Konsens
Negotiations

Game theory in the practice of Łódź manufacturing companies

By Ewa Mazur, Decision Analyst·January 14, 2025·5 min read

A small metal stamping plant from Łódź Widzew, employing 19 people, entered a tender against a nationwide holding with turnover counted in the tens of millions. Mathematics showed that the giant had a weak point in logistics costs for orders below 3,800 units per month. We applied a simple game theory model that forced the rival into an error in the third round of price bidding.

Analysis of 38 purchasing decisions

Before we proposed the first amount, we spent 11 days analyzing the historical tenders of this specific client. Konsens Logika doesn't believe in intuition because numbers speak louder than a bluff. We checked the client's last 38 purchasing decisions, looking for repeatable patterns in their purchasing department's behavior. It turned out that in 23 cases, they chose an offer that wasn't the cheapest but had the most stable transport cost structure. This was our starting point that allowed us to build a mathematical model predicting the competition's reactions with an accuracy of 4% margin.

Most companies in Łódź approach negotiations with emotions, trying to guess what the other side will do. We introduced cold calculation into the game. The plant owner, Mr. Marek, initially wanted to lower the price by 12% to ensure a win. After our analysis, it turned out that 6.7% was enough if we struck at the right moment of the bidding. Mathematics has no emotions, so instead of panic, we proposed a precise schedule of moves. We focused on how the competitor reacted in the past to aggressive cuts in the first phase, which allowed us to take control of the pace of talks after just 14 minutes of the meeting.

To be honest, competing with a big player always seems like a struggle against windmills until you break down their strategies into prime factors. Our analysis showed that their operating model is rigid and does not allow for quick price changes at small volumes. This was the gap we exploited. We calculated that at the 47th product in the basket, their fixed costs rise by 19%, making their offer completely unprofitable. This wasn't magic, just pure mathematics and game theory applied on a production floor on Kilińskiego Street, where every second of machine work must match in the spreadsheet.

Analysis of 38 purchasing decisions

Tit-for-Tat strategy in Polish B2B

We implemented the 'tit-for-tat' algorithm, a strategy adapted to the realities of the Polish components market. The rule was simple: we start with cooperation and a fair price, but for every aggressive move by the rival, we respond immediately with the same. If the competition lowered the price by 400 PLN, we dropped by 405 PLN in the next step. We check 12 behavioral variants before making a move, which gives us a psychological advantage. The rival quickly noticed that every attempt to push us out of the market cost them twice as much as their marketing budget assumed.

In the third round of negotiations, a key moment occurred where mathematics met business psychology. Representatives of the giant began making calculation errors because our model forced them onto the constant defensive. Your rival had already calculated their chances, but we calculated them better. Applying game theory allowed us to maintain a margin of 8.2%, while the competitor fell below 3%, forcing their board to withdraw from bidding for fear of a loss in the next quarter. This is a classic example where a smaller entity wins thanks to better analytical preparation.

Let's remember that negotiations aren't about winning at any cost, but about winning on your own terms. Our client gained a 3-year contract ensuring machine load at 84%. Had they gone in blind, they likely would have signed a contract at the limit of profitability. Thanks to the 47 projects we've served at Konsens Logika, we know that stability is more important than a one-time shot. The tit-for-tat strategy teaches rivals respect for your price limits, which pays off in subsequent years of cooperation with the same contractor.

Mathematics has no emotions. Instead of panic, we proposed a precise schedule of moves.

When to let go of a bid?

Often the hardest decision in game theory is the moment of withdrawal. At Konsens Logika, we always set a 'critical point' beyond which a project becomes toxic for the company. In the described case of the Łódź stamping plant, this point was 41.50 PLN per unit. We saw the competitor drop to 40.00 PLN, trying to provoke us. Thanks to our calculations, we knew they were doing it at a loss, counting on our fatigue. We didn't fall for it because the numbers were clear: at this price, every unit produced was a 2.10 PLN net loss.

Instead of bidding further, we changed the game parameters. We proposed a longer payment guarantee to the client in exchange for keeping our price at 43 PLN. The client, seeing the giant's desperation and our composure backed by hard data, chose delivery security. This was a lesson for everyone: mathematics allows you to see what eyes clouded by the desire for victory cannot. We won this contract not with the lowest price, but with the best-calculated operational risk, which is the foundation of healthy business in the Łódź region.

It's worth adding that 6 months after that tender, the giant that competed with us had to close one of its production lines in central Poland. Their aggressive price policy, not backed by mathematical models, led to liquidity problems. We, on the other hand, calmly fulfill orders for our client, maintaining financial liquidity and the ability to invest in new machines. This is proof that the Konsens Logika analytical bureau delivers real value that protects companies from their own bad decisions.

When to let go of a bid?

Practical conclusions for your company

If you run a manufacturing company in Łódź or the surrounding area, you don't have to fear bigger players. They usually act according to patterns that are easy for a skilled analyst to dismantle. The first step is always collecting data on competition – not rumors, but concrete numbers from previous years. At Konsens Logika, we start by auditing 14-20 of your recent offers. This allows us to understand where your money is leaking and at which points in negotiations you're giving ground to a rival unnecessarily.

Second conclusion: never enter a game without a backup scenario. Game theory teaches us that there are always at least 3 exit paths from any negotiation situation. We prepare a roadmap for our clients that contains specific answers to every possible opponent move. Heads-up: if you don't have a plan for when a rival drops the price by 20% in the last minute, it means you've already lost. Our models allow us to predict such a scenario and prepare a counter that won't destroy your margin.

Finally, remember that mathematics is the only hard tool in business that doesn't follow fashions. We check 12 behavioral variants because we know the market is unpredictable but not illogical. Konsens Logika helps turn this logic into profit. Since 2017, we have been supporting local plants in winning tenders they were previously afraid to touch. Your company has the potential to compete with the best, provided you let the numbers lead your negotiations. We invite you for a consultation on Kilińskiego Street, where we will show you how numbers change the balance of power.

We won this contract not with the lowest price, but with the best-calculated operational risk.