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A generalization of the -exponential discounting function

Physica A: Statistical Mechanics and its Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cruz Rambaud, Salvador   +1 more
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Time is Money: Arithmetic Discounting Outperforms Hyperbolic and Exponential Discounting

SSRN Electronic Journal, 2010
Hyperbolic discounting (H) is currently the dominant behavioral model of intertemporal choice, since it better explains how people behave than the normatively correct exponential discounting model (E). This paper promotes an arithmetic discounting model (A) which challenges H.
John R. Doyle, Catherine Huirong Chen
openaire   +1 more source

Temporal Neutrality Implies Exponential Temporal Discounting

Philosophy of Science, 2023
AbstractHow should one discount utility across time? The conventional wisdom in social science is that one should use an exponential discount function. Such a function is a representation of the axioms that provide a well-defined utility function plus a condition known as stationarity.
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Renegotiation and dynamic inconsistency: Contracting with non-exponential discounting

Journal of Economic Theory, 2023
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Doruk Cetemen   +2 more
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Discounted linear exponential quadratic Gaussian control

IEEE Transactions on Automatic Control, 1995
Summary: In this note, we describe a recursive formulation of discounted costs for a linear quadratic exponential Gaussian linear regulator problem which implies time-invariant linear decision rules in the infinite horizon case. Time invariance in the discounted case is attained by surrendering state-separability of the risk-adjusted ...
Hansen, Lars Peter, Sargent, Thomas J.
openaire   +2 more sources

Non-exponential Reward Discounting in Reinforcement Learning

Proceedings of the AAAI Conference on Artificial Intelligence, 2023
Reinforcement learning methods typically discount future rewards using an exponential scheme to achieve theoretical convergence guarantees. Studies from neuroscience, psychology, and economics suggest that human and animal behavior is better captured by the hyperbolic discounting model.
openaire   +1 more source

Discounted MDP’s: Distribution Functions and Exponential Utility Maximization

SIAM Journal on Control and Optimization, 1987
The present value of the rewards associated with a discrete-time Markov process has a probability distribution which depends on the initial state. The first part of the paper applies fixed point theory to a system of equations for the distribution functions of the present value.
Chung, Kun-Jen, Sobel, Matthew J.
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The Pareto Comparisons of a Group of Exponential Discounters

Mathematics of Operations Research, 2020
Agents with different discount factors disagree about some intertemporal trade-offs, but they will also agree sometimes. We seek to understand precisely the nature of their agreements and disagreements. A group of agents is identified with a set of discount factors.
Christopher P. Chambers   +1 more
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Functional limit theorems for discounted exponential functional of random walk and discounted convergent perpetuity

Statistics & Probability Letters, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander Iksanov, Oleh Kondratenko
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RENEWAL THEORY WITH EXPONENTIAL AND HYPERBOLIC DISCOUNTING

Probability in the Engineering and Informational Sciences, 2007
To determine optimal investment and maintenance decisions, the total costs should be minimized over the whole life of a system or structure. In minimizing life-cycle costs, it is important to account for the time value of money by discounting and to consider the uncertainties involved. This article presents new results in renewal theory with costs that
J. A. M. van der Weide   +2 more
openaire   +1 more source

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