My favorite books about (human) behavior that reward working through the math

Why am I passionate about this?

I am fascinated with the relationship between our individual behaviors and the social structures and institutions in which we live—and how these influence each over time. I think this sort of understanding is important if we want to consider the kind of world we want to live in, and how we might get there from where we are. I take insights from many disciplines, from physics and biology to the cognitive and social sciences, from philosophy and art to mathematics and engineering. I am currently a professor of cognitive and information sciences at the University of California, Merced, and an external professor at the Santa Fe Institute. 


I wrote...

Modeling Social Behavior: Mathematical and Agent-Based Models of Social Dynamics and Cultural Evolution

By Paul E. Smaldino,

Book cover of Modeling Social Behavior: Mathematical and Agent-Based Models of Social Dynamics and Cultural Evolution

What is my book about?

Understanding the social world is hard. Models can help. Modeling Social Behavior provides a theory-driven introduction to key mathematical and computational models of social dynamics and cultural evolution, teaching readers how to build their own models, analyze them, and integrate them with empirical research programs. The book covers a variety of modeling topics, including the philosophy of modeling, collective movement, segregation, contagion, polarization, the evolution of cooperation, the emergence of norms, networks, and the scientific process. Each of these is exemplified by one or more archetypal models, helping readers to develop strong theoretical foundations for understanding social behavior. It equips readers with an essential tool kit for thinking about and studying complex social systems using mathematical and computational models.

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The books I picked & why

Book cover of Culture and the Evolutionary Process

Paul E. Smaldino Why did I love this book?

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.  

By Robert Boyd, Peter J. Richerson,

Why should I read it?

1 author picked Culture and the Evolutionary Process as one of their favorite books, and they share why you should read it.

What is this book about?

How do biological, psychological, sociological, and cultural factors combine to change societies over the long run? Boyd and Richerson explore how genetic and cultural factors interact, under the influence of evolutionary forces, to produce the diversity we see in human cultures. Using methods developed by population biologists, they propose a theory of cultural evolution that is an original and fair-minded alternative to the sociobiology debate.


Book cover of Historical Dynamics: Why States Rise and Fall

Paul E. Smaldino Why did I love this book?

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. 

By Peter Turchin,

Why should I read it?

1 author picked Historical Dynamics as one of their favorite books, and they share why you should read it.

What is this book about?

Many historical processes are dynamic. Populations grow and decline. Empires expand and collapse. Religions spread and wither. Natural scientists have made great strides in understanding dynamical processes in the physical and biological worlds using a synthetic approach that combines mathematical modeling with statistical analyses. Taking up the problem of territorial dynamics--why some polities at certain times expand and at other times contract--this book shows that a similar research program can advance our understanding of dynamical processes in history. Peter Turchin develops hypotheses from a wide range of social, political, economic, and demographic factors: geopolitics, factors affecting collective solidarity, dynamics of…


Book cover of The Origins of Unfairness: Social Categories and Cultural Evolution

Paul E. Smaldino Why did I love this book?

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. 

By Cailin O'Connor,

Why should I read it?

2 authors picked The Origins of Unfairness as one of their favorite books, and they share why you should read it.

What is this book about?

In almost every human society some people get more and others get less. Why is inequity the rule in these societies? In The Origins of Unfairness, philosopher Cailin O'Connor firstly considers how groups are divided into social categories, like gender, race, and religion, to address this question. She uses the formal frameworks of game theory and evolutionary game theory to explore the cultural evolution of the conventions which piggyback on these seemingly
irrelevant social categories. These frameworks elucidate a variety of topics from the innateness of gender differences, to collaboration in academia, to household bargaining, to minority disadvantage, to homophily.…


Book cover of Social Foraging Theory

Paul E. Smaldino Why did I love this book?

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. 

By Luc-Alain Giraldeau, Thomas Caraco,

Why should I read it?

1 author picked Social Foraging Theory as one of their favorite books, and they share why you should read it.

What is this book about?

Although there is extensive literature in the field of behavioral ecology that attempts to explain foraging of individuals, social foraging--the ways in which animals search and compete for food in groups--has been relatively neglected. This book redresses that situation by providing both a synthesis of the existing literature and a new theory of social foraging. Giraldeau and Caraco develop models informed by game theory that offer a new framework for analysis. Social Foraging Theory contains the most comprehensive theoretical approach to its subject, coupled with quantitative methods that will underpin future work in the field. The new models and approaches…


Book cover of Vehicles: Experiments in Synthetic Psychology

Paul E. Smaldino Why did I love 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.” 

By Valentino Braitenberg,

Why should I read it?

2 authors picked Vehicles as one of their favorite books, and they share why you should read it.

What is this book about?

These imaginative thought experiments are the inventions of one of the world's eminent brain researchers.

These imaginative thought experiments are the inventions of one of the world's eminent brain researchers. They are "vehicles," a series of hypothetical, self-operating machines that exhibit increasingly intricate if not always successful or civilized "behavior." Each of the vehicles in the series incorporates the essential features of all the earlier models and along the way they come to embody aggression, love, logic, manifestations of foresight, concept formation, creative thinking, personality, and free will. In a section of extensive biological notes, Braitenberg locates many elements of…


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Empire in the Sand

By Shane Joseph,

Book cover of Empire in the Sand

Shane Joseph Author Of Empire in the Sand

New book alert!

Why am I passionate about this?

I have been a writer for more than twenty years and have favored pursuing “truth in fiction” rather than “money in formula.” I also spent over thirty years in the corporate world and was exposed to many situations reminiscent of those described in my fiction and in these recommended books. While I support enterprise, “enlightened capitalism” is preferable to the bare-knuckle type we have today, and which seems to resurface whenever regulation weakens. I also find writing novels closer to my lived experience connects me intimately with readers who are looking for socio-political, realist literature.

Shane's book list on exposing corporate, political, and personal corruption

What is my book about?

Avery Mann, a retired pharmaceuticals executive, is in crisis.

His wife dies of cancer, his son’s marriage is on the rocks, his grandson is having a meltdown, and his good friend is a victim of the robocalls scandal that invades the Canadian federal election. Throw in a reckless fling with a former colleague, a fire that destroys his retirement property, and a rumour emerging that the drug he helped bring to market years ago may have been responsible for the death of his wife, and Avery’s life goes into freefall.

Does an octogenarian beekeeper living on Vancouver Island hold the key to Avery’s recovery, a man holding secrets that put lives in jeopardy? Avery races across the country to find out, with crooked bosses, politicians, and assassins on his tail. Joseph spins a cautionary tale of corporate and political greed that is endemic to our times.

Empire in the Sand

By Shane Joseph,

What is this book about?

Avery Mann, a retired pharmaceuticals executive, is in crisis. His wife dies of cancer, his son’s marriage is on the rocks, his grandson is having a meltdown, and his good friend is a victim of the robocalls scandal that invades the Canadian federal election.

Throw in a reckless fling with a former colleague, a fire that destroys his retirement property, and a rumour emerging that the drug he helped bring to market years ago may have been responsible for the death of his wife, and Avery’s life goes into freefall.

Does an octogenarian bee keeper living on Vancouver Island hold…


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