Loss aversion describes choices in which losses relative to a reference point can carry different weight from equivalent gains. Prospect theory is a descriptive model of choices under risk and reference points; it is not a staking or recovery formula. In betting, make the reference point and complete cash flows explicit.
Find the reference point
Possible reference points include the balance at the start of a day, the highest balance reached, a deposit amount, a target, or the price first seen. Different reference points can make the same final cash balance feel like a gain or loss. That is why an audit must record the reference rather than infer it later.
| Frame | Neutral record needed |
|---|---|
| "Protect today's profit" | Current cash balance, open maximum loss, and all available actions |
| "Get back to even" | Irrecoverable settled loss separated from the new event |
| "Avoid wasting a free bet" | Full current terms, stake-return rule, expiry, and alternative of no action |
| "Cash out before losing the win" | Hold and cash-out payoff states using the current accepted offer |
Worked neutral frame
Assume a person started with GBP 100, lost GBP 20, and now considers a new GBP 10 stake at decimal 2.00. The account before the new decision is GBP 80. The prior GBP 20 is settled and does not alter the new event probability.
For the new contract:
- if it wins, gross return is GBP 20 and net result for the new bet is GBP 10;
- if it loses, net result for the new bet is -GBP 10;
- if no bet is placed, the new-bet result is GBP 0.
Calling the win "getting halfway back to even" changes the reference frame, not the contract. If the estimated win probability is p, expected net value for the new GBP 10 bet is p * GBP 10 + (1 - p) * -GBP 10. The expected-value definition requires a defensible p; the previous loss is not that evidence.
Frame audit
- Record the current cash position and all open exposure.
- Name the reference point being used.
- Separate settled past outcomes from future payoffs.
- Write every action, including no action, in the same net-cash format.
- Use one probability set for equivalent frames.
- Stop if the purpose becomes recovering losses.
Loss aversion is not the same as sensible risk control. Refusing a loss that exceeds an affordable boundary can be prudent. The concern is whether equivalent choices are evaluated inconsistently because of framing or whether previous losses are being used to justify new exposure.
If repeated attempts to recover losses, difficulty stopping, or effects on essential money, health, or relationships are present, use the NHS gambling-harm support guidance instead of continuing the calculation.
Next step
Use Chasing Losses for the next part of this topic.
Continue learning
- Next guide: Outcome Bias in Betting
- Related guide: Sunk-Cost Fallacy in Betting
Assumptions and limitations
The amounts and even-money contract are illustrative. Prospect theory describes patterns in studied choices and does not determine an individual's motive. Neutral cash-flow framing can clarify a contract but cannot estimate the true probability, guarantee rational behaviour, or make further gambling safe.
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