The price of the $100,000 fish

This story has stayed with me since I first read it. For a while I couldn’t say why. It reads like an anecdote about trust, and anecdotes about trust are cheap. What gave me the language to explain it was Haim Shapira’s Probably the Best Book on Statistics Ever Written: How to Beat the Odds and Make Better Decisions, which does the patient work of separating what a thing is worth from what you can expect to collect on it. With that distinction in hand, the story stopped reading as a lesson about two men on a dock and started reading as a question about a price.

The fish on the bed

On the first morning of the 2024 Spring Big Bass Bash, Chris Larkins found a fish worth $100,000. The Bash, held twice a year on Lake of the Ozarks, pays that sum to whoever brings in the single heaviest bass of the weekend. The one Larkins spotted was sitting on a spawning bed in a shallow cove, visible without a fish finder, close enough to a residential dock that anyone standing on it could watch. It weighed just under eight pounds. No fish that size had crossed the Bash scales in more than a decade, and the bass that went on to win the tournament that weekend weighed 7.63 pounds. Larkins knew what he had. “I knew it was a winning fish,” he said afterward.

He also knew the tournament’s governing rule: a bass counts only when it is hooked inside the mouth. Larkins brought the fish to the boat foul-hooked, snagged outside the mouth, which meant an immediate release. He tried again and caught it a second time, and again the hook had set outside the mouth. Both times the fish went back on the bed. By then the day’s final weigh-in was too close to make another attempt, so he made the plan any tournament angler would make: come back at first light on Sunday and catch it clean.

Two men had spent much of that afternoon on the nearby dock, watching the whole sequence. Larkins talked with one of them for the better part of four hours and, before packing up, got the man’s word that he would leave the fish alone.

That night a photo went up in a local Facebook group — one of the two men holding the bass, with a caption about pulling it out of a couple feet of water off his dock. By Sunday morning the fish had been filleted and eaten. When Larkins returned and asked, the man allowed that he had not done the filleting himself; his buddy had. The $100,000 fish had become dinner.

The incentives in the water

The story travels as a fable about trust, and it serves well as one. Read that way, though, the whole lesson falls on two men on a dock, and it is a thin lesson. A more useful reading hands the decision back to the incentives sitting in the water that afternoon. The men broke no law. A wild bass in a public lake belongs to whoever lands it, and catching a fish off your own dock and eating it is an ordinary evening. Their choice was a reasonable answer to the situation Larkins left behind. The question worth asking is what that situation priced, and whether he could have priced it differently.

The number everyone fixates on

Begin with the figure the story hangs on. The fish was “worth $100,000,” but only in the hands of someone who could carry it across an official scale and pass the polygraph the Bash administers before it pays a winner. For Larkins on Saturday evening, the fish carried a smaller value than its headline number. It was worth $100,000 multiplied by the probability that he would come back Sunday and land it legally — inside the mouth, on a bass that had already been hooked twice and spooked into spitting the lure repeatedly. Put that probability somewhere between one in four and two in five. That sets the real value of the spot, to him, at roughly $25,000 to $40,000.

The equation V = p × $100,000, with a gauge showing only ~30% ($30,000) as the fish's real expected value.

This is the first correction Shapira builds his book around. Expected value is the size of a payout weighted by the odds of actually collecting it. The headline figure and the expected value are separate quantities, and treating them as one is among the most common errors people make when money and chance sit in the same decision. Larkins was carrying the headline figure. The most he could rationally have spent to hold that fish overnight was capped by the expected value, down in the low tens of thousands — a serious sum, and the sum that should have governed his next move.

What the men were pricing

The men on the dock were running a different calculation, and dollars sat on only one side of it. The tournament prize was beside the point for them; they were never going to weigh that fish in. What they could collect was the story — the bass that would have won a stranger $100,000, caught off their own dock and eaten the same night. In a lake community that story is a durable asset. It gets retold for years, and its value depends on the fact that they never sold it.

This is the second correction, and it runs back to Daniel Bernoulli, whose 1738 resolution of the St. Petersburg paradox sits under everything Shapira’s book does with decisions. The lesson Bernoulli established is that people weigh the usefulness of an outcome rather than its face value in dollars, and usefulness bends. A guaranteed sum carries a different weight than a long-shot windfall of the same size. A story a man can tell for twenty years carries weight that never shows up on a price tag. Measured in utility rather than dollars, the legend was a real competitor to any offer Larkins might have made.

That is why the reflexive fix — slip the men a hundred bucks to keep quiet — would have made things worse. A token payment puts a low, faintly insulting price on a fish the men can see is worth a fortune, and it tells them Larkins thinks they come cheap. Against the utility of the legend, a small sum loses, and it invites the exact spite that ends with the fish in a frying pan.

The question underneath all of it is whether any number worked — a figure high enough to clear the men’s floor and low enough to stay under Larkins’s ceiling of $25,000 to $40,000. If the legend, converted to dollars, was worth more to them than his ceiling, no offer could have moved them, and the fish was lost the instant its value became legible to people with no stake in his weekend. If the legend’s cash equivalent sat lower, a deal was available and Larkins never went looking for it. Told the full story, most people land on the second reading. Two men on a dock have a price at which the windfall beats the tale. The work was to find that price and hand it over in a form they would trust.

The shape of the offer

Here the structure of the offer counts for more than its size. Say the fish is worth $30,000 to Larkins and he offers $10,000 to leave it alone. Handed over flat, that $10,000 competes against the legend on even footing and still carries the whiff of a stranger buying them off. Change the structure instead. Larkins gives each man $500 on the spot and promises another $4,500 on Sunday, once the fish is weighed.

The moment that promised money lands in the men’s accounting as theirs, the calculation flips. This is loss aversion, the load-bearing idea in the prospect theory Daniel Kahneman and Amos Tversky introduced in their 1979 paper and that Kahneman later carried to a general audience in Thinking, Fast and Slow. Building on Bernoulli, they established that people feel the loss of something they count as theirs far more sharply than they feel an equivalent gain. Eating the fish now means surrendering $4,500 each that they have already counted — a loss, and felt as one. The same men who would cheerfully fillet a bass for a good story will protect that bass carefully once giving it up costs them money they believe they already hold. They will protect it from other anglers too, since anyone else landing it wipes out their payday as thoroughly as their own knife would.

The structure turns the men’s loss aversion into a security detail. A smaller total, delivered as something they stand to lose, outperforms a larger total handed over freely.

The handshake got one more thing wrong that the deposit repairs. A promise with nothing behind it binds no one; the man on the dock gave his word and broke it the same evening at no cost to himself. A deposit moves the risk to the other side. It sets money in motion that the men forfeit by defecting, which is the only kind of promise that survives after the person relying on it has driven home. Larkins secured the fish with a verbal agreement at the precise moment he was surrendering his ability to secure it in person. Whatever the handshake could not hold, the structure had to.

What was actually at risk

The fish was never the asset at risk. The visible value of that bass was the asset, and Larkins handed it to two people who had no stake in his outcome and, once the fish was eaten, no reason for regret. A sum smaller than the fish was worth would have kept it on the bed. Its power would have come from its shape — money the two men already held and stood to lose, which guards a fish far more reliably than a word given on a dock. The number that would have kept the fish on the bed existed the whole time. Larkins spent his Sunday morning looking for the fish instead of the number.

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