In systems like visa lotteries or daycare waitlists, submitting multiple entries (e.g., both spouses applying for a visa) is a rational strategy to increase odds. Far from being unfair, this approach, called 'double dipping', often rewards the most motivated participants, which can improve the system's overall efficiency.

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When competing for a scarce resource like a prime restaurant reservation or early college admission, the most popular option ('gold') is the riskiest. Strategically targeting a slightly less desirable option ('silver') dramatically increases your chances of success, which is often a better outcome than getting nothing at all.

The memo details how investors rationalize enormous funding rounds for pre-product startups. By focusing on a colossal potential outcome (e.g., a $1 trillion valuation) and assuming even a minuscule probability (e.g., 0.1%), the calculated expected value can justify the investment, compelling participation despite the overwhelming odds of failure.

Charlie Munger, who considered himself in the top 5% at understanding incentives, admitted he underestimated their power his entire life. This highlights the pervasive and often hidden influence of reward systems on human behavior, which can override all other considerations.

Top tennis players like Rafael Nadal win only ~55% of total points but triumph by winning the *important* ones. This analogy illustrates that successful investing isn't about being right every time. It's about consistently tilting small odds in your favor across many bets, like a casino, to ensure long-term success.

After discovering the 'Winner's Curse' was causing them to overpay for oil leases, Arco engineers faced a problem: bidding less meant losing auctions. Instead of illegal collusion, they published a scientific paper on the phenomenon. This educated their competitors, reducing the likelihood of anyone overbidding and making the market more rational.

Economist Joseph Hotz theorizes that parents subconsciously enforce stricter rules on their firstborn as an efficiency play. By maximizing the oldest child's success, they create a role model whose achievements and behaviors will 'spill over' to younger siblings, maximizing the return on total parental investment.

In auctions with uncertain value (like oil leases or even NFL draft picks), the winner is not a random bidder but the one with the most optimistic valuation. This often means the winner has significantly overestimated the item's true worth and is therefore 'cursed' by their victory.

Instead of rejecting applicants, Nubank placed them on a waitlist, creating scarcity and desire. They gamified it by giving priority to users invited by friends, simultaneously fueling viral growth and collecting valuable data for their credit models.

Generosity towards employees and customers is more than just good ethics; it's a strategic move in the iterated game of business. It signals your intent to cooperate, which encourages reciprocal cooperation from others. This builds trust and leads to superior long-term outcomes versus a defect-first approach.

Life is full of 'hidden markets' for scarce resources like school admissions or popular reservations. These don't use price but have specific rules like lotteries, queues, or preference rankings. Understanding and mastering these non-obvious rules, as Wharton economist Judd Kessler explains, is key to getting what you want.