REVEALED PREFERENCE · PROFILE 0.2-RP1

Make the choice real.
Keep the estimate honest.

At seven residence milestones, a separately preregistered substudy offers a genuine choice: continue with the robot or take a randomized alternative study benefit. The choice is honored, nonresponse remains visible, and the resulting reservation value stays interval-censored and outside W.

7FIXED MILESTONES
1RANDOM OFFER EACH
0PRIMARY-COHORT UNITS
0RANKING EFFECT
01 / IDENTIFICATION DESIGN

Behavior, not praise.
Bounds, not guesses.

A binding offer reveals whether the participant's reservation value lies above or below that offer. It does not reveal an exact personal price.

01SEPARATE COHORT

Preference participants are never pooled into the primary W survival cohort.

02RANDOM OFFER

One offer is drawn independently from the frozen benefit lattice at every reached milestone.

03BINDING CHOICE

Keep means continued access; benefit means the alternative is delivered and robot access ends.

04NO FALSE PRECISION

One binary choice reveals an interval, so the median is reported as a set—not an invented point.

02 / FROZEN CLOCK

Seven choices.
One longitudinal curve.

Every milestone reached by an eligible environment creates one due record. Silence is retained as nonresponse; an early benefit choice ends access and therefore ends future eligibility.

01100H
02500H
031,000H
042,500H
055,000H
067,500H
0710,000H
03 / SET IDENTIFICATION

One choice gives
one inequality.

KEEP ROBOTR ≥ randomized offer

TAKE BENEFITR < randomized offer

At each milestone, the empirical median is published as the sharp interval [lower, upper). An unbounded upper endpoint remains ∞; zero completed choices remain null.
04 / LOCAL REPRODUCTION

Retain every choice.
Rebuild every bound.

The checker derives due milestones from exposure, validates randomization and binding outcomes, then reproduces all seven interval summaries.

LOCAL RESERVATION-VALUE REPRODUCERPROFILE / 0.2-RP1
CHOICE INTEGRITYINVALIDOne or more hard gates failed.
REVEALED PREFERENCE IS SECONDARY EVIDENCE

It measures the offered benefit participants choose the robot over. It does not measure wealth-adjusted welfare, and it cannot compensate for rejection, burden, or unsafe behavior.

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