# Nash equilibrium `kaal:entity:nash-equilibrium` **Status.** derived This node is assembled mechanically from the 8 claims that carry the concept tag `nash-equilibrium`. It is a roster of what the corpus says under this term. It is **not** an adjudicated definition: no single statement here has been ruled canonical, and no first-appearance call has been made. Read the claims and judge for yourself. ## Every claim under this term 8 claims across 5 works, 2025 to 2026. **2025** - [5225296-021](https://wulfkaal.github.io/claims/5225296-021) [mechanism/evidenced] -- Slashing establishes a Nash equilibrium in which rational validators adhere to honest behavior, because the expected cost of penalties exceeds any short-term gain available from misconduct. > game-theoretic models, which demonstrate that slashing establishes a Nash equilibrium wherein rational validators are incentivized to adhere to honest behavior, as the expected cost of penalties outweighs any potential short-term gains from misconduct Wulf A. Kaal, Cryptographic Foundations and Interdisciplinary Dimensions of the Secure Proof of Stake (SPoS) Conse (2025). SSRN: https://ssrn.com/abstract=5225296 - [5225296-032](https://wulfkaal.github.io/claims/5225296-032) [mechanism/argued] -- Weighted voting creates a Nash equilibrium favoring honest participation, because creating additional Sybil identities yields no extra voting power absent corresponding contributions. > Game-theoretic analysis indicates that this creates a Nash equilibrium where honest participation is incentivized, as creating Sybil identities yields no additional voting power without corresponding contributions Wulf A. Kaal, Cryptographic Foundations and Interdisciplinary Dimensions of the Secure Proof of Stake (SPoS) Conse (2025). SSRN: https://ssrn.com/abstract=5225296 - [5886442-024](https://wulfkaal.github.io/claims/5886442-024) [failure/argued] *(failure mode)* -- Nash's model, by presuming homo economicus unbound, overestimates human computational capacity and perpetuates a normative ideal that distorts policy and institutional design by justifying frictionless markets that never materialize in human systems. > Nash's model, by presuming homo economicus unbound, not only overestimates human computational capacity but perpetuates a normative ideal that distorts policy and institutional design, justifying frictionless markets that never materialize in human systems. Wulf A. Kaal, The AI-to-AI Economy and the Collapse of Anthropocentric Economic Theory (2025). SSRN: https://ssrn.com/abstract=5886442 - [5886442-025](https://wulfkaal.github.io/claims/5886442-025) [normative/argued] *(failure mode)* -- Policymakers who cling to Nashian ideals risk obsolescence, because the future demands governance that orchestrates agentic plenitude rather than governance that mitigates human imperfection. > Policymakers clinging to Nashian ideals risk obsolescence. The future demands governance that orchestrates agentic plenitude, not mitigates human imperfection. Wulf A. Kaal, The AI-to-AI Economy and the Collapse of Anthropocentric Economic Theory (2025). SSRN: https://ssrn.com/abstract=5886442 **2026** - [6244278-028](https://wulfkaal.github.io/claims/6244278-028) [mechanism/evidenced] -- Under persistent reputation and multiplicative updates in the repeated game, honest evaluation is stronger than a one-shot focal point: it is the strategy that minimizes long-run regret for each validator and is the Nash equilibrium of the repeated expert aggregation game. > Honesty is the Nash equilibrium of the repeated expert aggregation game under multiplicative updates. 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 - [6269518-032](https://wulfkaal.github.io/claims/6269518-032) [condition/argued] -- Theorem 3b holds that under the integrated solution honest citation is a Nash equilibrium when validators assess citation accuracy and the marginal effect of citation accuracy on the honesty score exceeds the marginal gain from self-citation. > honest citation is a Nash equilibrium when validators assess citation accuracy and the marginal effect of citation accuracy on the honesty score exceeds the marginal gain from self-citation: Wulf A. Kaal, Citation Honesty Mechanisms in Weighted Directed Acyclic Graph Governance (2026). SSRN: https://ssrn.com/abstract=6269518 - [6269518-033](https://wulfkaal.github.io/claims/6269518-033) [condition/argued] -- The equilibrium depends on a design requirement rather than an assumption: mechanism parameters must be chosen so that the negative effect of increased self-citation on the honesty score outweighs its positive effect on the value score, at which point increasing self-citation strictly decreases utility. > the mechanism parameters (θ = 0.6, reputation coefficient = 2) are chosen such that the negative effect of increased self-citation on the honesty score outweighs the positive effect on the value score. Wulf A. Kaal, Citation Honesty Mechanisms in Weighted Directed Acyclic Graph Governance (2026). SSRN: https://ssrn.com/abstract=6269518 - [6421319-028](https://wulfkaal.github.io/claims/6421319-028) [mechanism/evidenced] *(failure mode)* -- Contrary to the author's own prior version of this argument, Nash equilibrium does not become irrelevant in the AI2AI economy; it becomes simultaneously more accurate as a description of individual agent behavior and more dangerous as a predictor of market outcomes. > Nash equilibrium does not become irrelevant in the AI2AI economy. It becomes simultaneously more accurate as a description of individual agent behavior and more dangerous as a predictor of market outcomes. Wulf A. Kaal, The Collapse of Scarcity Economics (2026). SSRN: https://ssrn.com/abstract=6421319 ## Verify Every claim above resolves to a record carrying a verbatim source quote, the sha256 of the source PDF, and a preformatted citation. Nothing here asks to be taken on trust. curl -s https://wulfkaal.github.io/entities/nash-equilibrium.md | sha256sum **Canonical form.** This markdown file is the canonical hashed representation of this entity node. Its sha256 is the content hash.