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Structured utility models are essential for the effective representation and elicitation of complex multiattribute utility functions. Generalized additive independence (GAI) models provide an attractive structural model of user preferences,…

Computer Science and Game Theory · Computer Science 2012-07-09 Darius Braziunas , Craig Boutilier

We consider black-box global optimization of time-consuming-to-evaluate functions on behalf of a decision-maker (DM) whose preferences must be learned. Each feasible design is associated with a time-consuming-to-evaluate vector of…

Machine Learning · Statistics 2020-03-05 Raul Astudillo , Peter I. Frazier

In the present article we use the quantum formalism to describe the effects of risk and ambiguity in decision theory. The main idea is that the probabilities in the classic theory of expected utility are estimated probabilities, and thus do…

General Physics · Physics 2011-09-21 Riccardo Franco

[Context and motivation:] For realistic self-adaptive systems, multiple quality attributes need to be considered and traded off against each other. These quality attributes are commonly encoded in a utility function, for instance, a…

Software Engineering · Computer Science 2021-03-19 Rebekka Wohlrab , David Garlan

Richard Cox [1] set the axiomatic foundations of probable inference and the algebra of propositions. He showed that consistency within these axioms requires certain rules for updating belief. In this paper we use the analogy between…

Artificial Intelligence · Computer Science 2007-05-23 Ali E. Abbas

We extend well-known comparative results under expected utility to models of non-expected utility by providing novel conditions on local utility functions. We illustrate how our results parallel, and are distinct from, existing results for…

Theoretical Economics · Economics 2026-01-16 Collin Raymond , Yangwei Song

This work derives an approximate analytical single period solution of the portfolio choice problem for the power utility function. It is possible to do so if we consider that the asset returns follow a multivariate normal distribution. It…

Portfolio Management · Quantitative Finance 2021-10-13 Dmytro Ivasiuk

We demonstrate that a ubiquitous feature of network games, bilateral strategic interactions, is equivalent to having player utilities that are additively separable across opponents. We distinguish two formal notions of bilateral strategic…

Theoretical Economics · Economics 2026-02-20 Joseph Root , Evan Sadler

Models to price long term loans in the securities lending business are developed. These longer horizon deals can be viewed as contracts with optionality embedded in them. This insight leads to the usage of established methods from…

Pricing of Securities · Quantitative Finance 2022-03-29 Ravi Kashyap

The von Neumann and Morgenstern theory postulates that rational choice under uncertainty is equivalent to maximization of expected utility (EU). This view is mathematically appealing and natural because of the affine structure of the space…

Optimization and Control · Mathematics 2014-12-22 Roman V. Belavkin

Data-driven decision making plays an important role even in high stakes settings like medicine and public policy. Learning optimal policies from observed data requires a careful formulation of the utility function whose expected value is…

Machine Learning · Statistics 2023-11-29 Eli Ben-Michael , Kosuke Imai , Zhichao Jiang

We consider the quantum resource theory of measurement informativeness and introduce a weight-based quantifier of informativeness. We show that this quantifier has operational significance from the perspective of quantum state exclusion, by…

Quantum Physics · Physics 2019-08-28 Andrés F. Ducuara , Paul Skrzypczyk

As AIs rapidly advance and become more agentic, the risk they pose is governed not only by their capabilities but increasingly by their propensities, including goals and values. Tracking the emergence of goals and values has proven a…

Decentralized resource allocation is a key problem for large-scale autonomic (or self-managing) computing systems. Motivated by a data center scenario, we explore efficient techniques for resolving resource conflicts via cooperative…

Computer Science and Game Theory · Computer Science 2012-12-12 Craig Boutilier , Rajarshi Das , Jeffrey O. Kephart , Gerald Tesauro , William E. Walsh

We investigate a continuous-time investment-consumption problem with model uncertainty in a general diffusion-based market with random model coefficients. We assume that a power utility investor is ambiguity-averse, with the preference to…

Portfolio Management · Quantitative Finance 2024-07-04 Len Patrick Dominic M. Garces , Yang Shen

We consider a general discrete-time financial market with proportional transaction costs as in [Kabanov, Stricker and R\'{a}sonyi Finance and Stochastics 7 (2003) 403--411] and [Schachermayer Math. Finance 14 (2004) 19--48]. In addition to…

Probability · Mathematics 2008-12-10 Bruno Bouchard , Huyên Pham

This paper studies an optimal consumption-investment problem for an investor whose instantaneous utility depends on both consumption and wealth, and the investor faces a general borrowing constraint that the investment amount in the risky…

Portfolio Management · Quantitative Finance 2023-12-08 Weidong Tian , Zimu Zhu

We study information elicitation in cost-function-based combinatorial prediction markets when the market maker's utility for information decreases over time. In the sudden revelation setting, it is known that some piece of information will…

Computer Science and Game Theory · Computer Science 2014-07-31 Miroslav Dudík , Rafael Frongillo , Jennifer Wortman Vaughan

A central concept within informatics is in modelling such systems for the purpose of reasoning (perhaps automated) about their behaviour and properties. To this end, one requires an interpretation of logical formulae in terms of the…

Logic in Computer Science · Computer Science 2024-05-13 Alexander V. Gheorghiu , Tao Gu , David J. Pym

A recent line of work, starting with Beigman and Vohra (2006) and Zadimoghaddam and Roth (2012), has addressed the problem of {\em learning} a utility function from revealed preference data. The goal here is to make use of past data…

Computer Science and Game Theory · Computer Science 2014-07-31 Maria-Florina Balcan , Amit Daniely , Ruta Mehta , Ruth Urner , Vijay V. Vazirani
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