Hostname: page-component-6766d58669-mzsfj Total loading time: 0 Render date: 2026-05-16T16:53:33.918Z Has data issue: false hasContentIssue false

Aversive medical treatments signal a need for support: a mathematical model

Published online by Cambridge University Press:  28 May 2019

Mícheál de Barra*
Affiliation:
Centre for Culture and Evolution, Brunel University, London
Daniel Cownden*
Affiliation:
Unaffiliated
Fredrik Jansson*
Affiliation:
Centre for Cultural Evolution, Stockholm University Division of Applied Mathematics, Mälardalen University
*
*All authors contributed equally.
*All authors contributed equally.
*All authors contributed equally.

Abstract

Ineffective, aversive and harmful medical treatments are common cross-culturally, historically and today. Using evolutionary game theory, we develop the following model to explain their persistence. Humans are often incapacitated by illness and injury, and are unusually dependent on care from others during convalescence. However, such caregiving is vulnerable to exploitation via illness deception, whereby people feign or exaggerate illness in order to gain access to care. Our model demonstrates that aversive treatments can counter-intuitively increase the range of conditions where caregiving is evolutionarily viable, because only individuals who stand to gain substantially from care will accept the treatment. Thus, contemporary and historical “ineffective” treatments may be solutions to the problem of allocating care to people whose true need is difficult to discern.

Information

Type
Research Article
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
Copyright © The Authors 2019. Published by Cambridge University Press
Figure 0

Table 1. The variables of the model

Figure 1

Table 2. Conditions for when mutant can invade single resident strategy

Figure 2

Figure 1. Evolutionarily stable strategies when relative benefit to sick (bs/c) and relative benefit to healthy (bh/c) vary. Relatedness is set to r = 0.25, and opportunities for illness deception and legitimate care request occur with equal probability, fs = fh = 0.25. Colours depict which pure strategies are stable for a given pair of benefits, for which they can resist invasion. The dark blue/purple regions are where helping strategies can be maintained: in the blue top-right region Deceptive Helper dominates; in the purple bottom-right region Honest Helper dominates; and in the violet bottom-left region Honest Helper and Nonhelper are in a stalemate situation where both are evolutionarily stable, with neither being able to invade the other. Helping is not maintained in the bright yellow/orange regions: in the orange left-most region Nonhelper dominates; in the yellow central-left triangular region, the dominance of Nonhelper is a direct result of the Deceptive Helper strategy being able to invade the Honest Helper strategy, paving the way for an invasion by Nonhelpers; and in the red central-right triangular region no strategy dominates, with Honest Helper being able to invade Nonhelper, which in turn is able to invade Deceptive Helper, which is in turn able to invade Honest Helper, and so on in a cycle.

Figure 3

Figure 2. Evolutionarily stable strategies (ESSs) and potential helper ESSs when a harmful medical treatment is introduced. Relatedness is set to r = 0.25, and opportunities for illness deception and legitimate care request occur with equal probability, fs = fh = 0.25. The dotted region is where the dominance of Nonhelper (orange and yellow areas) can be eroded or cycling between Nonhelper and the other strategies (red area) can be stopped by aversive medicine, creating a stalemate situation where both Nonhelper and Honest Helper are evolutionarily stable. The lined area shows where aversive treatments can stop the cycling of strategies and make Honest Helper the sole ESS.

Supplementary material: File

de Barra et al. supplementary material

de Barra et al. supplementary material 1

Download de Barra et al. supplementary material(File)
File 737.5 KB