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We study arbitrage opportunities, market viability and utility maximization in market models with an insider. Assuming that an economic agent possesses from the beginning an additional information in the form of a random variable G, which…

Risk Management · Quantitative Finance 2016-10-03 Ngoc Huy Chau , Wolfgang Runggaldier , Peter Tankov

Nontransitive choices have long been an area of curiosity within economics. However, determining whether nontransitive choices represent an individual's preference is a difficult task since choice data is inherently stochastic. This paper…

Theoretical Economics · Economics 2023-05-01 Mogens Fosgerau , John Rehbeck

We consider a discrete-time, generically incomplete market model and a behavioural investor with power-like utility and distortion functions. The existence of optimal strategies in this setting has been shown in a previous paper under…

Portfolio Management · Quantitative Finance 2014-06-23 Miklós Rásonyi , José G. Rodríguez-Villarreal

This paper shows how we can combine logical representations of actions and decision theory in such a manner that seems natural for both. In particular we assume an axiomatization of the domain in terms of situation calculus, using what is…

Artificial Intelligence · Computer Science 2013-02-18 David L. Poole

The Slutsky equation, central in consumer choice theory, is derived from the usual hypotheses underlying most standard models in Economics, such as full rationality, homogeneity, and absence of interactions. We present a statistical physics…

Theoretical Economics · Economics 2023-02-02 Jerome Garnier-Brun , Jean-Philippe Bouchaud , Michael Benzaquen

We provide sufficient conditions under which a utility function may be recovered from a finite choice experiment. Identification, as is commonly understood in decision theory, is not enough. We provide a general recoverability result that…

Theoretical Economics · Economics 2023-01-30 Christopher P. Chambers , Federico Echenique , Nicolas S. Lambert

Most work in mechanism design assumes that buyers are risk neutral; some considers risk aversion arising due to a non-linear utility for money. Yet behavioral studies have established that real agents exhibit risk attitudes which cannot be…

Computer Science and Game Theory · Computer Science 2018-03-13 Shuchi Chawla , Kira Goldner , J. Benjamin Miller , Emmanouil Pountourakis

The classical optimal investment and consumption problem with infinite horizon is studied in the presence of transaction costs. Both proportional and fixed costs as well as general utility functions are considered. Weak dynamic programming…

Portfolio Management · Quantitative Finance 2016-10-14 Albert Altarovici , Max Reppen , H. Mete Soner

We discuss the stationary states of a model economy in which $N$ heterogeneous adaptive consumers purchase commodity bundles repeatedly from $P$ sellers. The system undergoes a transition from an inefficient to an efficient state as the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Andrea De Martino , Matteo Marsili

This paper examines an optimal investment problem in a continuous-time (essentially) complete financial market with a finite horizon. We deal with an investor who behaves consistently with principles of Cumulative Prospect Theory, and whose…

Portfolio Management · Quantitative Finance 2014-03-18 Miklós Rásonyi , Andrea Meireles Rodrigues

We study the utility maximization problem for power utility random fields in a semimartingale financial market, with and without intermediate consumption. The notion of an opportunity process is introduced as a reduced form of the value…

Portfolio Management · Quantitative Finance 2010-11-03 Marcel Nutz

This paper studies the problem of maximizing expected utility from terminal wealth in a semi-static market composed of derivative securities, which we assume can be traded only at time zero, and of stocks, which can be traded continuously…

Portfolio Management · Quantitative Finance 2013-10-09 Pietro Siorpaes

We consider the economic problem of optimal consumption and investment with power utility. We study the optimal strategy as the relative risk aversion tends to infinity or to one. The convergence of the optimal consumption is obtained for…

Portfolio Management · Quantitative Finance 2012-08-13 Marcel Nutz

We consider an agent who invests in a stock and a money market account with the goal of maximizing the utility of his investment at the final time T in the presence of a proportional transaction cost. The utility function considered is…

Portfolio Management · Quantitative Finance 2011-12-14 Maxim Bichuch

People are often reluctant to sell a house, or shares of stock, below the price at which they originally bought it. While this is generally not consistent with rational utility maximization, it does reflect two strong empirical regularities…

Computer Science and Game Theory · Computer Science 2021-06-02 Jon Kleinberg , Robert Kleinberg , Sigal Oren

We study the Merton problem of optimal consumption-investment for the case of two investors sharing a final wealth. The typical example would be a husband and wife sharing a portfolio looking to optimize the expected utility of consumption…

Portfolio Management · Quantitative Finance 2019-01-03 Adrien Nguyen Huu , Oumar Mbodji , A Nguyen-Huu , Traian A. Pirvu

In this article we consider an optimization problem of expected utility maximization of continuous-time trading in a financial market. This trading is constrained by a benchmark for a utility-based shortfall risk measure. The market…

Mathematical Finance · Quantitative Finance 2016-10-28 Oliver Janke

We study a continuous-time expected utility maximization problem in which the investor at maturity receives the value of a contingent claim in addition to the investment payoff from the financial market. The investor knows nothing about the…

Mathematical Finance · Quantitative Finance 2023-07-17 Yunhong Li , Zuo Quan Xu , Xun Yu Zhou

Much research has been conducted on how consumption is related to human relations, for example, consumer communities organized around specific brands, or the way people use products to define their own identity and transmit a desired image.…

Social and Information Networks · Computer Science 2024-01-10 Lizardo Vargas-Bianchi

We introduce a generalization of the concept of sufficientarianism, intended to rank allocations involving multiple consumption goods. In ranking allocations of goods for a fixed society of agents, sufficientarianism posits that allocations…

Theoretical Economics · Economics 2023-09-20 Christopher P. Chambers , Siming Ye