Boards and ... mathematics?

Diversity of thought has been widely promoted in recent times, as a mechanism to supposedly increase decision quality in boardrooms. Superficially, the idea of thinking differently is a positive evolutionary development from earlier efforts (think: women on boards) to break what is often described as the Old Boys' Club. That the discourse and intent has begun to move beyond appointing directors on the basis of physical attributes is helpful. And yet, the idea of 'diversity of thought' has long troubled me. 

How does anyone know what I am thinking, or anyone else in the boardroom for that matter? And what is diversity in this context anyway—me having different thoughts, or several of us thinking differently? Crucially, what of any link to the board's work and purpose, which is to provide steerage and guidance to achieve a strategic goal? ​

Researchers have published correlations based on specific datasets, but the general case (a reliable linkage between demographic diversity and organisational performance) remains elusive. The somewhat amorphous 'diversity of thought' is similarly afflicted. ​Recently, cognitive diversity (that is, different ways of processing information and approaching problems) has been suggested as a more reliable mechanism to achieve higher quality decisions and, by implication, outcomes. This sounds positive, but reliable explanations are yet to emerge. 

Why is this so hard? Could the paucity of reliable explanations (of the relationship between board work and company performance) be due to researchers, directors' institutions and others trying to explain board work and develop 'best practice' models looking in the wrong place or using inappropriate tools? What if hypothetico-deductive techniques (in search of a deterministic best practice approach to some aspect of board work) are laid to one side and methods more common in social science used (critical realism or contingency theory, for example)? Should researchers embrace the idea that boards are social organisms, and that governance is a mechanism activated by the board?

For the record, I employed critical realism, long-term observational techniques and contingency theory when researching boards a decade ago, as part of my doctoral research. The study was ground-breaking for it revealed new insights about board work including an explanatory framework. If you want to learn more about this study, check my thesis (academic-speak) or this article (plain-speak).

In the past few weeks, I have picked up the question again (thanks to a wandering mind on long haul flights!), and have begun to wonder if fractals and chaos theory might offer a viable pathway to developing a theory of board work. Whether this might be a fruitful search or a blind alley remains unclear. Regardless, my mission is to help boards govern with impact, so the least I can do is dig further. And dig I shall.

One request: If you know about fractals, or know of anyone who possess such expertise—especially in relation to social phenomena—could we schedule a call please? I'm starting from a pretty low base!