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Subjective expected utility theory assumes that decision-makers possess unlimited computational resources to reason about their choices; however, virtually all decisions in everyday life are made under resource constraints - i.e.…

Machine Learning · Statistics 2016-10-07 Pedro A. Ortega , Alan A. Stocker

We consider a game-theoretic model where individuals compete over a shared failure-prone system or resource. We investigate the effectiveness of a taxation mechanism in controlling the utilization of the resource at the Nash equilibrium…

Computer Science and Game Theory · Computer Science 2020-12-18 Ashish R. Hota , Shreyas Sundaram

The performance of an energy system under a real-time pricing mechanism depends on the consumption behavior of its customers, which involves uncertainties. In this paper, we consider a system operator that charges its customers with a…

Systems and Control · Computer Science 2016-11-17 Ceyhun Eksin , Hakan Delic , Alejandro Ribeiro

Historically, rational choice theory has focused on the utility maximization principle to describe how individuals make choices. In reality, there is a computational cost related to exploring the universe of available choices and it is…

Statistical Mechanics · Physics 2020-06-24 José Moran , Antoine Fosset , Davide Luzzati , Jean-Philippe Bouchaud , Michael Benzaquen

A continuous-time consumption-investment model with constraint is considered for a small investor whose decisions are the consumption rate and the allocation of wealth to a risk-free and a risky asset with logarithmic Brownian motion…

Portfolio Management · Quantitative Finance 2022-01-06 Zuo Quan Xu , Fahuai Yi

We present a model of credit card profitability, assuming that the card-holder always pays the full outstanding balance. The motivation for the model is to calculate an optimal credit limit, which requires an expression for the expected…

Optimization and Control · Mathematics 2015-08-11 Jonathan K. Budd , Peter G. Taylor

We propose a term structure power price model that, in contrast to widely accepted no-arbitrage based approaches, accounts for the non-storable nature of power. It belongs to a class of equilibrium game theoretic models with players divided…

Optimization and Control · Mathematics 2014-08-12 Miha Troha , Raphael Hauser

The paper investigates the consumption-investment problem for an investor with Epstein-Zin utility in an incomplete market. A non-Markovian environment with unbounded parameters is considered, which is more realistic in practical financial…

Mathematical Finance · Quantitative Finance 2025-10-27 Zixin Feng , Dejian Tian , Harry Zheng

I study robust comparative statics for risk-averse subjective expected utility (SEU) maximizers. Starting with a finite menu of actions totally ordered by sensitivity to risk, I identify the transformations of her menu that lead a…

Theoretical Economics · Economics 2025-05-27 Mark Whitmeyer

Most people are risk-averse (risk-seeking) when they expect to gain (lose). Based on a generalization of ``expected utility theory'' which takes this into account, we introduce an automaton mimicking the dynamics of economic operations.…

Statistical Mechanics · Physics 2009-11-07 C. Anteneodo , C. Tsallis , A. S. Martinez

We propose a new efficient online algorithm to learn the parameters governing the purchasing behavior of a utility maximizing buyer, who responds to prices, in a repeated interaction setting. The key feature of our algorithm is that it can…

Machine Learning · Statistics 2018-03-07 Debjyoti Saharoy , Theja Tulabandhula

We consider the problem of optimizing the expected logarithmic utility of the value of a portfolio in a binomial model with proportional transaction costs with a long time horizon. By duality methods, we can find expressions for the…

Portfolio Management · Quantitative Finance 2012-09-25 Christian Bayer , Bezirgen Veliyev

Completeness and transitivity are standard rationality conditions in economics. However, under ambiguity, decision makers sometimes violate these requirements because of the difficulty of forming accurate predictions about ambiguous events.…

Theoretical Economics · Economics 2025-09-16 Kensei Nakamura , Shohei Yanagita

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…

Econometrics · Economics 2024-05-24 Roy Allen

The exploration-exploitation trade-off is central to the description of adaptive behaviour in fields ranging from machine learning, to biology, to economics. While many approaches have been taken, one approach to solving this trade-off has…

Machine Learning · Computer Science 2021-11-29 Beren Millidge , Anil Seth , Christopher Buckley

In this work we generalize standard Decision Theory by assuming that two outcomes can also be incomparable. Two motivating scenarios show how incomparability may be helpful to represent those situations where, due to lack of information,…

Computer Science and Game Theory · Computer Science 2014-04-04 Piero A. Bonatti , Marco Faella , Luigi Sauro

The algebra of transactions as fundamental measurements is constructed on the basis of the analysis of their properties and represents an expansion of the Boolean algebra. The notion of the generalized economic measurements of the economic…

General Finance · Quantitative Finance 2017-03-22 S. I. Melnyk , I. G. Tuluzov

Several examples of Cyber-physical human systems (CPHS) include real-time decisions from humans as a necessary building block for the successful performance of the overall system. Many of these decision-making problems necessitate an…

General Economics · Economics 2022-10-17 Anuradha M. Annaswamy , Vineet Jagadeesan Nair

Classical decision theory models behaviour in terms of utility maximisation where utilities represent rational preference relations over outcomes. However, empirical evidence and theoretical considerations suggest that we need to go beyond…

Computer Science and Game Theory · Computer Science 2015-06-04 Jules Hedges , Paulo Oliva , Evguenia Sprits , Viktor Winschel , Philipp Zahn

This paper provides a dual formulation of the optimal consumption problem with internal multiplicative habit formation. In this problem, the agent derives utility from the ratio of consumption to the internal habit component. Due to this…

Mathematical Finance · Quantitative Finance 2025-02-20 Thijs Kamma , Antoon Pelsser