework for scaling results from such models by removing these finiteness…

计算机科学与博弈论 · 计算机科学 2023-04-11 Yannai A. Gonczarowski , Scott Duke Kominers , Ran I. Shorrer

An agent-based model for financial markets has to incorporate two aspects: decision making and price formation. We introduce a simple decision model and consider its implications in two different pricing schemes. First, we study its…

交易与市场微观结构 · 定量金融 2015-06-19 Daniel C. Wagner , Thilo A. Schmitt , Rudi Schäfer , Thomas Guhr , Dietrich E. Wolf

Personalized pricing is a business strategy to charge different prices to individual consumers based on their characteristics and behaviors. It has become common practice in many industries nowadays due to the availability of a growing…

计算机与社会 · 计算机科学 2022-02-22 Renzhe Xu , Xingxuan Zhang , Peng Cui , Bo Li , Zheyan Shen , Jiazheng Xu

The pairwise winning indices, computed in the Stochastic Multicriteria Acceptability Analysis, give the probability with which an alternative is preferred to another taking into account all the instances of the assumed preference model…

最优化与控制 · 数学 2022-03-29 Sally Giuseppe Arcidiacono , Salvatore Corrente , Salvatore Greco

Scoring rules are used to evaluate the quality of predictions that take the form of probability distributions. A scoring rule is strictly proper if its expected value is uniquely minimized by the true probability distribution. One of the…

统计方法学 · 统计学 2021-04-05 Zoe Guan

An algorithm that outputs predictions about the state of the world will almost always be designed with the implicit or explicit goal of outputting accurate predictions (i.e., predictions that are likely to be true). In addition, the rise of…

机器学习 · 计算机科学 2025-07-08 David Kinney

A new axiom for rules for claims problems is introduced. It strengthens a condition studied in supply chain literature, which forces rules to disincentivize order inflation under capacity allocation and retail competition. The relevance of…

理论经济学 · 经济学 2024-12-30 Kentarô Yamamoto

We study the problem of fairly allocating a multiset $M$ of $m$ indivisible items among $n$ agents with additive valuations. Specifically, we introduce a parameter $t$ for the number of distinct types of items and study fair allocations of…

计算机科学与博弈论 · 计算机科学 2023-03-30 Pranay Gorantla , Kunal Marwaha , Santhoshini Velusamy

The importance of algorithmic fairness grows with the increasing impact machine learning has on people's lives. Recent work on fairness metrics shows the need for causal reasoning in fairness constraints. In this work, a practical method…

机器学习 · 计算机科学 2020-08-26 Rik Helwegen , Christos Louizos , Patrick Forré

We study the fair allocation of indivisible resources among agents. Most prior work focuses on fairness and/or efficiency among agents. However, the allocator, as the resource owner, may also be involved in many scenarios (e.g., government…

计算机科学与博弈论 · 计算机科学 2025-06-10 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

Simultaneous ascending auctions present agents with the exposure problem: bidding to acquire a bundle risks the possibility of obtaining an undesired subset of the goods. Auction theory provides little guidance for dealing with this…

计算机科学与博弈论 · 计算机科学 2012-07-09 Anna Osepayshvili , Michael P. Wellman , Daniel Reeves , Jeffrey K. MacKie-Mason

Allocating resources to individuals in a fair manner has been a topic of interest since the ancient times, with most of the early rigorous mathematical work on the problem focusing on infinitely divisible resources. Recently, there has been…

计算机科学与博弈论 · 计算机科学 2022-03-07 Georgios Amanatidis , Georgios Birmpas , Aris Filos-Ratsikas , Alexandros A. Voudouris

This paper studies Markov perfect equilibria in a repeated duopoly model where sellers choose algorithms. An algorithm is a mapping from the competitor's price to own price. Once set, algorithms respond quickly. Customers arrive randomly…

理论经济学 · 经济学 2022-07-04 Rohit Lamba , Sergey Zhuk

Should humans be asked to evaluate entities individually or comparatively? This question has been the subject of long debates. In this work, we show that, interestingly, combining both forms of preference elicitation can outperform the…