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We explore and relate two notions of monotonicity, stochastic and realizable, for a system of probability measures on a common finite partially ordered set (poset) S when the measures are indexed by another poset A. We give counterexamples…

Probability · Mathematics 2007-05-23 James Allen Fill , Motoya Machida

We study organizational elections in which each group nominates one candidate and receives as payoff its members expected utility under a probabilistic winning rule. We empirically justify a standard monotonicity assumption by simulating…

Computer Science and Game Theory · Computer Science 2026-02-06 Chuang-Chieh Lin , Chi-Jen Lu , Po-An Chen , Chih-Chieh Hung

We study the problem of designing multiwinner voting rules that are candidate monotone and proportional. We show that the set of committees satisfying the proportionality axiom of proportionality for solid coalitions is candidate monotone.…

Computer Science and Game Theory · Computer Science 2025-12-05 Jannik Peters

The EM-algorithm is a general procedure to get maximum likelihood estimates if part of the observations on the variables of a network are missing. In this paper a stochastic version of the algorithm is adapted to probabilistic neural…

Artificial Intelligence · Computer Science 2013-03-26 Gerhard Paass

In this paper we study several monotonicity axioms in approval-based multi-winner voting rules. We consider monotonicity with respect to the support received by the winners and also monotonicity in the size of the committee. Monotonicity…

Computer Science and Game Theory · Computer Science 2019-02-25 Luis Sánchez-Fernández , Jesús A. Fisteus

Empirical Welfare Maximization (EWM) is a framework that can be used to select welfare program eligibility policies based on data. This paper extends EWM by allowing for uncertainty in estimating the budget needed to implement the selected…

Econometrics · Economics 2025-12-18 Liyang Sun

Internet ad auctions have evolved from a few lines of text to richer informational layouts that include images, sitelinks, videos, etc. Ads in these new formats occupy varying amounts of space, and an advertiser can provide multiple…

Computer Science and Game Theory · Computer Science 2022-06-08 Gagan Aggarwal , Kshipra Bhawalkar , Aranyak Mehta , Divyarthi Mohan , Alexandros Psomas

Online advertising platforms must decide how to allocate multiple ads across limited screen real estate, where each ad's effectiveness depends not only on its own placement but also on nearby ads competing for user attention. Such spatial…

Computer Science and Game Theory · Computer Science 2026-02-16 Gagan Aggarwal , Yifan Wang , Mingfei Zhao

We study failure rate monotonicity and generalized convex transform stochastic ordering properties of random variables, with a concern on applications. We are especially interested in the effect of a tail weight iteration procedure to…

Probability · Mathematics 2026-01-14 Idir Arab , Milto Hadjikyriakou , Paulo Eduardo Oliveira

Recently, action recognition has been dominated by transformer-based methods, thanks to their spatiotemporal contextual aggregation capacities. However, despite the significant progress achieved on scene-related datasets, they do not…

Computer Vision and Pattern Recognition · Computer Science 2025-10-24 Peiqin Zhuang , Lei Bai , Yichao Wu , Ding Liang , Luping Zhou , Yali Wang , Wanli Ouyang

We study an extremal projection principle for families of operators ordered by domination, induced by fixed bounded linear mappings acting on a source with an additive baseline. Stability is defined through domination of second--order…

Functional Analysis · Mathematics 2026-02-04 Philip Kennerberg

This paper presents a constrained-optimization formulation for the prioritized execution of learned robot tasks. The framework lends itself to the execution of tasks encoded by value functions, such as tasks learned using the reinforcement…

Robotics · Computer Science 2023-01-16 Gennaro Notomista

We study the existence of equilibrium when agents' preferences may not beconvex. For some specific utility functions, we provide a necessary and sufficientcondition under which there exists an equilibrium. The standard approach cannot be…

Computational Finance · Quantitative Finance 2025-03-24 Cuong Le Van , Ngoc-Sang Pham

We study which outcomes are implementable by disclosing coarse statistics of a data-generating process rather than its full distribution. Players observe data whose joint distribution is only partially known: they know the expectations of…

Theoretical Economics · Economics 2026-05-11 Francesco Giordano

We investigate the problem of random assignment of indivisible goods, in which each agent has an ordinal preference and a constraint. Our goal is to characterize the conditions under which there always exists a random assignment that…

Computer Science and Game Theory · Computer Science 2024-12-30 Yasushi Kawase , Hanna Sumita , Yu Yokoi

Recent work has formalized the reward hypothesis through the lens of expected utility theory, by interpreting reward as utility. Hausner's foundational work showed that dropping the continuity axiom leads to a generalization of expected…

Machine Learning · Computer Science 2025-05-20 Mehran Shakerinava , Siamak Ravanbakhsh , Adam Oberman

We study the problem of designing mechanisms for trading networks that satisfy four desired properties: dominant-strategy incentive compatibility, efficiency, weak budget balance (WBB), and individual rationality (IR). Although there exist…

Computer Science and Game Theory · Computer Science 2022-08-22 Takayuki Osogami , Segev Wasserkrug , Elisheva S. Shamash

We advance empirical equilibrium analysis (Velez and Brown, 2020, arXiv:1907.12408) of the winner-bid and loser-bid auctions for the dissolution of a partnership. We show, in a complete information environment, that even though these…

Theoretical Economics · Economics 2020-07-15 Rodrigo A. Velez , Alexander L. Brown

This tutorial describes recently developed general optimality conditions for Markov Decision Processes that have significant applications to inventory control. In particular, these conditions imply the validity of optimality equations and…

Optimization and Control · Mathematics 2016-06-06 Eugene A. Feinberg

With very few exceptions, recent research in fair division has mostly focused on deterministic allocations. Deviating from this trend, we study the fairness notion of interim envy-freeness (iEF) for lotteries over allocations, which serves…

Computer Science and Game Theory · Computer Science 2024-11-27 Ioannis Caragiannis , Panagiotis Kanellopoulos , Maria Kyropoulou
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