Why don’t people volunteer?

The Hidden Mathematics of Inaction

Shrouded Science
4 min readMay 15, 2023
A full video version of this script available at youtube.com/@shroudedscience

Have you ever heard of the bystander effect? It’s a fascinating concept in social psychology that reveals how people are less likely to offer help to a victim when others are present. But here’s the exciting part: we can actually combat and understand this phenomenon using Mathematics. And guess what? This knowledge goes beyond just psychology; it can even help you improve your own life! So, stick around because I’m about to share something mind-blowing.

Let’s dive into Game Theory, the study of strategic interactions among rational agents. These agents are individuals who act in their own best self-interest.

Volunteer’s Dilemma

Now, picture this scenario: someone falls victim to a crime or injury, and they desperately need help. In this situation, you have two choices: to lend a hand or do nothing.

If you decide to walk away and ignore the situation, you save yourself the time and money required to help. However, you might experience guilt or face social and legal consequences later on. On the other hand, if you choose to assist the victim, you invest your time and perhaps some money in aiding a stranger.

Now, here’s where it gets really interesting. When there’s a crowd present, everyone faces the same decision as you. This sets the stage for a strategic interaction between you and the crowd, which we can represent as a matrix of possible actions.

A matrix of actions — Volunteer’s Dilemma (Shrouded Science)

Let’s consider the outcomes. If you do nothing and everyone else does the same, the victim suffers, and you face potential negative effects. But if you choose not to act while someone else volunteers, you save time, and the victim receives the help they need, sparing you from additional negative consequences.

Alternatively, if you decide to help, but no one else volunteers, you shoulder the burden of assisting the victim alone, which can be time-consuming and challenging. Finally, if you choose to help and someone else also volunteers, you gain support, making the task of helping the victim less burdensome.

As you can see, the outcome of your decision depends on what the crowd does. To make the best choice, you must balance the expected costs of helping and not helping, taking into account the probability of someone in the crowd stepping up.

Remember when I mentioned legal consequences? Well, they play a crucial role in shifting the balance of this game. Countries worldwide have two types of laws applicable to this situation: Good Samaritan laws and Duty of Care laws.

Good Samaritan laws ensure that while you’re providing assistance, you won’t face significant costs such as being sued for unintended consequences or damages. Duty of Care laws go a step further by legally enforcing the obligation to help. Failing to fulfill this duty may lead to legal consequences based on the victim’s fate.

Duty of Care and Good Samaritan Laws — XciT

The inclusion of these legal frameworks demonstrates how altering the incentive structure can completely change the decision-making process.

Public Good’s Dilemma

This concept doesn’t just apply to volunteering. It has far-reaching implications for society as a whole. Throughout history, societies have required protection, be it in the form of defense or even something as basic as street lighting. Why should you spend your own money on building streetlights when someone else can do it?

The ingenious solution to this problem is taxation. Instead of being an optional contribution, it has become a legal requirement, with tax evasion potentially resulting in imprisonment. While not everyone may willingly participate, the presence of this legal framework ensures that the majority of the population contributes.

A similar principle can be applied to the mandatory draft. By making enlistment a legal requirement, what could potentially be a life-threatening decision becomes a no-brainer. Apart from legal factors, propaganda and social pressures also influence decisions in this context.

And guess what? You can apply these social pressures to your own life as well. Let’s take the example of a messy household where everyone takes turns doing chores. There’s always that one person who seems to get away with slacking off. But imagine if you establish a clear rotation system and introduce some public guilt and consequences for shirking responsibilities. Suddenly, the decision to neglect your duties comes with a much higher cost.

By understanding the power of strategic interactions, incentive structures, and social pressures, you can shape your own environment and influence the behaviours of those around you. So, embrace the possibilities of Game Theory and apply its insights to enhance your life in ways you never thought possible.

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Shrouded Science
Shrouded Science

Written by Shrouded Science

Unveiling the relevance of Mathematics and Science to the world around us. Also on YouTube.com/@shroudedscience and YouTube.com/@shroudedlogic.

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