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The paper reviews some axioms of additivity concerning ranking methods used for generalized tournaments with possible missing values and multiple comparisons. It is shown that one of the most natural properties, called consistency, has…

Computer Science and Game Theory · Computer Science 2015-12-02 László Csató

Preference Inference involves inferring additional user preferences from elicited or observed preferences, based on assumptions regarding the form of the user's preference relation. In this paper we consider a situation in which…

Logic in Computer Science · Computer Science 2024-09-18 Nic Wilson , Anne-Marie George , Barry O'Sullivan

Lexical semantics theories differ in advocating that the meaning of words is represented as an inference graph, a feature mapping or a vector space, thus raising the question: is it the case that one of these approaches is superior to the…

Computation and Language · Computer Science 2020-11-17 António Branco , João Rodrigues , Małgorzata Salawa , Ruben Branco , Chakaveh Saedi

Barseghyan and Molinari (2023) give sufficient conditions for semi-nonparametric point identification of parameters of interest in a mixture model of decision-making under risk, allowing for unobserved heterogeneity in utility functions and…

Theoretical Economics · Economics 2023-05-19 Matias D. Cattaneo , Xinwei Ma , Yusufcan Masatlioglu

This paper studies decision problems where the decision maker's choice of action affects the probability distribution of a payoff relevant random variable. We establish sufficient conditions for the existence of an expected utility…

Theoretical Economics · Economics 2026-05-29 Ayush Gupta

We model stochastic choices with categorization. The agent preliminarly groups alternatives in homogenous disjoint classes, then randomly chooses one class and randomly picks an item within the selected class. We give a formal definition of…

Theoretical Economics · Economics 2026-01-06 Ester Sudano

A choice of optimization objective is immensely pivotal in the design of a recommender system as it affects the general modeling process of a user's intent from previous interactions. Existing approaches mainly adhere to three categories of…

Machine Learning · Computer Science 2024-08-02 Hyunsoo Chung , Jungtaek Kim , Hyungeun Jo , Hyungwon Choi

We introduce an Attention Overload Model that captures the idea that alternatives compete for the decision maker's attention, and hence the attention that each alternative receives decreases as the choice problem becomes larger. Using this…

Theoretical Economics · Economics 2024-09-17 Matias D. Cattaneo , Paul Cheung , Xinwei Ma , Yusufcan Masatlioglu

We consider social welfare functions when the preferences of individual agents and society maximize subjective expected utility in the tradition of Savage. A system of axioms is introduced whose unique solution is the social welfare…

Theoretical Economics · Economics 2021-08-12 Florian Brandl

We provide foundations for decisions in face of unlikely events by extending the standard framework of Savage to include preferences indexed by a family of events. We derive a subjective lexicographic expected utility representation which…

Statistics Theory · Mathematics 2016-05-26 Hugo Cruz-Sanchez

Employing a generalized definition of Pratt (1964) and Arrow's (1965, 1971) probability premium, we introduce a new concept of attitude towards probability. We illustrate in a problem of risk sharing that whether attitude towards…

Risk Management · Quantitative Finance 2021-05-04 Louis R. Eeckhoudt , Roger J. A. Laeven

In this paper, we study the regularity assumptions commonly adopted in bilevel optimization with constrained lower-level problems, including the linear independence constraint qualification, the strict complementary slackness condition, and…

Optimization and Control · Mathematics 2026-05-15 Xiaotian Jiang , Chang He , Mingyi Hong , Shuzhong Zhang

In the theory of social choice the research is focused around the projection of individual preference orders to the social preference order. Also, the justification of the preference order formalism begins with the concept of utility i.e.…

Computer Science and Game Theory · Computer Science 2010-10-27 Redjan F. Shabani

We consider the problem of finding a fixed L-ary sequence in a stream of random L-ary data. It is known that the expected search time is a strictly increasing function of the lengths of the bifices of the pattern. In this paper we prove the…

Probability · Mathematics 2012-07-31 Alex Schreiber

We model stochastic choice as environment-dependent switching among a small library of deterministic decision rules. A Random Rule Model generates menu-level choice probabilities via named, interpretable rules weighted by observable menu…

General Economics · Economics 2026-04-15 Avner Seror

When composing multiple preferences characterizing the most suitable results for a user, several issues may arise. Indeed, preferences can be partially contradictory, suffer from a mismatch with the level of detail of the actual data, and…

Databases · Computer Science 2025-01-10 Paolo Ciaccia , Davide Martinenghi , Riccardo Torlone

We present a unified logical framework for representing and reasoning about both probability quantitative and qualitative preferences in probability answer set programming, called probability answer set optimization programs. The proposed…

Artificial Intelligence · Computer Science 2013-04-12 Emad Saad

This article studies the expected occupancy probabilities on an alphabet. Unlike the standard situation, where observations are assumed to be independent and identically distributed (iid), we assume that they follow a regime switching…

Probability · Mathematics 2020-05-19 Michael Grabchak , Mark Kelbert , Quentin Paris

In this paper, we have considered the dense rank for assigning positions to alternatives in weak orders. If we arrange the alternatives in tiers (i.e., indifference classes), the dense rank assigns position 1 to all the alternatives in the…

Theoretical Economics · Economics 2023-07-03 José Luis García-Lapresta , Miguel Martínez-Panero

Armstrong's axioms of functional dependency form a well-known logical system that captures properties of functional dependencies between sets of database attributes. This article assumes that there are costs associated with attributes and…

Logic in Computer Science · Computer Science 2015-07-23 Pavel G. Naumov , Jia Tao