# kaal:claim:6269518-006

**Claim.** The PageRank calculation used for citation-weighted payment is a zero-sum redistribution mechanism with respect to citation weights: any increase in the credit agent i attributes to agent j necessarily decreases agent i's own value.

**Type.** mechanism  **Support.** argued

**Holds when.**

- column-stochastic citation matrix with weights summing to one per agent
- PageRank-derived value vector determines payment

**Source quote.**

> The critical observation is that the PageRank calculation is a zero-sum redistribution mechanism with respect to citation weights: any increase in cx (credit attributed by i to j) necessarily decreases vi

**From.** Wulf A. Kaal, *Citation Honesty Mechanisms in Weighted Directed Acyclic Graph Governance* (2026), II.A. Formal Statement of the Problem, page 6

**Cite as.** Wulf A. Kaal, Citation Honesty Mechanisms in Weighted Directed Acyclic Graph Governance (2026). SSRN: https://ssrn.com/abstract=6269518

**Verify.** sha256 of source PDF `f096ecf5b41bb9ae8642facd54b9149c7b594de53a1cc32718a4d806b772f88f` at https://raw.githubusercontent.com/wulfkaal/Academic-Papers/main/papers/pdf/Kaal%20-%202026%20-%20Citation%20Honesty%20Mechanisms%20in%20Weighted%20Directed%20Acyclic%20Graph%20Governance.pdf

**Topics.** citation-and-knowledge

**Keywords.** pagerank, zero-sum, citation-matrix, payment-allocation

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