{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp04_retrieval_first_paired20_20260802","cell_id":"invariant_mode_decomposition_design__economics_finance","arm":"RETRIEVAL_FIRST","candidate_id":"C-H2-RF-v0","hypothesis_id":"H2","version":0,"title":"Spectral consent sequencing for distressed-debt restructurings","problem":"Viable debt restructurings can stall when fragmented creditor veto or exclusion rights create an anti-commons. Teams that prioritize creditors mainly by claim size can miss small but structurally central creditor-right edges that sustain consent deadlock.","actors":["Distressed borrower","Restructuring coordinator or financial adviser","Creditor and claim-right holders","Creditor committees or coordinating institutions","Borrower and transaction counsel","Client representatives authorized to approve negotiation tactics"],"observable_state":"Within one restructuring, a creditor-right graph shows multiple independently controlled consents, waivers, or blocking rights; solicitation history contains repeated rounds or unresolved dependencies; and at least one smaller claimant occupies a consent path whose nonparticipation prevents or materially delays the required coalition despite larger claims having agreed.","consequence":"The restructuring remains deadlocked or requires additional consent rounds, increasing coordination cost and delaying completion for the distressed borrower and restructuring team.","affected_objective":"Reduce the number of consent-solicitation rounds and coordination burden required to assemble a legally sufficient restructuring coalition without weakening legal, fiduciary, or process safeguards.","intervention":"Construct a directed, restructuring-specific graph whose edges represent creditor-held consent, waiver, or exclusion rights and whose nodes represent the relevant parties or consent states. Rank creditor-right edges using spectral centrality, then perturb candidate edge resolutions in a consent-sensitivity sweep to estimate which feasible next action would most reduce deadlock. Present the ranking as decision support for choosing the next outreach; any side payment or rights purchase remains a separately reviewed option requiring existing legal and client approvals.","structural_mapping":[{"archetype_element":"Transformation Scope","domain_realization":"The transformation is the update from the current consent configuration to the next configuration after one feasible creditor action within a single distressed restructuring."},{"archetype_element":"State-Vector Definition","domain_realization":"The state records creditor-right edges, current consent or waiver status, applicable voting dependencies, and unresolved blocking paths at a specified solicitation round."},{"archetype_element":"Invariant or Approximately Invariant Mode Basis","domain_realization":"Spectral modes of the directed consent-dependency operator represent combinations of creditor-right edges that remain structurally influential under repeated coalition updates."},{"archetype_element":"Modal Gain Spectrum","domain_realization":"The spectrum measures how strongly unresolved consent patterns persist or propagate through the modeled dependency structure."},{"archetype_element":"Dominant Mode Selection Rule","domain_realization":"Retain a mode only when its spectral separation is adequate and resolving an edge with substantial loading also produces material modeled consent progress."},{"archetype_element":"Modal Intervention Map","domain_realization":"Map highly loaded, high-sensitivity creditor-right edges to feasible next steps such as outreach, while flagging side payments or rights purchases only as approval-dependent possibilities."},{"archetype_element":"Mode-Coupling Register","domain_realization":"Record when resolving one right changes the relevance, leverage, or feasibility of other creditor rights, preventing independent interpretation of coupled holdouts."},{"archetype_element":"Reconstruction Residual Check","domain_realization":"Compare predicted binding holdouts and reconstructed solicitation progress with the observed round-by-round history, preserving unexplained legal or bargaining effects as residuals."},{"archetype_element":"Interpretation Scope Contract","domain_realization":"Treat scores as restructuring-specific prioritization signals, not proof of creditor intent, legal entitlement, causation, or globally optimal settlement terms."},{"archetype_element":"Mode Drift Monitor","domain_realization":"Recompute the ranking after material consents, claim transfers, amended terms, court rulings, or changes in voting structure."}],"mechanism_mapping":[{"mechanism_slug":"network_spectral_centrality_analysis","role":"Represent consent dependencies as a directed connectivity operator and assign structural-importance scores to creditor-right edges rather than equating importance with claim size.","counterfactual_removal":"Without this mechanism, the proposal loses its modal lever and reduces to conventional creditor mapping or non-spectral sequencing."},{"mechanism_slug":"power_iteration_probe","role":"Estimate the dominant consent-network mode and its separation from competing modes when a full decomposition is unnecessary, while withholding a unique ranking when convergence or the spectral gap is inadequate.","counterfactual_removal":"Without this mechanism, the workflow lacks a bounded way to obtain and qualify the dominant spectral ranking, although another spectral solver could substitute at greater scope."},{"mechanism_slug":"modal_sensitivity_sweep","role":"Perturb the modeled resolution of each candidate creditor-right edge and rank feasible actions by their effect on coalition completion, consent rounds, and cross-edge dependencies.","counterfactual_removal":"Without this mechanism, centrality remains descriptive and cannot distinguish a prominent edge from an edge whose resolution actually changes the consent objective."