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Updated: Jul 4, 2026

Measuring Delay Discounting in Humans Using an Adjusting Amount Task

Measuring Delay Discounting in Humans Using an Adjusting Amount Task

Published on: January 9, 2016

Space representation of stochastic processes with delay.

Silvio R Dahmen¹, Haye Hinrichsen, Wolfgang Kinzel

¹Fakultät für Physik und Astronomie, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|June 4, 2008

Summary

This summary is machine-generated.

We demonstrate that nonlocal time series can be mapped to 2D local processes. This reveals that critical behavior is independent of short delays in certain stochastic systems, linking time series autocorrelation to 2D model properties.

Related Experiment Videos

Last Updated: Jul 4, 2026

Measuring Delay Discounting in Humans Using an Adjusting Amount Task

Measuring Delay Discounting in Humans Using an Adjusting Amount Task

Published on: January 9, 2016

Area of Science:

Complex Systems
Statistical Physics
Time Series Analysis

Background:

Nonlocal update rules in time series analysis can exhibit complex dynamics.
Understanding phase transitions in stochastic systems is crucial for many scientific fields.

Purpose of the Study:

To establish a mapping between nonlocal time series and 2D local processes.
To investigate the influence of time delays on critical behavior in stochastic systems.

Main Methods:

Mapping a nonlocal time series x(t) with update rule x(t) =f(x(t-n),x(t-k)) to a 2D local process.
Analyzing stochastic update rules exhibiting nonequilibrium phase transitions.
Relating time series autocorrelation to critical properties.

Main Results:

A time series with coprime delays (n, k) can be mapped to a 2D local process with time-delayed boundary conditions.
For specific stochastic rules, critical behavior is independent of the shorter delay (k).
The autocorrelation function of the time series is connected to the critical properties of the equivalent 2D model.

Conclusions:

The study provides a novel framework for analyzing nonlocal time series by relating them to 2D systems.
This mapping simplifies the analysis of critical phenomena in systems with specific delay structures.
The findings offer insights into the universality of critical behavior in nonequilibrium phase transitions.