Agreement without aggregation
An engine for resolving multilateral, sequential decisions
Abstract
Many consequential decisions are multilateral and sequential: several self-interested actors must reach agreement, repeatedly, under uncertainty. This framework presents ƒ, an option-generation engine that resolves such decisions without collapsing the parties into a single objective. The engine is organised as five modules across three layers: representation, deliberation, and commitment. Interests are preserved in their native heterogeneity, options carry explicit feasibility witnesses, evaluations remain per-actor, and commitments are ratified as verifiable records.
1Overview
The engine maps reality to resolution. Declared interests, revealed behaviour, and constraints enter on the left. The engine structures them into an interest graph, generates and scores a feasible space of options, and compiles the chosen option into a governed, executable process. Figure 1 gives the overall shape; the remainder of this framework specifies each module in turn.
ƒ
resolved
Reality
Actors
who declares
Signals
what they prefer
Constraints
what is feasible
History
what was learned
Engine
M1 · Interest graph
structure interests
M2 · Option set generator
enumerate feasible
M3 · Evaluator
score under uncertainty
M4 · Process compiler
compile to DAG
M5 · Governance module
ratify commitments
Resolution
Options
branching feasible space
Commitments
signed promises
Executions
running processes
2Architecture
Five modules are arranged across three layers. Each module is a typed transform with explicit inputs, outputs, and dependencies. Two invariants hold throughout: interests stay native, and commitments stay verifiable.
Layer I · Representation
2.1Interest graph
M1 · foundational
Structured representation of what each actor wants, trades off, and considers infeasible. Modelled as a weighted multigraph where nodes are actors, attributes, and goals, and edges encode preferences, trade-offs, and hard constraints. Interests are preserved in their native heterogeneity, never aggregated into a social welfare function.
- input
- actor declarations, revealed behaviour, elicitation signals, priors
- output
- versioned interest graph G_t, per-actor projections G_t|a
- ops
- query(actor), slice(goal), diff(t1, t2), update(signal)
- deps
- none, foundational
Layer II · Deliberation
2.2Option set generator
M2 · depends on M1
Constructs the space of feasible, executable configurations. Each option carries a feasibility witness and an explicit assumption set. Not a search returning a single optimum, but a structured, filtered option space with guarantees about coverage and feasibility.
- input
- G_t, constraint set C, generation policy π
- output
- option set O_t = { (config, witness, assumptions) }
- ops
- enumerate(π), filter(predicate), expand(option), invalidate(assumption)
- deps
- M1, constraint solver, combinatorial generator
2.3Evaluator
M3 · depends on M1, M2
Scores each option against each actor's projection of the interest graph, under an explicit uncertainty model. Output is a per-actor evaluation vector with point estimates, confidence intervals, and sensitivity decompositions, never a single scalar collapsed across actors. Deterministic given a fixed (o, G_t, U_t, seed) tuple. The engine evaluates; it does not select. o* is chosen by the actors and enters M4 as an input, not an output.
- input
- option o, interest graph G_t, uncertainty model U_t
- output
- E(o) = { per_actor_score, confidence, sensitivity, risk_profile }
- ops
- score(o), compare(o_a, o_b), stress_test(o, scenario)
- deps
- M1, M2, simulation runtime (MC / Bayesian inference)
Consumed by §2.5.
Layer III · Commitment
2.4Process compiler
M4 · depends on M1, M2
Compiles a selected option into an executable process, a directed acyclic graph of tasks with role assignments, checkpoints, preconditions, and escalation handlers. The module emits a specification; it does not execute. The specification is handed to an execution runtime and instrumented for observability.
- input
- selected option o*, actor role map R
- output
- process DAG P with tasks, checkpoints, triggers, escalations
- ops
- compile(o*), validate(P), trace(P, event_log)
- deps
- M2, M1
Consumed by §2.5.
2.5Governance module
M5 · depends on M1, M3, M4
Installs the incentive and commitment scheme that makes the process durable under self-interested behaviour. Emits a versioned policy object specifying opt-in thresholds, penalty functions, reward contingencies, disclosure requirements, reversibility rules. Ratification is an explicit state transition producing a verifiable commitment record.
- input
- process P, evaluations E, actor commitment signals
- output
- policy object Π, ratified commitment C, audit log A
- ops
- ratify(Π), adjust(event), audit(C), revoke(C, trigger)
- deps
- M4, M3, M1
Terminal. Emits the ratified commitment record.