As I was mentioning a couple of weeks back, I have been reading Thinking Strategically by Avinash Dixitt and Barry Nalebuff. This is a pretty old book, being first published in 1991 and the version I was reading is the 1993 paperback re-issue – there was no more revisits to this book by the authors since then but it’s been in print until now. I believe it’s largely used as readings for undergraduate economics students as well as students of business or management schools.
The 2 authors are great teachers of Game Theory in Princeton and Yale and have often adapted the principles this somewhat mathematical subject to the less mathematical real world. Thinking Strategically is a great attempt at discussing strategic thinking that follows from game theoretical analysis for the layman.
The good thing about ideas on strategic thinking is that their principles hold even when the examples they are attached to often become obsolete or arcane – that is not to say that Thinking Strategically features arcane examples. Most of the examples used to bring ideas across in the book are simple, often bordering trivia but they illustrate the essence of the concepts and can be used to explain the principles for similar but more complex issues. One of the case studies brought up that I particularly love is the one about a three-way duel where we have 3 shooters of varying abilities.
Each shooter fires at someone (or something) each round; there’s is fixed order as to who gets to shoot first. The one who’s allowed to shoot first is a poor shooter with an accuracy of only 30%, the second has an accuracy of 80% and the last is a sharp shooter who shoots with an accuracy of 100%. The question is that if you’re the first shooter and allowed to go first, who would you choose to shoot?
An analysis of this “game” gives us a surprising but convincing result. If you choose to shoot the average shooter, and succeed, you will definitely lose because the next in line would be the sharp shooter and he would shoot you. If you choose to shoot the sharp shooter and hit, the average shooter will shoot you, leaving you with a 20% chance of survival. And even if you survive, you only have 30% chance of hitting him later. You might say, this mediocre shooter is so lousy, he’ll probably have to lose anyways. But you can actually raise your chances of winning by choosing a more intelligent strategy: To fire into the air.
This way, the average shooter will get his turn and attempt to shoot the sharp shooter since shooting you and succeeding mean he’ll have to die when the sharp shooter’s turn comes. If he succeeds, the mediocre shooter gets to try his hands at killing the average shooter. If he fails, the sharp shooter will immediately kill him and that once again, leaves the mediocre shooter with a chance of 30% to kill the sharp shooter. The somewhat counter-intuitive strategy of shooting at no one raise the chances of the mediocre shooter winning substantially.
The principle alluded by this example is that if you’re a weak player; it is wise to allow the stronger players to make their moves and get rid of all each other before making a move and fire your best shot at the one left standing. Now that we surface the principle, the logic of such a choice becomes more intuitive.
Thinking Strategically is a great read for students who likes to think and don’t mind re-reading some of the statements in the book a couple of times to understand the explanation behind some strategic moves. It teaches an important skill of looking forward and reasoning backwards and shows you the power of its application in all sorts of “games”. The book might make you feel like you’ll become smarter but trust me, it’s not that easy to apply strategic thinking that quickly in real life and often, we need a degree of foresight that we would almost definitely lack.
2 Comments