Hello! Welcome to the second module of our course.
In the previous module, we analyzed the decision-making process during the Cuban Missile Crisis using frameworks like cost-benefit analysis, decision trees, and the escalation ladder. These tools helped us understand how decisions were made and what their potential consequences were. Now, we shift our focus to the why. We will use the lens of game theory to explore the underlying strategic logic that shaped the choices of both the United States and the Soviet Union.
This lesson serves as our entry point into this new topic. We will begin by introducing the fundamental concepts of game theory and then immediately apply them to the crisis. Our goal is to formalize the initial confrontation into a model that we can analyze in subsequent lessons.
By the end of this lesson, you will be able to construct a simplified 2x2 game matrix representing the initial US-Soviet confrontation over Cuba, defining the players, their strategies, and the resulting payoffs.
What is Game Theory?
At its core, game theory is the formal study of strategic interaction. It provides a mathematical framework for analyzing situations where the outcome for each participant (or "player") depends not only on their own actions but on the actions of all other players. Given your background in the civil service and international relations, you've certainly encountered countless scenarios of this nature; game theory simply provides a structured language and a set of analytical tools to dissect them.
The key components of any game theory model are:
- Players: The rational decision-makers in the game.
- Strategies: The possible actions or moves each player can take.
- Payoffs: The outcomes or preferences each player associates with every possible combination of strategies.
To see these concepts in action, let's start with a short video explaining one of the most famous examples in game theory: the Prisoner's Dilemma. The video also shows how this model was applied to the Cold War arms race, making it a very relevant introduction for us.
This game theory problem will change the way you see the world
This video from the channel Veritasium provides an excellent primer on game theory, using the classic Prisoner's Dilemma to illustrate the core concepts of players, strategies, and payoffs.
Please watch the first 4 minutes and 39 seconds of the video. As you watch, focus on identifying: The two players and their two strategies (cooperate or defect). How the payoff structure leads both rational players to a suboptimal outcome. The analogy drawn between this game and the US-Soviet nuclear arms race.
The Prisoner's Dilemma illustrates how individually rational choices can lead to a collectively poor result. While it's a powerful model for the arms race over the long term, the acute, high-stakes confrontation of the Cuban Missile Crisis is often better described by a different game, as we will soon see.
Modeling the Cuban Missile Crisis
Now, let's apply this framework to the situation facing President Kennedy's Executive Committee (ExComm) in the initial days of the crisis, following the discovery of the missiles.
The first step is to define the players, their strategies, and their preferences for the possible outcomes. The following reading provides a concise, academic breakdown of how game theorists model this exact problem.
[PDF] Game theory and the Cuban missile crisis
This document, 'Game theory and the Cuban missile crisis' by Steven J. Brams, is a classic application of game theory to our subject. It will guide us in defining the components of our model.
Please read the section 'Classical Game Theory and the Missile Crisis' (from the bottom of page 1 to the end of page 2). Focus on how the author simplifies the complex reality into the core components of a game: Players: United States and Soviet Union. US Strategies: Blockade (B) and Air Strike (A). Soviet Strategies: Withdrawal (W) and Maintenance (M). Payoffs: The four possible outcomes and their preference rankings (4=best, 1=worst).
As the reading explains, we can distill the complex deliberations into a set of simplified, binary choices that represent the fundamental strategic dilemma at the start of the crisis.
- Players: The United States and the Soviet Union.
- US Strategies:
- Blockade: A less aggressive option, intended to prevent further deployments while allowing time for negotiation.
- Air Strike: A direct military action to destroy the missiles, carrying a high risk of immediate escalation.
- Soviet Strategies:
- Withdraw: Comply with US demands and remove the missiles.
- Maintain: Refuse to remove the missiles and potentially defend them if attacked.
Constructing the 2x2 Payoff Matrix
With the players and strategies defined, we can now construct a payoff matrix. This is a simple grid that shows the outcome for each player for every combination of strategies. We will use the ordinal ranking system from the reading: 4 = best outcome, 3 = next best, 2 = next worst, and 1 = worst outcome.
