Interpretation(s) of elasticity in operant demand. Issue 1 (15th June 2020)

• Record Type: Journal Article
• Authors: Gilroy, Shawn P.; Kaplan, Brent A.; Reed, Derek D.
• Is Part Of: Journal of the experimental analysis of behavior. Volume 114:Issue 1(2020)
• Page Start: 106
• Page End: 115
• Publication Date: 2020-06-15
• Subjects: elasticity -- operant demand -- mathematical modeling -- behavioral economics; Psychology -- Periodicals; 150.724
• DOI: 10.1002/jeab.610
• Languages: English
• ISSNs: 0022-5002

Abstract

Abstract : This brief report provides an account of varying interpretations of elasticity ( η ) in the operant demand framework. General references to "demand elasticity" have existed since the Exponential model of operant demand was proposed by Hursh and Silberberg (2008). This term has been used interchangeably with Essential Value (EV), P MAX, and the rate of change constant α . This report provides an in‐depth account of η and the various ways in which this metric has been used to interpret fitted demand functions. A review of relevant mathematic terms, operations associated with differentiating parameters, and worked solutions for η are provided for linear and nonlinear demand functions. The relations between η and EV, P MAX, and α are described and explained in terms of their mathematical bases and recommendations are provided regarding their individual interpretation. This report concludes with recommendations for providing additional mathematical detail in published works and emphasizing a consistent use of terms when describing aspects of operant demand.