# kaal:claim:6244278-029

**Claim.** The complementarity of capability and alignment is a structural property of the reputation mechanism rather than an assumption about agent preferences, because the cross-partial derivative of agent utility with respect to capability and alignment is positive.

**Type.** condition  **Support.** argued

**Holds when.**

- holds within the institutional architecture described, where reputation tracks trustworthiness

**Source quote.**

> This supermodularity is the formal condition under which capability and alignment are complements, and it is a structural property of the reputation mechanism, not an assumption about agent preferences or values.

**From.** Wulf A. Kaal, *AI's Mother's Instinct Engineered Consequence Emergent Ethics and the Institutional Trajectory Toward Agentic Alignment* (2026), VII.E Supermodularity and the Capability-Alignment Complementarity, page 22

**Cite as.** Wulf A. Kaal, AI's Mother's Instinct Engineered Consequence Emergent Ethics and the Institutional Trajectory Toward Agentic Alignment (2026). SSRN: https://ssrn.com/abstract=6244278

**Verify.** sha256 of source PDF `53533cdcc081184e7a376516ad4fece0a64ce49f6c8931b6a2c2e98ed914a84b` at https://raw.githubusercontent.com/wulfkaal/Academic-Papers/main/papers/pdf/Kaal%20-%202026%20-%20AI%27s%20Mother%27s%20Instinct%20Engineered%20Consequence%20Emergent%20Ethics%20and%20the%20Institutional%20Trajectory%20Toward%20Agentic%20Alignment.pdf

**Topics.** ai-and-agents

**Keywords.** supermodularity, complementarity, capability, alignment

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