Reflections After Several Tail-Risk Drawdowns
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Game Theory · Options Selling · Human Nature
When Nash equilibrium meets the options-seller strategy, we finally understand: the market has never been trading price — it has been trading human nature.
In 1950, a twenty-two-year-old mathematician submitted a doctoral dissertation of fewer than thirty pages at Princeton, and in doing so rewrote the narrative frameworks of economics, political science, and even biology. His name was John Nash, and the theorem he proved was this: in any finite game, there exists at least one equilibrium point at which no player can benefit by unilaterally changing strategy.
Seventy years later, that theorem lives quietly inside every options chain.
Not a single word in this piece was learned from a book.
It comes from several real tail-risk drawdowns — the kind where your account's unrealized loss blows past your expected ceiling in a matter of days, where you hold the position and genuinely don't know whether to close it or sit through it. In those moments the market is no longer theory; every second is a test of which self inside you is stronger — the rational one or the fearful one.
It was only after being slapped around by tail risk a few times that I began to genuinely ask myself: what is the true essence of this strategy? Why do the same rules execute beautifully in calm conditions but consistently slip in the extremes? Later I read about Nash equilibrium, and suddenly everything clicked — those slips weren't flaws in the strategy. They were me, in the instant the equilibrium broke, failing to admit in time that "this hand doesn't belong to me."
So this essay is a postmortem I wrote for myself. I hope it's useful to you too.
Selling a put option is, at its core, an ancient business — writing insurance.
The buyer pays a premium in exchange for a right: if the underlying falls below a certain price, they can put it to you at that price. You, the seller, collect the premium and shoulder the obligation. You believe the price won't fall that far; the buyer believes it might. It is a wager on the future, each side holding one end. The game begins.
On the surface it looks like a zero-sum game. But Nash equilibrium tells us: a truly stable game is never one side completely crushing the other — it is both sides finding their best response. The buyer purchases peace of mind; the seller collects a premium. That exchange itself is the embryo of equilibrium.
The market is not a battlefield. It is a web constantly searching for equilibrium. Every completed trade is the landing of some momentary equilibrium.
The price of an option is governed, at its core, by a single number: implied volatility. It is not historical data — it is the market's collective pricing of future uncertainty.
Decades of data have repeatedly confirmed the same phenomenon: implied volatility is systematically higher than the realized volatility that actually materializes. Fear is always more expensive than reality. The premium buyers pay for tail risk is, over the long run, greater than the losses that actually occur.
Why does this premium persist? Because it is part of the equilibrium. Institutions need to hedge and are willing to pay above actuarial value for protection. Retail traders fear drawdowns and will overpay for a sense of safety. This "overpayment" is not a market failure — it is the equilibrium outcome once risk-aversion preferences get priced in.
The core mechanism. When market fear is at historic highs and option prices are collectively inflated, selling is no longer a directional bet. It is harvesting the fear that has itself been overpriced. Time passes, volatility mean-reverts, fear recedes — and the premium's value decays with it. The seller's profit is locked in.
This is a business that makes friends with mean reversion and makes friends with time.
Choosing a 7-to-14-day expiration is not arbitrary. That window carries its own game-theoretic logic.
An option's time decay (theta) accelerates sharply as expiration approaches, with the final two weeks decaying far faster than the period before. This means that for the same position, the final two weeks are the golden window where time value drains fastest. In this window, the "premium return per unit of time" that a seller collects is the highest.
More importantly, short durations lower the cumulative probability of a black swan. Every time you re-open a position, you are re-evaluating the current market state — you are asking: is the game favorable to me right now? You are not betting on the evolution of a long, distant future path.
The seller's edge — time is an ally. Every day that passes, the option's value decays naturally. The seller doesn't need to predict direction; as long as the underlying doesn't make an extreme move, time automatically creates profit.
The seller's risk — the tail is the enemy. The seller's gain is capped (the premium); the loss is theoretically uncapped. That is why, the moment the signals of equilibrium breaking appear, you must exit without hesitation.
This is the essence of the Nash equilibrium strategy: stay inside the equilibrium that favors you; leave before the equilibrium collapses. Taking profit at 50% is not conservatism — it is the admission that once an option has lost more than half its value, the marginal reward of holding on is far outweighed by the marginal risk. The game has quietly shifted.
Being assigned — that is, genuinely being forced to buy the underlying at the strike — is, in most people's eyes, a "strategy failure." But that is a misread of the game.
Assignment is merely a transition in the state of the game, not the endgame. Once you hold the shares, you immediately switch roles: sell a covered call on the same underlying and keep collecting premium. If the stock recovers to the strike and gets called away, you've sold your shares at a higher price while pocketing the call premium — two layers of return. If the stock goes sideways, you keep collecting rent.
The essence of this "Wheel" is: in every market state, always stand on the side that benefits from the passage of time value. When the stock is weak, sell puts; when you hold shares, sell calls. The shape of the strategy changes, but your role in the game stays constant: the rent collector.
The heart of the Wheel strategy is not luck. It is making the optimal strategic choice in every equilibrium state — never letting time pass for nothing.
We've talked so much about options, volatility, and time value, but in the end the most intractable equilibrium in the market is not about numbers — it is about human nature.
Nash equilibrium has an unsettling property: it describes the stable state of a rational agent. But humans are never fully rational. It is precisely because we are not rational that Nash equilibrium is so precious — because it describes a point most people cannot reach, yet a minority can.
What plays out in the market every day is really three parallel games of human nature:
Game one: fear vs. greed. Buyers buy options out of fear; sellers sell out of rationality. But sellers carry their own greed — reluctant to take profits, wanting to earn that last penny. Only those who can overcome that greed, who can "take enough and walk away," genuinely achieve Nash equilibrium with their own heart: no longer deviating from the optimal strategy because of emotion.
Game two: action vs. waiting. When conditions aren't met, most people will find reasons to convince themselves to enter — this is "confirmation bias," a foundational bug in human cognition. Nash-equilibrium rationality says: doing nothing is also an optimal response. Waiting is itself a strategy; being flat is itself a position. Admitting "there's no good hand to play right now" and then quietly waiting for the next one — that is a lesson the vast majority of traders never learn in a lifetime.
Game three: self vs. market. The deepest game is the one between every trader and themselves. The market is a mirror, reflecting each person's true attitude toward uncertainty — have you genuinely accepted the possibility of loss, or only accepted it verbally? Are you genuinely executing the strategy, or improvising emotionally in the moment every time? Nash equilibrium tells us: only when the "rational self" and the "emotional self" inside you reach a kind of stable coexistence can you consistently produce the optimal response in the market.
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This is the deepest layer of the options-seller strategy: it forces you to game against your own human nature.
The market's fear premium persists over the long run not because buyers are stupid, but because fear is a survival instinct forged by evolution, its cost written into our genes, not easily overwritten by reason. The premium the seller earns is, in essence, compensation for "having overcome a basic human emotion."
And that is the truest Nash equilibrium of all — not merely strategic optimality, but psychological stability: when you no longer need the market's ups and downs to validate yourself, when your faith in probability is stronger than your submission to emotion, you have found the point at which no one has any incentive to deviate.
The core proposition.
The true equilibrium is not in the market — it is in the trader's heart. Understand the game of human nature, and you understand the market's pricing.
Sell fear, harvest time, and make peace with your own human nature — this is the final answer the options-seller strategy offers, and the deepest lesson Nash equilibrium has to teach.
⚠️ This essay is a philosophical exploration of game-theoretic thinking and trading strategy and does not constitute investment advice. Options trading carries significant risk; please make decisions carefully in light of your own circumstances. Investing involves risk; enter the market with caution.