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Paper Citation Record Β· LEDGER

A general classification of the replication dynamics with a unique fixed point in the interior of simplex $S_N$

As of 22 July 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2605.13883.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2605.13883 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-15T05:33:48.238676Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-21T06:31:05.380196+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

8 of 8 outbound references displayed

  • verified exact2
  • verified fuzzy6
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b1dee249-07cc-4137-ba3c-013320d071a0 Β· outbound

This paper cites When 𝑛=2, there are four possible types of replication dynamics.

A general classification of the replication dynamics with a unique fixed point in the interior of simplex $S_N$ When 𝑛=2, there are four possible types of replication dynamics

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-15T05:35:05.168884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.

source=pdf_text observed=2026-05-15T05:33:48.238676Z digest=sha256:a02fa7922dbcf4482a4d1601f37ae5ff7eff4e6510ebd20606b19f4c9afa4103

Observation d28f4dbc-1d93-428d-ab56-9b97564e4d1f Β· outbound

This paper cites Note: (1) for case 1 and 2, there is no fixed point in 𝐼𝑛𝑑S9, and all the orbits tend to 𝐡𝑑S9.

A general classification of the replication dynamics with a unique fixed point in the interior of simplex $S_N$ Note: (1) for case 1 and 2, there is no fixed point in 𝐼𝑛𝑑S9, and all the orbits tend to 𝐡𝑑S9

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-15T05:35:05.173252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.

source=pdf_text observed=2026-05-15T05:33:48.238676Z digest=sha256:090a940d19535f9836ef1c4d5c0fcaff59cf14b1ceaeb0c404e24cca7c214b00

Observation 078bd5a2-b57c-4f60-b3a8-72561980bc9e Β· outbound

This paper cites However, for this solution to be in Int𝑆., we must have π‘₯,=_`Γ—ab=_`Γ—a_`Γ—a`acd>0,𝑖=1,2,…,𝑁.

A general classification of the replication dynamics with a unique fixed point in the interior of simplex $S_N$ However, for this solution to be in Int𝑆., we must have π‘₯,=_`Γ—ab=_`Γ—a_`Γ—a`acd>0,𝑖=1,2,…,𝑁

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-15T05:35:05.156387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.

source=pdf_text observed=2026-05-15T05:33:48.238676Z digest=sha256:068463062f8045cc826b37fa0a93c421d0a3fda313afd18f60935590acedb194

Observation db86cdbd-4726-46e2-bf1a-8778b0e269c3 Β· outbound

This paper cites That is, any orbits except π‘₯≑π‘₯βˆ—, we obtain 𝑉π‘₯=π‘₯,βˆ—paβˆ—βˆ’.

A general classification of the replication dynamics with a unique fixed point in the interior of simplex $S_N$ That is, any orbits except π‘₯≑π‘₯βˆ—, we obtain 𝑉π‘₯=π‘₯,βˆ—paβˆ—βˆ’

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-15T05:35:05.152083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.

source=pdf_text observed=2026-05-15T05:33:48.238676Z digest=sha256:7d4be44889615d40349341e4c8049d42734cf3aaeb68a66107d79b14135f42c4

Observation c3040112-ee78-4374-a832-0e2b42e109ef Β· outbound

This paper cites Therefore, the payoff matrix of the Hawk-dove game can be derived as follows: 15 A=π‘βˆ’π‘2𝑏0𝑏2 where 𝑅6=𝐻, 𝑅9=𝐷, are the hawk strategy and dove strategy respectively.

A general classification of the replication dynamics with a unique fixed point in the interior of simplex $S_N$ Therefore, the payoff matrix of the Hawk-dove game can be derived as follows: 15 A=π‘βˆ’π‘2𝑏0𝑏2 where 𝑅6=𝐻, 𝑅9=𝐷, are the hawk strategy and dove strategy respectively

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-15T05:35:05.160400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.

source=pdf_text observed=2026-05-15T05:33:48.238676Z digest=sha256:72f77ed7f283b483d99ed89454483903556e46d36c015f900df42cef774806f6

Observation 462b9cc3-0da8-4d88-ab45-b6553e782fdf Β· outbound

This paper cites Rock- Scissors-Paper (RSP) game with N=3 strategies Now let us discuss the N=3 case.

A general classification of the replication dynamics with a unique fixed point in the interior of simplex $S_N$ Rock- Scissors-Paper (RSP) game with N=3 strategies Now let us discuss the N=3 case

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-15T05:35:05.164818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.

source=pdf_text observed=2026-05-15T05:33:48.238676Z digest=sha256:11c678b93f475a20b713cd59ffb6ff1d1f97fd2e105acf501f821cf972408845

Observation f3cfef21-fab4-4bd4-89af-538f3c948c96 Β· outbound

This paper cites In other words, if B does not satisfy these conditions, then π’‘βˆ— is a Nash equilibrium, but not an ESS.

A general classification of the replication dynamics with a unique fixed point in the interior of simplex $S_N$ In other words, if B does not satisfy these conditions, then π’‘βˆ— is a Nash equilibrium, but not an ESS

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-15T05:35:03.816549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.

source=pdf_text observed=2026-05-15T05:33:48.238676Z digest=sha256:2e612d4f3539180bff394e5a54ef62b8e1885e3d129433141561a2f0157e94d1

Observation 583fadff-2dd5-4e7e-9f79-8dd6da40de67 Β· outbound

This paper cites an unresolved cited work.

A general classification of the replication dynamics with a unique fixed point in the interior of simplex $S_N$ Unresolved cited work

Reference 8

Resolution
verified exact
doi, observed 2026-05-15T05:35:03.807858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.

source=pdf_text observed=2026-05-15T05:33:48.238676Z digest=sha256:69c552969dfcd8122b5197448cb4161ca77132c0de1da569a1c59d31f327da54

Pith citing papers

No inbound Pith citation observations are available.