Breaking down: "What makes an AI agent's spending decisions rational under a hard budget?"

Identified 4 sub-claim(s) to support

Deep mode: up to 4 paid/cached reads plus one bounded gap-expansion pass when needed.

Discovered 20 verified source(s)

Recalled 60 past runs on this subject — how these sources performed when they were available.

ERC-8004 reputation loaded — composite scores on this subject.

Claim-aware portfolio selected 3/3 positive proposal(s): 3 cached + 0 fresh, predicting 4/4 claim(s) above the evidence floor with $0.000000/$0.015000 fetch USDC reserved.

Free-preview pre-check maps an actionable source to every sub-claim (4/4); paid reading may proceed within the budget.

Agent spend wallet ready: 0x29028Fe1122E17Fe7863A22701e863FE4DaE1aFB (balance sufficient)

Reused cached Agent Economy Weekly — Budgets make agents decide, not just automate (free) — S1

Reused cached Stablecoin Ledger — Stablecoins as the unit of account for agents (free) — S2

Reused cached Onchain Micropayments Digest — Nanopayments and the $0.000001 floor (free) — S3

Sub-claim "Rational spending decisions maximize expected utility subjec…": 30% covered by S1, S2 — S1 mentions an agent under a hard budget must choose what is worth paying for, implying constraint-satisfying trade-offs, but does not explicitly frame decisions as expected-utility maximization. S2 says agents should price expected value against cost in a stable unit of account, which is related but still lacks formal utility-maximization logic.

Sub-claim "The agent must evaluate every expenditure by its opportunity…": 30% covered by S1 — S1 says 'every purchase is a reasoned trade-off,' which suggests comparing options and choosing the best use, i.e., opportunity cost. However, explicit comparison against the best alternative for the same budget amount is not detailed, and no source formalizes this process.

Sub-claim "Rationality requires intertemporal planning so that spending…": 10% covered — None of the gathered texts discuss planning across time, pacing expenditures, or avoiding later shortfalls. S1's discussion is about deciding when to stop reading within a task, which is only tenuously related to intertemporal coordination.

Sub-claim "A rational allocation is one where no reallocation of remain…": 0% covered — No gathered source addresses optimality conditions, marginal utility per unit cost, or reallocation of remaining budget. The content is at a much more informal level and does not touch these concepts.

All subclaims are theoretical aspects of rational decision-making under a budget constraint. The gathered sources provide only high-level motivation or context (e.g., hard budgets force trade-offs, stable accounting helps price value). None of the affordable skipped sources offer substantive content on expected-utility maximization, opportunity-cost formalism, intertemporal budget planning, or marginal utility equalization. Buying more sources would not close the theoretical gap, especially as the available skipped items mostly discuss unrelated topics like double-spend idempotency, payment settlement latency, gardening, or console repair. Therefore, no purchases are recommended.

Final check — "Rational spending decisions maximize expected utility subjec…": 30% assessed by S1, S2

Final check — "The agent must evaluate every expenditure by its opportunity…": 35% assessed by S1

Final check — "Rationality requires intertemporal planning so that spending…": 0% assessed

Final check — "A rational allocation is one where no reallocation of remain…": 0% assessed

Final coverage assessment — The gathered sources do not provide formulation-level support for rational budget allocation: none states maximize expected utility subject to a hard cap, none formalizes opportunity-cost comparison across all alternatives, none addresses dynamic/intertemporal coordination across the budget period, and none states marginal-cost equalization or no-reallocation optimality. S1 broadly notes trade-offs under a hard budget and S2 mentions stable units for value/cost reasoning, but the sources are far too general for these specific claims.

Synthesizing a grounded answer from 3 source(s)…

Rejected 0 invalid evidence span(s) and 3 unsupported citation marker(s); rejected markers cannot receive citation rewards.

No citation passed the evidence gate — the $0.015000 citation pool stays unspent; settled access tolls still stand.

Drafted answer citing 0 source(s)

Confidence: Low — no citation passed the evidence gate.

Done. Spent $0 across 0 confirmed/simulated payment(s) to creators.