Table 111 Sept 2026From “Acquisition growth loops need a declared entry event”

The growth-loop evidence ledger

Do not call an arrow a loop until the next eligible unit, cost, and outcome window are visible.

Table 1The growth-loop evidence ledger

Loop element	Evidence field	Synthetic example	Next-entry rule	Failure mode
Entry event	Eligible unit, entry date, and inclusion rule	100 active paying users at period start	Active means paid and used under the declared period	Trial and paid units are mixed
Participant action	Named action and actor	32 users send a direct invitation	Invitation is recorded once per recipient	Button clicks are treated as transfers
Transfer	Recipient identity and delivery event	20 invitations reach new recipients	Recipient is outside the starting population	Existing users are counted as new units
Received value	Acceptance or first-value event	12 recipients accept the invitation	Acceptance rule is timestamped	Delivered message is called value
Next eligibility	Event that admits the next distinct unit	8 recipients pay and activate	Recipient is deduplicated and qualifies within 30 days	Eligibility has no time boundary
Reward or cost	Incentive, channel, and cost	EUR 160 in rewards and delivery cost	Cost is assigned to the loop period	Reward is called free
Outcome	Contribution, retention, or later value	30-day outcome remains unresolved	Outcome window closes before interpretation	Loop conversion is called payback

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Source: Author's synthetic loop ledger grounded in Biyalogorsky, Gerstner, and Libai (2001), Morgan and Hunt (1994), Kumar et al. (2010), and Villanueva et al. (2008). Counts, costs, and outcomes are illustrative, not campaign data or benchmarks.

PNG4:3, 1600 × 1200, with the title, the source line and the attribution set in the image isoglu-2026-growth-loops-need-a-declared-entry-event-fig01.png

Source and evidence

Each line names a claim related to this exhibit, its source, and how it was checked.

B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Biyalogorsky et al. model customer referral management through referral incentives and show that reward design depends on the economic and behavioural conditions of the model: "We investigate when referral rewards should be offered to motivate referrals and derive the optimal combination of reward and price that will lead to the most profitable referrals"Biyalogorsky et al. (2001), full-text extract held
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Their analysis allows referral rewards to be profitable under some conditions while leaving risks such as free riding or reward misallocation visible: "rewards can sometimes be given to customers who would have recommended anyway, causing a waste of company resources"Biyalogorsky et al. (2001), full-text extract held
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported The referral-reward result is a bounded model and does not establish a universal referral rate, loop coefficient, or reward percentage: "These results are consistent with the fact that referral rewards are not offered in all markets"Biyalogorsky et al. (2001), full-text extract held
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Morgan and Hunt identify commitment and trust as key mediating variables in successful relationship marketing in their tested relationship-marketing model: "successful relationship marketing requires relationship commitment and trust" and "model relationship commitment and trust as key mediating variables"Morgan and Hunt (1994), full-text extract held
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported The commitment-trust mechanism is a relationship condition, not proof that every customer referral or growth loop will compound: "using data from automobile tire retailers" and "compare their model with a rival that does not allow relationship commitment and trust to function as mediating variables"Morgan and Hunt (1994), full-text extract held
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Kumar et al. distinguish customer engagement value beyond transactions through customer lifetime, referral, influencer, and knowledge components: "We propose four components of a customer’s engagement value (CEV) with a firm. The first component is customer lifetime value (the customer’s purchase behavior), the second is customer referral value (as it relates to incentivized referral of new customers), the third is customer influencer value" and "the fourth is customer knowledge value (the value added to the firm by feedback from the customer)"Kumar et al. (2010), full-text extract held
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Their framework warns that a transaction-only view can undervalue or overvalue customers when non-transactional contributions are relevant: "assessing the value of customers based solely upon their transactions with a firm may not be sufficient" and "valuing this engagement correctly is crucial in avoiding undervaluation and overvaluation of customers"Kumar et al. (2010), full-text extract held
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Customer engagement value is a valuation framework and not a measured universal growth-loop multiplier: "future research propositions regarding relationships between the four components of CEV are proposed"Kumar et al. (2010), full-text extract held
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Villanueva et al. compare marketing-induced and word-of-mouth acquisition and describe differences in acquisition speed, cost, and customer-equity development in a bounded setting: "Companies can acquire customers through costly but fast-acting marketing investments or through slower but cheaper word-of-mouth processes"Villanueva et al. (2008), full-text extract held
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Their web-hosting evidence reports a different short-term and long-term value path for marketing-induced and word-of-mouth customers; the setting and time horizon remain part of the result: "customers add more short" and "customers add nearly twice as much long"Villanueva et al. (2008), full-text extract held
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported The acquisition comparison does not supply a universal channel ratio or prove that a referral loop compounds in another business: "An application to a Web hosting company reveals"Villanueva et al. (2008), full-text extract held
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported A growth loop is a declared sequence from an entry event through participant action, transfer, receipt, and eligibility for the next iterationAuthor framework
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported A loop entry event must create or expose a new eligible unit under a named population rule; activity alone is not loop transferAuthor data framework
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported A referral event, referral rate, referral value, and loop conversion are different objects and need different denominatorsAuthor metric taxonomy
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Paid acquisition, referral, influencer, knowledge, and retention contributions should remain separate before a team calls them one loopAuthor valuation framework
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported A reward is both an incentive and a cost; the presence of a reward does not prove profitable or self-sustaining growthAuthor negative boundary
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Loop conversion can be calculated only after the eligible entrant population, next-entry event, time window, and exclusions are declaredAuthor measurement framework
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported The growth-loop ledger is synthetic and illustrative; it contains no customer, referral, campaign, or company dataAuthor synthetic object
B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported A loop diagram can describe a mechanism, while causal growth or payback requires a separate comparison design and outcome windowAuthor causal boundary

From the essay

Growth that compounds

Acquisition growth loops need a declared entry event

An acquisition growth loop is measurable only when action, transfer, eligibility, reward cost, and the next outcome are defined under one boundary.

11 Sept 2026

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APA 7

Isoglu, S. (2026). The growth-loop evidence ledger [Table]. isoglu.com. https://isoglu.com/insights/exhibits/isoglu-2026-growth-loops-need-a-declared-entry-event-fig01/

BibTeX

@misc{isoglu-2026-growth-loops-need-a-declared-entry-event-fig01,
  author = {Isoglu, Sinan},
  title = {{The growth-loop evidence ledger}},
  year = {2026},
  howpublished = {Table 1, isoglu.com},
  url = {https://isoglu.com/insights/exhibits/isoglu-2026-growth-loops-need-a-declared-entry-event-fig01/},
  note = {From the essay {Acquisition growth loops need a declared entry event}}
}

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<figure>
  <a href="https://isoglu.com/insights/exhibits/isoglu-2026-growth-loops-need-a-declared-entry-event-fig01/">
    <img src="https://isoglu.com/social/isoglu-2026-growth-loops-need-a-declared-entry-event-fig01.png" alt="Table 1: The growth-loop evidence ledger" width="3200" height="2400">
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  <figcaption>Table 1: The growth-loop evidence ledger. Source: Author&#39;s synthetic loop ledger grounded in Biyalogorsky, Gerstner, and Libai (2001), Morgan and Hunt (1994), Kumar et al. (2010), and Villanueva et al. (2008). Counts, costs, and outcomes are illustrative, not campaign data or benchmarks. <a href="https://isoglu.com/insights/exhibits/isoglu-2026-growth-loops-need-a-declared-entry-event-fig01/">View exhibit</a>.</figcaption>
</figure>