Game-Theoretic Equilibria Simulator
Ki · Single Ability
The Problem
The negotiation between the tech firm and the supplier led to a nash equilibrium miss due to individual payoff bias.
The Operation
When activated, the model must list all parties and each party's primary incentive. Find all Nash equilibria. Check for zero-sum traps in positive-sum situations. Verify if any party has a dominant strategy making cooperation irrational; if so, flag mechanism design needed. Output equilibria, Pareto status, gap to optimum, and closing mechanism. The reasoning applies a formal computation: nash eq = set(strategy profile where no player gains by unilateral deviation). The constraint: never assume cooperation without structural reason.
The Structure
The reasoning structure is an accumulate-classify-decide pattern that gathers evidence, categorizes it, then concludes.
If strategic interactions between agents are analyzed without identifying stable equilibria or dominant strategies, equilibrium simulation was skipped.
Haki · Multi Ability
Synergy Topology
In Haki mode, the API retrieves the primary ability first, then fans out to three synergy roles that compound its reasoning.
When retrieved in Haki mode, these four abilities don't run in sequence. They merge into a single injection where the dependency grounds the reasoning context, the amplifier sharpens the primary's output, and the alternative provides a fallback path if the primary's topology cannot converge. The result is a multi-angle reasoning scaffold that covers failure modes no single ability can reach alone.