Wednesday, March 5, 2014

A MATHEMATICAL GUIDE ON LIFE AND ON PEOPLE



“Books are the compasses, telescopes, sextants and charts which other men have prepared to help us navigate the dangerous seas of human life.” – Jesse Lee Bennett
In this book called “Rock, Paper, Scissors”, Len Fisher talks about the applications of game theory in real life. He relates game theory to the strategies and the means that people take to interact with each other on a daily basis on different occasions. He talks about using game theory to develop strategies for cooperation and social interactions in different environments. That it helps us understand the holes in our interactions towards other people that lead to broken promises and cheating. It is a guide on what to do in situations like competitions and conflict. It is applied to different sectors from business to military.  Fisher then talks about the two different sides of game theory: the cooperation and collaboration side and the confrontation and competition side. In the field of biology, it is shown in the cooperation involving in the evolution of nature. While in the field of sociology and psychology, it is used to explain the problems of cooperation and resolution in the social relationships between people.
The book started off in a quite slower pace than I had expected. In the first chapter, Fisher gives an informative description about the Prisoner’s dilemma and a somewhat negative notion of the Nash equilibrium being a logical trap. Afterwards, he gives a lot of interesting examples and explanations. Fisher then introduces the different concepts of minimax and fair division in the second chapter. On the topic of fair division, he tells stories about how much trouble he got in when he was shooting fireworks as a kid. It was then that he arrived at an answer and now, he realized that it was an application of the minimax principle. Fisher then gives a discussion on the principle of equal division of the contested sum. Now, chapter three talks about seven of the most interesting yet challenging game theory problems, some would even call them deadly. In this chapter, a summary of these problems like the free rider issue and the game of chicken is given. The title of the book is the focus of chapter four. It talks about the “rock, paper, scissors” game and how it is being played around the world. Here, Fisher explains how this game is a means of conflict resolution; his reason being that this game has no pure strategy to speak of. No strategy that purely dominates the others. So the situations and games which look like they seem to be standing still can actually be solved through strategies and looking at them as rock-paper-scissors situations. The fifth chapter talks about the twin keys that can be used to resolve social dilemmas and these keys are communication and negotiation. It is through these keys that we can form alliances and share information and ideas though these also have their negative sides. The rest of the chapter is focused on how to make the communication between people more reliable, their negotiations fairer and their alliances more stable. Chapter six is about trust. Fisher starts this chapter by recalling a scene from the Peanuts cartoon. An unfortunate effect of both the game theory and the real world is due to the fact that people don’t trust each other. He talks about how he once did something nice for other people and how they doubted his intentions. Communities are built on trust and the lives of people would be easier and more fruitful with trust. He then uses the game theory to prove his claim and to understand how people can prove their trustworthiness. He believes that trust would lead to win-win situations. He then talks about his social training as a child in chapter seven. He talks about the book he was given when he was a child about two women whose personalities seemed to be based on the game Tit for Tat which is a payback strategy that comes into play when two people or groups are likely to meet repeatedly. There is a cycle of retaliation and counter retaliation and in order to break this cycle, one side must stop and just forgive. He then recalls more memories with his grandmother relating to this topic. Another way to break the cycle is to just apologize. Fisher then talks about the social norms and how they guide us to cooperation. Chapter eight is about how to change the game to improve the chances of cooperation. This can be done by introducing new players and using quantum mechanics to read each other’s minds. Fisher then talks about how quantum game theory and classical game theory provides us with a range of strategies to overcome social dilemmas. Then in the last chapter, he reviews these strategies and creates a top ten list of tips for strategies that can be used to promote cooperation.  
This book is a wonderful thing to read for me. While reading it, I didn’t feel like I was reading something about mathematics or the feeling you get when you read those types of academic and educational books. It was very insightful all throughout and even comical at some points. It wasn’t a book on equations or algebraic problems; it was more of a book about life for me and about how people are in general. It was such an eye-opener; it made me see the problems that society has and how the simple mathematics of game theory can be used to explain it and even solve it. This book speaks about life so the reader can really find a way to relate to it and therefore find reading it more pleasurable. I learned a lot from this book about how to interact and deal with people and how to develop a deeper relationship with others. It has a lot of life lessons along with personal stories that made it easier to understand and read. I would recommend this book to other people because its approach isn’t too technical and doesn’t come across as too strong. It also comes with some mind-boggling realizations and tips on how to achieve a better social relationship with other people.

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