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Strategic Interactions

Hello! Welcome back to your course on game theory for business decisions.

In our last lesson, we learned to distinguish between competitive (zero-sum) and cooperative (positive-sum) situations. We saw how the Prisoner's Dilemma can lead rational players into a mutually destructive price war, while cooperative partnerships can create new value for everyone.

Today, we're going to explore the single most important concept in game theory: interdependence. This is the idea that your business outcomes are not decided in a vacuum. Your success depends critically on the choices made by your competitors, customers, and suppliers. By the end of this lesson, you will be able to recognize these interdependent decisions in your own woodworking business, laying the foundation for making smarter strategic choices.

From Independent Optimization to Strategic Interdependence

In your mechanical engineering work, you've likely focused on optimizing systems against fixed constraints—like designing a part for maximum strength with minimum material, where the laws of physics are your main "opponent." This is a form of independent optimization.

Business strategy, however, is different. Your environment isn't passive; it's filled with other intelligent players who react to your moves. This is the core of interdependence.

A foundational text for entrepreneurs explains this shift in thinking beautifully. Please read the following sections to understand why the classic economic idea of simply pursuing self-interest isn't enough when competitors' choices influence your outcomes.

15 Game Theory - Profit Analytics for Entrepreneurs

This article, 'Profit Analytics for Entrepreneurs', clearly explains why real-world business strategy is about interdependence, contrasting the ideas of Adam Smith with the core insight of game theory from John Nash.

Read the sections '15.2 The Importance of Game Theory in Competitive Strategy' and '15.3 Individual vs. Interdependent Decision-Making'. Focus on the distinction between markets where you can act independently and markets where success is interdependent on the choices of others.

As the text highlights, your goal is not just to do what's best for you in isolation. The essence of game theory is to figure out what's best for you, given what you expect others to do.

Where Interdependence Matters Most: Your Market

This dynamic of interdependence is most powerful in markets with a few significant players, known as oligopolies. This is very likely the structure of the market for premium, custom woodworking in your area. You won't have thousands of competitors, but a handful of other custom shops, high-end builders, and maybe a national brand. In this setting, every major decision you make will be noticed and reacted to.

To understand this market structure, let's watch a short video.

Game Theory and Oligopoly: Crash Course Economics #26

This clip from Crash Course Economics defines oligopolies and explains why firms in these markets must think strategically about their competitors' actions.

Watch from 01:33 to 04:02. Pay attention to how companies in an oligopoly compete and the key idea that 'each company makes decisions with the actions of their competitors in mind.'

For your woodworking business, this means:

  • Your pricing decision is interdependent. If you set a price for a set of custom kitchen cabinets, its success depends on how your main competitor prices their equivalent offering.
  • Your product line decision is interdependent. Your choice to focus on high-end, modern-style doors will be more or less profitable depending on whether competitors decide to enter that same niche or focus on traditional styles.
  • Your investment decision is interdependent. Purchasing a unique 5-axis CNC machine might give you a huge advantage... unless a competitor buys the same machine a month later.
Interdependent Relationships in a Manufacturing Business Ecosystem
This diagram illustrates the network of relationships a manufacturing business has. Your plant's success is not isolated; it's interdependent with the actions and needs of your customers, the capabilities of your suppliers, and the strategies of your competitors (who are influenced by the same players).

To see how this applies in practice, let's look at some concrete business scenarios.

Applying game theory to strategy practice

This article provides excellent, practical examples of how interdependence shapes key business decisions.

Read the sections from 'Applying the theory' through to the end of the 'Pricing' subsection. Notice how decisions about capacity, market entry, and pricing are all framed in terms of how competitors will react.

The Prisoner's Dilemma: A Pure Model of Interdependence

In the last lesson, we introduced the Prisoner's Dilemma as a model for price wars. Now, let's re-examine it specifically through the lens of interdependence. The dilemma arises precisely because each person's best move depends on what the other does.

This video gives a crystal-clear explanation of the dilemma's logic.

This game theory problem will change the way you see the world

The Veritasium channel offers a sharp analysis of the Prisoner's Dilemma, breaking down the logic of interdependence.

