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In this paper, we undertake an investigation into the utility maximization problem faced by an economic agent who possesses the option to switch jobs, within a scenario featuring the presence of a mandatory retirement date. The agent needs…

Optimization and Control · Mathematics 2023-09-25 Zhou Yang , Junkee Jeon

Dependence on the parameter is continuous when perturbations of the parameter preserves strict preference for one alternative over another. We characterise this property via a utility function over alternatives that depends continuously on…

Computer Science and Game Theory · Computer Science 2019-04-01 Patrick H. O'Callaghan

We relate the strategy sets that a player ends up with after refining his own strategies according to two very different models of rationality: namely, utility maximization and regret minimization.

Computer Science and Game Theory · Computer Science 2014-03-26 Alessandro Chiesa , Silvio Micali , Zeyuan Allen Zhu

Towards the realization of a sustainable, fair and inclusive society, we proposed a novel decision-making model that incorporates social norms in a rational choice model from the standpoints of deontology and utilitarianism. We proposed a…

This paper discusses the num\'eraire-based utility maximization problem in markets with proportional transaction costs. In particular, the investor is required to liquidate all her position in stock at the terminal time. We first observe…

Mathematical Finance · Quantitative Finance 2017-10-13 Lingqi Gu , Yiqing Lin , Junjian Yang

The "standard" Merton formulation of optimal investment and consumption involves optimizing the integrated lifetime utility of consumption, suitably discounted, together with the discounted future bequest. In this formulation the utility of…

Portfolio Management · Quantitative Finance 2008-12-02 Roman Naryshkin , Matt Davison

We consider an investor who, while maximizing his/her expected utility, also compares the outcome to a reference entity. We recall the notion of personal equilibrium and show that, in a multistep, generically incomplete financial market…

Portfolio Management · Quantitative Finance 2025-12-10 Laurence Carassus , Miklós Rásonyi

This paper studies the infinite-horizon optimal consumption with a path-dependent reference under exponential utility. The performance is measured by the difference between the nonnegative consumption rate and a fraction of the historical…

Mathematical Finance · Quantitative Finance 2022-03-23 Shuoqing Deng , Xun Li , Huyen Pham , Xiang Yu

In this paper we study the problem of maximizing expected utility from the terminal wealth with proportional transaction costs and random endowment. In the context of the existence of consistent price systems, we consider the duality…

Mathematical Finance · Quantitative Finance 2016-09-06 Yiqing Lin , Junjian Yang

In this paper we extend the stability results of [4]}. Our utility maximization problem is defined as an essential supremum of conditional expectations of the terminal values of wealth processes, conditioned on the filtration at the…

Portfolio Management · Quantitative Finance 2011-03-28 Erhan Bayraktar , Ross Kravitz

This paper analyzes the impact of peer effects on electricity consumption of a network of rational, utility-maximizing users. Users derive utility from consuming electricity as well as consuming less energy than their neighbors. However, a…

Social and Information Networks · Computer Science 2017-03-21 Datong P. Zhou , Mardavij Roozbehani , Munther A. Dahleh , Claire J. Tomlin

Perfectly rational decision-makers maximize expected utility, but crucially ignore the resource costs incurred when determining optimal actions. Here we propose an information-theoretic formalization of bounded rational decision-making…

Statistics Theory · Mathematics 2015-06-04 Pedro A. Ortega , Daniel A. Braun

Perfectly rational decision-makers maximize expected utility, but crucially ignore the resource costs incurred when determining optimal actions. Here we employ an axiomatic framework for bounded rational decision-making based on a…

Artificial Intelligence · Computer Science 2011-07-29 Pedro A. Ortega , Daniel A. Braun

We consider a popular model of microeconomics with countably many assets: the Arbitrage Pricing Model. We study the problem of optimal investment under an expected utility criterion and look for conditions ensuring the existence of optimal…

Mathematical Finance · Quantitative Finance 2016-07-19 Miklos Rasonyi

A speculative agent with Prospect Theory preference chooses the optimal time to purchase and then to sell an indivisible risky asset to maximize the expected utility of the round-trip profit net of transaction costs. The optimization…

Mathematical Finance · Quantitative Finance 2022-10-26 Alex S. L. Tse , Harry Zheng

We study the Proportional Response dynamic in exchange economies, where each player starts with some amount of money and a good. Every day, the players bring one unit of their good and submit bids on goods they like, each good gets…

Computer Science and Game Theory · Computer Science 2023-09-13 Simina Brânzei , Nikhil R. Devanur , Yuval Rabani

Statistical mechanics is based on interplay between energy minimization and entropy maximization. Here we formalize this interplay via axioms of cooperative game theory (Nash bargaining) and apply it out of equilibrium. These axioms capture…

Statistical Mechanics · Physics 2020-10-14 S. G. Babajanyan , K. H. Cheong , A. E. Allahverdyan

In this note, we study the utility maximization problem on the terminal wealth under proportional transaction costs and bounded random endowment. In particular, we restrict ourselves to the num\'eraire-based model and work with utility…

Mathematical Finance · Quantitative Finance 2016-02-05 Lingqi Gu , Yiqing Lin , Junjian Yang

We formulate an infinite-horizon optimal investment and consumption problem, in which an individual forms a habit based on the exponentially weighted average of her past consumption rate, and in which she invests in a Black-Scholes market.…

Mathematical Finance · Quantitative Finance 2022-06-10 Bahman Angoshtari , Erhan Bayraktar , Virginia R. Young

We provide an axiomatic foundation for the representation of num\'{e}raire-invariant preferences of economic agents acting in a financial market. In a static environment, the simple axioms turn out to be equivalent to the following choice…

General Finance · Quantitative Finance 2010-11-09 Constantinos Kardaras