During this pandemic, I decided to enter the world of game theory. As a lawyer by training, numbers do not come to me naturally; however, there is great potential in incorporating them into my practice. Broadly defined, game theory is the mathematical analysis of decision making. Humans make decisions every day, few humans make strategic decisions every day. Being one of the latter is a lot more advantageous than being one of the former. Success lies with those that make the best decisions. How to make the best decisions? Through strategy.
There are many strategies, choosing the best one requires determination, skill, and vision. Generally, strategies are either dominating or dominated. In most cases, the dominating strategy is better than the dominated strategy; nonetheless, there are instances where our dominating strategy can be beaten by the dominating strategy of our adversaries. Game theory offers a valuable framework to analyze the impact of your decisions and those of your adversaries.
One of the main tenets of game theory is to think forward and reason backward. One should be able to schematize all probable decisions in a game from beginning to end and analyze the advantages and disadvantages of every decision. The purpose is to analyze the probable outcome of the game considering your decisions and those of your adversary.
Common sense indicates that we should be making the best decisions all the time, maximizing our outcomes. Yet, our best decisions may collide with the best decisions of our adversaries. For instance, oil-producing countries might assess that maximizing their oil outputs is the best strategy to increase profits. However, there are many oil-producing countries that are using the same thought process, they all coexist in a global competitive market. In this case, if all parties decide to opt for their best strategy (maximize outputs), everyone would end up worse off (lower profits). The best scenario for everyone would be to commit to a lower output to sustain higher oil prices. This would require negotiations between parties where each one commits to honoring any agreements. There is always the possibility of cheating. Sometimes cheating in certain situations is a dominating strategy, the problem is the shattering of trust for future agreements.
It is possible that your adversaries are also using a game theory framework to predict your strategies; a tennis player might know that given his/her weak backhand, the server will always aim for his/her backhand (dominating strategy). This player might secretly train his backhand and beat the dominating strategy of the server. In this case, the server should predict this possibility and must come up with a scheme that makes the use of his dominating strategy as unpredictably as possible.
Another important factor is the credibility of your threats or promises to use your dominating strategy given its potential costs. For example, the use of nuclear weapons as a response to an aggression would lead to large number of deaths and destruction. If you want your threats (or promises) to be credible you must either have the will to execute them or leave their execution to other factors (chance, unpredictability, third party decision). Having last thoughts before “pressing the nuclear buttons” might impede the execution of your dominating strategy, your credibility to use them in the future would be lower. During the Cuba Missile Crisis, Kennedy stated how the use of nuclear weapons was extremely high (almost irreversible), this implied that the threat to use these weapons had to be credible enough to dissuade the Soviet Union from going further with their strategy. The essence of the brinkmanship mechanism is to create a risk that is sufficiently intolerable for your adversary, influence the other’s actions by altering his expectations.
Many dominating strategies must be sustained over a period of time in order to get its full results. A union should sustain a strike for an X period of time if it deems that the benefits are worth it. On the other hand, the company should determine if this strike is worth prolonging or stopping earlier to avoid decreases in profits. The party most able to sustain the costs over time will be the winning one. A similar example is the U.S. involvement in the Vietnam War. It appeared that after 1968, the U.S. had gone so deep into this conflict that prolonging it further would not represent “higher costs”, a surrender would be a lot more “costly”. North Vietnam assumed its victory at a very high cost.
“Thinking Strategically” is a phenomenal book for those interested in acquiring a more strategic mindset. As one of its critics stated, it is Machiavelli updated to our times. Many consider Machiavelli’s texts as guides on how to be a ruthless strategist by describing a pessimistic outlook on power and business. This erroneous thinking has led to centuries of misunderstanding of his philosophy. Machiavellianism should be seen as a guide on how to perceive these “ruthless” behaviors upheld by your adversaries. In this sense, game theory (and this book in particular) builds off from this idea: analyze your adversary and his decisions, they may have a lot to say about you and your decisions.