
Every day, jewelry retailers face a high-stakes game. A customer tries on a $3,000 diamond ring, thanks the staff, and leaves to consider the purchase. The retailer wonders: follow up tomorrow, offer a discount, or wait for the customer to return? Meanwhile, the customer ponders the ring’s value and whether to look elsewhere.
This scenario, though not framed as such, is a classic example of game theory—the study of strategic decision-making where outcomes depend on the actions of others. In this case, both the retailer and the customer are making choices while anticipating the other’s moves.
Understanding the Rules of the Game
One key concept in game theory is the Nash Equilibrium, named after mathematician John Nash Jr., whose life was portrayed in the film A Beautiful Mind. This equilibrium describes a situation where no player has an incentive to change their strategy because, given what everyone else is doing, their current approach is the best available option.
The Nash Equilibrium in Retail
Consider a medium-sized city where jewelry retailers operate from 9 am to 6 pm. This arrangement persists because if one store closes while others remain open, it risks losing sales. This is an equilibrium where no individual retailer has an incentive to change their hours due to the actions of others.
The principles of the repeated game are also relevant. In this concept, the same players engage in multiple games sequentially, and reputation influences future actions. This is evident in professional poker, where players adapt strategies based on opponents’ past actions.
A retailer might sacrifice some profit on the first sale to increase the likelihood of profitable transactions over time. This approach recognizes the lifetime value of the customer relationship, as explained: “It means recognising the relationship’s lifetime value and making decisions accordingly.”
Returning to the customer with the $3,000 diamond ring, the best decision depends on anticipating her next move and what the retailer wants her to do after that. The most successful jewellers are those who convince customers to keep playing the game, not just those who win individual sales.
Strategic Adaptation in Repeated Interactions
This dynamic also applies to jewelry retail, where the focus shifts from winning a single sale to supporting long-term customer relationships.
Industry Norms and Strategic Choices
Many retail practices, such as trading hours, window displays, and discounting, are maintained because they are industry norms rather than profit-driving strategies. Retailers often continue these practices without questioning their effectiveness. Sometimes, competitive advantage comes from being the first to stop doing something that everyone else does.