The best books about (human) behavior that reward working through the math

I had the good fortune to go to graduate school at UC Davis, where I got to know Peter Richerson, who co-led a group of people working on cultural evolution.

Pete, along with his long-time collaborator Rob Boyd, pioneered the theoretical framework of dual inheritance theory, or how genes and culture act as twin transmission channels for human evolution. In this book, they use mathematical models to explore the various ways in which humans might learn from one another, and how natural selection can shape the evolution of a psychology that facilitates various forms of social learning.

This book, more than any other, launched contemporary research on cultural evolution.  

Peter Turchin has gotten famous recently for predicting the US political upheaval of 2020 way back in 2012.

This book represents the first landmark of Turchin’s attempt to understand the ebbs and flows of history using dynamical models. The book’s centerpiece is a formalization of a theory about how empires rise and fall, first conceived by the 14th century (!) Arab scholar Ibn Khaldun.

The book inspired me to replicate the computational model it presents, and it was remarkably illuminating to watch empires grow, fight, and collapse on my computer screen. 

In 2016 I went to a conference in Leuven, Belgium, on computational approaches to understanding science. There I presented a model showing how selection for productivity (good old “publish or perish”) could, over time, degrade the quality of methods used by scientists.

I also met Cailin O’Connor, a philosopher and game theorist who was also studying science with formal models, with a focus on equity, or lack thereof. In this terrific book, Cailin uses game theory and evolutionary dynamics to consider how some social institutions lead to entrenched inequality among people or social classes, as well as how one might combat the forces of unfairness. 

I have always been fascinated by how people join and leave groups.

What are the benefits of joining a particular group? Which group should I join? What happens if someone wants to join a group, but its current members don’t want them to? I once thought such questions were merely qualitative, and when I was a graduate student I thought I’d be the first to tackle them quantitatively.

I was humbled when I stumbled upon this book, written years earlier, in which two behavioral ecologists review game theoretic models that address questions of just this sort, starting simple, and building up models of increasing nuance and complexity. I think anyone interested in the dynamics of group formation in humans or other animals should read this book. 

Strictly speaking, there is very little math in this short book, but it nevertheless details precise models that yield loads of insight.

Using simple machines with sensors and motors, Braitenberg shows us how easy it is to generate behaviors that look purposeful and even emotional, and how hard it would be to guess how those behaviors were generated if we didn’t already know. This is a book I come back to again and again, not only for its valuable lessons, but also for its beautiful prose.

The models in this may be fictions, but, as Braitenberg advises, fiction is a necessary part of science “as long as our brains are only minuscule fragments of the universe, much too small to hold all the facts of the world but not too idle to speculate about them.”