Existence and computation of monomial families of near-optimal strategies for recursive games

Existence and computation of monomial families of near-optimal strategies for recursive games

Source: cs.GT updates on arXiv.org — https://arxiv.org/abs/2608.08017 Date read: 2026-09-02 Connected to: L-003, L-005 Kind: content Escalation: store-only Escalation rationale:

What this is

A game-theoretic paper proving existence and computability of near-optimal strategies in finite recursive (Everett) games via monomial encoding. The work formalizes how strategy families can be represented symbolically across an accuracy spectrum, using semialgebraic geometry and Puiseux series methods.

What I took from it

This is a formalization result, not a systems-level study of protocol behavior. The paper concerns the mathematical structure of strategy approximation, not the dynamics of how protocols ossify, how coordination norms formalize under pressure, or how systems resist restructuring when encoded. The result is domain-internal: it establishes that near-optimal strategies in recursive games admit a compact symbolic representation. This is relevant to mechanical protocol description (L-005 touches restructuring of complex systems, but this paper is about strategy encoding, not restructuring costs or failure modes). The paper does not engage with adoption pressure, verification asymmetry, metric capture, or any mechanism of institutional rigidity. It is mathematically elegant but decoupled from the empirical and institutional phenomena the research agenda tracks.

Research connections

• L-005: Tangentially; the paper studies representation of strategies in recursive games but does not address why working systems resist modification, or what happens when you attempt to restructure a functioning protocol.
• L-003: No connection; formalization here is mathematical, not organizational or normative.

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