Let's think through the preferences for each side for the four possible scenarios:
-
US: Air Strike / USSR: Withdraw (US Victory, Soviet Defeat):
- US Payoff (4): This is the ideal outcome for a US hawk. The threat is eliminated decisively, US credibility is enhanced, and the Soviets are humiliated.
- Soviet Payoff (2): A very bad outcome. The USSR is forced into a humiliating public retreat under direct military threat.
-
US: Blockade / USSR: Maintain (Soviet Victory, US Defeat):
- US Payoff (2): A humiliating defeat. The "quarantine" is shown to be a weak response, and the strategic balance is permanently altered with Soviet missiles in Cuba.
- Soviet Payoff (4): The best outcome for the USSR. They successfully defy the US, establish a strategic foothold in the Western Hemisphere, and score a major Cold War victory.
-
US: Blockade / USSR: Withdraw (Compromise):
- US Payoff (3): A good, but not perfect, outcome. The missiles are removed without war. It's a success, but achieved through negotiation rather than sheer dominance.
- Soviet Payoff (3): Also a good, but not perfect, outcome. The USSR is forced to withdraw, but they do so without being attacked, avoiding humiliation and securing Cuba from invasion (a key Soviet goal).
-
US: Air Strike / USSR: Maintain (Nuclear War):
- US Payoff (1): The worst possible outcome. A US air strike on Soviet installations, if met with resistance, would almost certainly escalate, leading to a catastrophic nuclear exchange.
- Soviet Payoff (1): Also the worst possible outcome, for the same reason.
Organizing these into a matrix gives us a powerful visual summary of the initial strategic landscape. The first number in each pair represents the payoff for the row player (US), and the second is for the column player (USSR).
This matrix is a simplified model, but it effectively captures the terrible logic of the confrontation. Both sides have a path to their "best" outcome (4), but it requires the other side to capitulate and accept their "next worst" outcome (2). And if both sides pursue their most aggressive strategies, they end up at the worst possible outcome for everyone (1,1).
The Game of "Chicken"
This specific payoff structure is a classic model in game theory known as the Game of Chicken. The name comes from the story of two drivers heading toward each other on a single-lane road. The first to swerve is the "chicken," while the one who stays the course is the hero. If neither swerves, they both crash.
To better understand this model, let's watch one more short video.
Game of Chicken / Hawk-Dove in Game Theory
This video from economist Ashley Hodgson explains the Game of Chicken, its payoff structure, and how it applies to real-world scenarios, including conflicts between nations.
Please watch from the beginning to 2:01, and then from 4:36 to the end (6:47). Focus on: The classic story of the game and how the payoffs are assigned. The connection between the 'swerve'/'stay' strategies and the 'Dove'/'Hawk' terminology used for international relations.
As the video explains, the Cuban Missile Crisis is a quintessential example of the Game of Chicken, or what is also known as a Hawk-Dove game, played on a global scale with nuclear stakes.
- Staying the course (Hawk) is equivalent to the aggressive strategies: the US Air Strike or the Soviet decision to Maintain the missiles.
- Swerving (Dove) is equivalent to the conciliatory strategies: the US Blockade (seen as a less aggressive first step) or the Soviet Withdrawal.
- The crash is Nuclear War.
Conclusion
In this lesson, we have taken the first step in applying game theory to the Cuban Missile Crisis. We've moved from historical narrative to a formal, strategic model.
Key Takeaways:
- Game theory models strategic interactions using players, strategies, and payoffs.
- The initial confrontation of the Cuban Missile Crisis can be simplified into a 2x2 game between the US and the USSR.
- The US had two primary strategies (Blockade, Air Strike), and the Soviets had two (Withdraw, Maintain).
- By assigning ordinal payoffs (4=best to 1=worst) based on each side's preferences, we constructed a payoff matrix for the four possible outcomes.
- The resulting matrix—(3,3), (2,4), (4,2), (1,1)—is a classic example of the Game of Chicken, a model of high-stakes brinkmanship.
We now have our model. In the next lesson, we will put it to work. We will delve deeper into the strategic properties of the Game of Chicken, contrast its logic with that of the Prisoner's Dilemma, and explore what the model reveals about the intense pressures on Kennedy and Khrushchev.