Watch from 02:24 to 03:51. Focus on the thought process: 'What should I do if my opponent cooperates? What should I do if my opponent defects?' This is the essence of interdependent thinking.

Notice the key insight: no matter what the other player does, defecting gives you a slightly better outcome in that single instance. This is why a simple analysis of self-interest can lead both players to a poor collective result. Your fates are intertwined.

Test your understanding!

You're considering offering a 10-year warranty on your premium cabinets, a significant step up from the industry standard of 2 years. Your main competitor currently offers a 2-year warranty.

Explain why your decision to offer the extended warranty is an interdependent one. What are the possible reactions from your competitor, and how would they affect the outcome of your decision?

Show answer

This is an interdependent decision because the success of your warranty strategy depends entirely on how your competitor reacts.

  • Scenario 1: Competitor does nothing. If they stick with their 2-year warranty, your 10-year warranty becomes a powerful point of differentiation. You can justify a premium price and attract quality-conscious customers. This is a big win for you.
  • Scenario 2: Competitor matches your warranty. If they immediately announce their own 10-year warranty, your strategic advantage disappears. You have both taken on higher long-term risk and cost, but neither of you has gained a competitive edge. You're both potentially worse off.
  • Scenario 3: Competitor lowers their price. They could choose not to match the warranty and instead position themselves as the "value" option, emphasizing their lower price. This would split the market, and the success of your strategy would depend on how many customers value the warranty over the lower price.

Your best move isn't obvious in isolation; it depends on which of these reactions you think is most likely.

Interdependence Over Time: The Long Game

Fortunately, business isn't a one-shot Prisoner's Dilemma. You will interact with the same competitors, suppliers, and customers over and over again. This repeated interaction dramatically changes the dynamic of interdependence. Your actions today don't just affect today's outcome; they send a signal that influences how others will behave tomorrow.

This is where reputation is built. If you consistently "defect" by undercutting competitors or squeezing suppliers, they will learn not to trust you. If you "cooperate" by maintaining stable pricing and honoring agreements, you can build a more stable and profitable environment for everyone.

The Veritasium video continues to explore this idea by discussing a famous computer tournament designed to find the best strategy in a repeated Prisoner's Dilemma. The results are profound for any new business owner.

This game theory problem will change the way you see the world

This final video segment explains the winning strategies in a repeated game. The findings provide a powerful, evidence-based framework for how to behave in an interdependent world.

Watch from 10:08 to 15:40. Focus on the four qualities of successful strategies: being nice, forgiving, retaliatory, and clear. Think about how these principles could apply to building your business's reputation.

The success of "Tit for Tat" and similar strategies gives us a practical guide for navigating interdependent relationships:

  • Be Nice: Don't be the first to start a price war or act aggressively. Start with cooperation.
  • Be Retaliatory: Don't be a pushover. If a competitor undercuts you, you must respond to show that such behavior has consequences.
  • Be Forgiving: If they return to a cooperative stance, don't hold a grudge. This allows you to escape mutually destructive cycles of retaliation.
  • Be Clear: Your competitors should be able to understand your strategic logic. If your pricing or behavior seems random, they can't learn to cooperate with you.

Conclusion

Today, we've moved from identifying players to understanding the fundamental force that connects them: strategic interdependence. Recognizing that your outcomes are tied to the choices of others is the true starting point of strategic thinking.

Key Takeaways:

  • Interdependence is Key: Unlike optimizing against a fixed environment, business strategy is about making choices that are smart in response to the choices of other active players.
  • Your Market Dictates the Game: Interdependence is strongest in oligopolistic markets, like the one for premium custom furniture, where a few players' actions have a large impact.
  • Every Major Decision is Interdependent: Your choices on pricing, product lines, marketing, and investments will all provoke reactions that determine their ultimate success.
  • Business is a Repeated Game: Your actions today shape your reputation and influence how others will interact with you in the future, making cooperation possible and often profitable.

Preview of the Next Lesson:

Now that we've established the principle of interdependence, the next logical step is to start mapping it out. In our next lesson, we will focus on how to systematically identify the possible actions for your woodworking business and your key competitors. This will be our first step toward building the practical decision-making tools, like payoff matrices, that allow you to analyze these interdependent scenarios.

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