}],"causal_chain":["Fragmented consent and exclusion rights create multiple blocking paths to a legally sufficient coalition.","Claim-size or legal-class ordering can overlook a smaller creditor-right edge embedded in a structurally dominant blocking pattern.","A restructuring-specific directed graph makes those consent dependencies explicit.","Spectral analysis identifies creditor-right combinations that dominate the modeled propagation or persistence of deadlock.","A consent-sensitivity sweep tests which feasible edge resolution most changes the coalition state and reveals cross-effects among rights.","The coordinator receives a ranked next-outreach recommendation with gap, residual, legal-feasibility, and uncertainty flags.","If the ranking identifies binding holdouts more accurately than the baselines, fewer modeled solicitation rounds are required; if it does not, the intervention is rejected."],"baseline":"Current creditor mapping and sequencing by claim size, legal class or priority, voting power, enforceability, creditor type, committee structure, and adviser bargaining judgment, with established incentives, deadlines, inter-creditor coordination, collective-action provisions, or majority-voting mechanisms used where applicable.","nearest_rivals":["Claim-size ranking of creditors","Legal-priority or voting-power sequencing","Creditor-type, committee, and bargaining-judgment sequencing described in established restructuring practice","Contractual holdout management through collective-action, majority-voting, inter-creditor, incentive, and deadline mechanisms","Historical syndicated-lending centrality models using degree, closeness, or betweenness to explain renegotiation outcomes","Eigenvector-related targeting in financial-exposure networks for contagion or systemic-loss reduction"],"remaining_contrastive_claim":"Within a single distressed restructuring, prospectively ranking creditor-right edges by spectral centrality plus consent sensitivity to select the next outreach, side payment, or rights purchase will identify binding holdouts and reduce consent rounds better than claim-size or legal-priority sequencing.","authority_safety":{"decision_authority":"The restructuring coordinator may prepare and present the analysis; the distressed borrower or other authorized client decision-maker retains tactical authority, subject to transaction counsel, applicable voting and process rules, fiduciary duties, confidentiality restrictions, and any additional approval required for transfers or consideration.","authorized_first_step":"Perform a retrospective, read-only replay on completed restructurings using lawfully available case records; produce rankings and simulated next-outreach recommendations without contacting creditors or changing any live negotiation.","excluded_actions":["No autonomous creditor contact, solicitation, threat, commitment, or representation","No payment, side payment, inducement, claim purchase, rights purchase, transfer, or amendment","No circumvention of collective-action clauses, voting rules, creditor equality requirements, court orders, fiduciary duties, sanctions, or other applicable legal constraints","No use or disclosure of confidential creditor information beyond its authorized purpose","No inference that a spectral score establishes creditor intent, bad faith, legal priority, or entitlement","No replacement of counsel, valuation, feasibility, fairness, or conflicts review","No deployment in a live restructuring during the first evidence step"],"halt_rollback":"Halt analysis for a case if the consent graph cannot be supported from the record, edge direction or legal effect is disputed, the leading mode lacks adequate separation, results are unstable to reasonable graph specifications, or residuals remain structured and decision-relevant. Withdraw the ranking, revert to the documented baseline workflow, preserve an audit record, and require re-specification and authorized review before reuse."},"negative_tests":{"strongest_counterevidence":"The closest prior art already links lender-network centrality to private-debt renegotiation likelihood, rounds, and amendments, while established restructuring practice already maps and sequences creditors and manages holdouts. The residual distinction is therefore limited to prospective, restructuring-specific spectral and sensitivity ranking of consent-right edges for selecting the next creditor action.","problem_falsifier":"The stated problem is not present if completed-case reconstruction shows no materially fragmented veto or exclusion structure, no recurring consent deadlock, or no instances in which smaller structurally positioned rights remain binding after larger claims consent; it is also undermined if observed delay is explained by non-consent constraints outside the graph.","intervention_falsifier":"The intervention is falsified if a pre-existing adviser workflow, product, patent, or empirical study already models restructuring-specific consent dependencies as a graph and operationally selects the next creditor action using eigenvector or related spectral sensitivity, or if case-level validation shows that the proposed ranking does not outperform claim size or legal voting power and does not reduce simulated rounds by at least 15%.","risks":["Consent graphs may encode contested or incomplete legal interpretations.","Centrality can localize on a hub or become unstable when leading modes are nearly tied.","A retrospective graph may leak information that was unavailable at the historical decision point.","Sensitivity estimates may mistake local modeled leverage for a causal effect of actual outreach.","Strategic creditors may react to sequencing, invalidating a fixed operator.","Claim transfers, amended terms, and court decisions can rapidly rotate the relevant modes.","Simulation assumptions about consent after outreach may manufacture apparent round reductions.","Scores could be misused to justify unequal treatment, coercive tactics, or unnecessary side payments.","Residual bargaining, valuation, political, or interpersonal factors may dominate the modal representation."]},"next_evidence_step":"Run a bounded retrospective walk-forward study on up to 20 completed restructurings with sufficient round-level consent records. For each historical round, freeze the information available at that time, have counsel or an authorized domain reviewer encode the directed creditor-right graph, and compare the combined spectral-centrality-plus-sensitivity ranking against claim-size and legal-voting-power rankings for prediction of the next binding holdout. Separately replay solicitation under one predeclared, common transition rule to estimate rounds to a legally sufficient coalition. Report per-case and pooled prediction results, simulated-round differences, spectral gaps, specification sensitivity, missing-data rates, and residual structure; proceed beyond research only if the combined method outperforms both baselines and achieves at least a 15% simulated-round reduction without material legal-modeling exceptions.","prior_art_status":"SEARCHED_BOUNDED","revision_record":{"parent_version":null,"progress_targets_addressed":[],"conceptual_changes":[],"operational_changes":[],"evidence_changes":[],"claim_changes":[]}}