Tensions in Practice: Coverage changes the incentive to take care¶
An invented equipment protection agreement
An operator can take hidden care costing 1 unit. In this toy model it lowers the chance of an 8-unit loss from 3/4 to 1/4, but cannot eliminate bad luck. Compare full coverage with coverage of half the loss. The cells show the operator’s expected cost, not observed behavior: the action with the lower private cost changes when some loss remains with the operator.
Insulate against noisy losses
Protect the operator from outcomes that can occur even after taking care.
Keep prevention privately worthwhile
Let the operator’s own cost reflect part of the effect of hidden care.
Why these aims pull against each other
Full coverage removes the operator’s loss exposure but also its loss-related incentive. Partial coverage restores that incentive here while charging the operator for some unlucky outcomes.
Choose an arrangement to see what changes and what remains difficult.
Compare the same rows across alternatives. Cells state explicit toy quantities, membership or permissions; colors do not supply additional meaning.
What this choice protects
What it costs
When it fits
Compare the arrangements
Cover the whole loss
The provider pays all 8 whenever a loss occurs. A fixed participation fee, if any, is the same for both actions and omitted.
| Care cost | Expected loss share | Total | |
|---|---|---|---|
| No care | 0 | 0 | 0 |
| Take care | 1 | 0 | 1 |
- What it protects
- The operator bears no random loss bill, including after careful action.
- What it costs
- Care adds 1 to private cost while preventing no privately borne loss; no-care is cheaper under the declared payoff calculation.
- When it fits
- Plausible when protection from loss is especially valuable and care is sustained through motives or mechanisms outside this toy calculation.
Illustration note: This is an editorial, deliberately bounded illustration. Its stated rules and any numbers are invented, not observations, recommended settings, or predictions.
Cover half the loss
The operator pays 4 if a loss occurs; the provider pays the other 4.
| Care cost | Expected loss share | Total | |
|---|---|---|---|
| No care | 0 | 3 | 3 |
| Take care | 1 | 1 | 2 |
- What it protects
- Care now lowers expected private cost from 3 to 2, giving a self-interested cost minimizer an incentive to take it.
- What it costs
- Even a careful operator can lose 4. Risk exposure and affordability are not captured by expected cost alone.
- When it fits
- Plausible when the operator can bear this stipulated exposure and its incentive effect matters; it is not an optimal contract claim.
Illustration note: This is an editorial, deliberately bounded illustration. Its stated rules and any numbers are invented, not observations, recommended settings, or predictions.
What this illustration does—and does not—establish
The source establishes the structural tension; the concrete alternatives and their conditional costs are editorial synthesis. No arrangement is a universal recommendation.
- All probabilities, costs and response assumptions are invented. Expected-cost minimization is a modeling assumption, not a diagnosis of negligence or actual human behavior.
- Losses occur after either action, so a bad outcome alone does not reveal the action. No contract optimum, premium, welfare ranking or real sizing advice is supplied.
Source entries
Moral Hazard
Moral hazard T 1 supplies the local tension. The setting, alternative arrangements, and stipulated consequences are editorial applications.
Insurance-Incentive Tradeoff Is Irreducible
Failure mode: critiques of moral hazard often call for eliminating insurance to restore incentives (losing the risk-sharing benefit) or critiques of under-coverage call for fuller insurance (losing the incentive benefit), without recognising that the tradeoff is structural.