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By analysing the restrictions that ensure the existence of capital market equilibrium, we show that the coefficient of relative risk aversion and the subjective discount factor cannot be high simultaneously as they are supposed to be to…

Computational Finance · Quantitative Finance 2016-06-30 Dominique Pepin

Many popular policy gradient methods for reinforcement learning follow a biased approximation of the policy gradient known as the discounted approximation. While it has been shown that the discounted approximation of the policy gradient is…

Machine Learning · Computer Science 2023-01-10 Chris Nota

We develop a stochastic inventory system which accounts for the limited patience of backlogged customers. While limited patience is a feature that is closer to the nature of unmet demand, our model also unifies the classic backlogging and…

Optimization and Control · Mathematics 2024-04-02 Andrew E. B. Lim , Zhao-Xuan Wei , Hanqin Zhang

This paper considers the problem of consumption and investment in a financial market within a continuous time stochastic economy. The investor exhibits a change in the discount rate. The investment opportunities are a stock and a riskless…

Portfolio Management · Quantitative Finance 2013-03-07 Traian Pirvu , Huayue Zhang

We study a class of iterative combinatorial auctions which can be viewed as subgradient descent methods for the problem of pricing bundles to balance supply and demand. We provide concrete convergence rates for auctions in this class,…

Computer Science and Game Theory · Computer Science 2016-06-01 Jacob Abernethy , Sébastien Lahaie , Matus Telgarsky

We consider a model of socially interacting individuals that make a binary choice in a context of positive additive endogenous externalities. It encompasses as particular cases several models from the sociology and economics literature. We…

Physics and Society · Physics 2007-05-23 Mirta B. Gordon , Jean-Pierre Nadal , Denis Phan , Viktoriya Semeshenko

We discuss the asymptotic behaviour of risk-based indifference prices of European contingent claims in discrete-time financial markets under volatility uncertainty as the number of intermediate trading periods tends to infinity. The…

Mathematical Finance · Quantitative Finance 2024-11-04 Jonas Blessing , Michael Kupper , Alessandro Sgarabottolo

We investigate how the choice of decision makers can be varied under the presence of risk and uncertainty. Our analysis is based on the approach we have previously applied to individual decision makers, which we now generalize to the case…

Physics and Society · Physics 2014-09-03 V. I. Yukalov , D. Sornette

Existing mathematical models of delay discounting (e. g. exponential model, hyperbolic model, and those derived from nonextensive statistics) consider impulsivity as a single entity. However, the present article derives a novel mathematical…

Physics and Society · Physics 2025-12-08 Shanu Shukla , Trambak Bhattacharyya

Individuals are often faced with temptations that can lead them astray from long-term goals. We're interested in developing interventions that steer individuals toward making good initial decisions and then maintaining those decisions over…

Machine Learning · Computer Science 2022-03-15 Shruthi Sukumar , Adrian F. Ward , Camden Elliott-Williams , Shabnam Hakimi , Michael C. Mozer

This survey reviews recent developments in revealed preference theory. It discusses the testable implications of theories of choice that are germane to specific economic environments. The focus is on expected utility in risky environments;…

Theoretical Economics · Economics 2019-12-04 Federico Echenique

For multidimensional Euclidean type spaces, we study convex choice: from any choice set, the set of types that make the same choice is convex. We establish that, in a suitable sense, this property characterizes the sufficiency of local…

Theoretical Economics · Economics 2024-06-28 Navin Kartik , Andreas Kleiner

For optimal stopping problems with time-inconsistent preference, we measure the inherent level of time-inconsistency by taking the time needed to turn the naive strategies into the sophisticated ones. In particular, when in a repeated…

General Economics · Economics 2024-08-22 Sang Hu , Zihan Zhou

We investigate an extension of the voter model in which voters are equipped with an individual inertia to change their opinion. This inertia depends on the persistence time of a voter's current opinion (ageing). We focus on the case of only…

Physics and Society · Physics 2009-04-07 Hans-Ulrich Stark , Claudio J. Tessone , Frank Schweitzer

We develop a unified analysis of how information captures attention. A decision maker (DM) faces a dynamic information structure and decides when to stop paying attention. We characterize the convex$\unicode{x2013}$order frontier and…

Theoretical Economics · Economics 2024-09-25 Andrew Koh , Sivakorn Sanguanmoo

We study asymptotic behavior of solutions of the first-order linear consensus model with delay and anticipation, which is a system of neutral delay differential equations. We consider both the transmission-type and reaction-type delay that…

Optimization and Control · Mathematics 2023-07-19 Jan Haskovec

We represent preferences that exhibit absolute or relative attitudes towards ambiguity without assuming convexity of preferences. Our analysis is motivated by the recent experimental evidence by Baillon and Placido (2019) indicating that…

Theoretical Economics · Economics 2024-07-02 Francesco Fabbri , Giulio Principi , Lorenzo Stanca

An agent choosing between various actions tends to take the one with the lowest cost. But this choice is arguably too rigid (not adaptive) to be useful in complex situations, e.g., where exploration-exploitation trade-off is relevant in…

Data Analysis, Statistics and Probability · Physics 2018-12-04 Armen E. Allahverdyan , Aram Galstyan , Ali E. Abbas , Zbigniew R. Struzik

This chapter provides a tutorial that the reader can follow towards analyzing discounting data. Previous chapters have already described the breadth of outcomes associated with discounting (Odum et al. 2020) and other background information…

Applications · Statistics 2024-08-08 Christopher T. Franck

In the persuasion model, apart from a few special cases, comparative statics has been an open question. We answer it, delineating which shifts of the sender's interim payoff lead her optimally to choose a more informative signal. Our first…

Theoretical Economics · Economics 2025-11-26 Gregorio Curello , Ludvig Sinander