❔ Undocumented origin
Not specified
The origin of this technique is not yet documented in our reference base. Its level of evidence is therefore not established.
Full detail in the “Origin & history” section below.
Author of the library
Negotiation lecturer at KEDGE Business School
A rare threefold background serving negotiation: teaching, commercial justice and audit, backed by experience as a company director in Bordeaux.
The After the Decimal Point effect consists in stating a precise figure rather than a rounded one in order to reinforce its credibility and its anchoring power. An amount such as "€9,873" signals to the other party's brain that a rigorous calculation underpins it: it appears documented, non-negotiable, the product of a method. Faced with a round number, the opponent grants themselves broad mental concessions; faced with a precise number, they dare only small adjustments. The decimal point, or the last significant digit, thus becomes a silent psychological lever that shifts the point of equilibrium of the entire negotiation.
At a glance
Vigilance: very high (8.0/10) · Preparation required: 7/10
Indicative profile: it situates the “Perception management” family as the Undocumented origin school practises it, not this technique taken in isolation. Techniques from the same family and school therefore share the same profile. NEGOCOACH editorial rating out of 10, non-experimental · the higher the “relational risk” value, the more costly the technique is to the relationship.
NEGOCOACH assessment
Tactical potential 8.3/10 (effectiveness, impact, discretion) and vigilance very high (relational and ethical risk): two distinct readings, deliberately never merged into a single score that would reward risk. NEGOCOACH editorial rating calibrated from the “Perception management” family and the “Undocumented origin” school. Each criterion is rated out of 10; click to understand what it measures.
How far the technique can carry the negotiation in the intended direction when it is well executed.
Strength of the effect produced on the counterpart's perceptions, emotions and decisions.
How hard it is for the other party to notice the technique is being used. A high value = very discreet.
The information, analysis and rehearsal required upfront to use it effectively.
Potential cost to the relationship and to trust if the technique is spotted, refused or fails. A high value = riskier.
Moral acceptability: fairness, transparency and respect for the counterpart's autonomy. A high value = more defensible.
Undocumented origin · level not established
The origin of this technique is not yet documented in our reference base: we therefore show no grounding level rather than assume one.
Indicative NEGOCOACH editorial rating, for teaching purposes. For “Relational risk”, a high value signals a cost to the relationship, not a quality.
The technique derives directly from the foundational work of Tversky and Kahneman (1974) on the anchoring-and-adjustment heuristic, in which a starting value, even an arbitrary one, durably contaminates the final estimate. It was refined by Janiszewski and Uy (2008), who show that the granularity of the anchor changes the magnitude of the adjustment: a precise price produces a smaller correction than an equivalent round price. In distributive negotiation, Mason, Lee, Wiley and Ames (2013, Columbia) establish that precise first offers are more powerful anchors because they suggest a better-informed sender. The technique belongs to the long tradition of psychological pricing (prices ending in 9) but differs from it in active negotiation, where the stake is not merely appeal but the anchor's resistance to counter-offers.
The After the Decimal Point effect is a reinforced anchoring technique that exploits the precision bias: presenting a detailed numerical value (decimals, non-rounded figures, fine units) so that it is perceived as the result of expert analysis rather than an approximation. The mechanism rests on two converging drivers: on the one hand, the other party infers superior competence in whoever puts forward a precise figure; on the other, precision places the value on a mental scale with fine resolution, so that adjustments are made in small steps and stay close to the initial anchor.
Application by context
A consultant prices an engagement at "€14,875" instead of "around €15,000".
The quote details precise line items (days, hourly rate, expenses) whose sum lands on a non-round figure, evidencing a method.
The client perceives a rigorous calculation and negotiates in small steps rather than proposing a sharp cut.
A seasoned buyer may demand a line-by-line breakdown and attack each item, dissolving the overall effect.
An industrial buyer counter-proposes "€0.847 per unit" based on a reconstructed cost price.
The decimal rests on an analysis of the supplier's cost structure, stated as a technical fact.
The seller, faced with such a documented figure, doubts their own margin and adjusts modestly.
If the supplier commands their costs better, they can demonstrate that the precision is false and reverse the balance of power.
A union demands a raise of "3.87%" rather than "around 4%".
The percentage is presented as the exact catch-up on cumulative inflation over a documented period.
Management struggles to contest a figure indexed to data and would appear to be acting in bad faith by rounding it down.
A well-equipped HR department can counter with an equally precise competing index and neutralise the anchor.
A government announces "€2.135 billion" of support for a stricken sector.
The amount is publicly broken down into earmarked envelopes, signalling a targeted allocation.
The public perceives rigorous management rather than a figure thrown out for its announcement effect.
If execution does not match the precision displayed, the gap becomes a weapon for the opposition and the press.
A candidate prices their plan at "€487 million over 5 years" rather than "half a billion".
The costing is tied back to a manifesto document, with supporting columns and assumptions.
The proposal appears seriously budgeted, which sets it apart from competitors' vague promises.
An opponent can expose a fragile assumption in the calculation and discredit the entire costing.
A seller lists their house at "€398,700" instead of "€400,000".
The price is justified by a detailed valuation report (floor area, price per m², recent works).
Buyers negotiate from a figure credited with an appraisal and concede smaller adjustments.
In a seller's market, a round price sometimes attracts better over-bids; precision can then cap the final price.
In a joint venture, one party proposes a profit split of "52.4% / 47.6%".
The split key is backed by a quantified assessment of each side's respective contributions (capital, R&D, network).
The imbalance appears objectively calculated rather than imposed by raw power dynamics.
In some cultures that value symbolic parity, a precision that breaks the 50/50 may be experienced as an offence.
In an estate settlement, an heir prices their contribution at "€17,340 " of works advanced.
The amount rests on invoices and statements, turning a feeling into verifiable data.
Co-heirs more readily accept compensation backed by documents than a round figure asserted outright.
A precision perceived as procedural can jar and harden a negotiation where emotion prevails.
Counter-techniques
Negotiation is also played on defence. Here is how to recognise this technique when it is used against you, and turn it around.
The signals that give it away
The counters that defuse it
Turn it into an advantage
Calmly show that you have seen the staging: it loses all effect.
Taking appearance for reality.
The major strength of the After the Decimal Point effect lies in its discretion: unlike open pressure, it operates without the target perceiving the manoeuvre, since a precise figure simply seems more honest. It combines two robust and replicated mechanisms: the inference of competence (whoever is precise seems to know) and the fine resolution of the mental scale (adjustments are made in small steps). It is inexpensive, applies to any negotiable value, and turns a mere first offer into a lasting anchor. Finally, it produces a measurable advantage: studies show more conciliatory counter-offers and agreements closer to the precise initial offer.
Use the After the Decimal Point effect at the moment of the first offer, when no anchor has yet been set and your figure will structure everything that follows. It is particularly effective against an interlocutor who is not an expert in the item being negotiated, in fields with high value uncertainty (intellectual services, atypical real estate, unique goods) where precision fills an informational void. Reserve it for situations where you can, if needed, justify the calculation: unsupported precision facing an expert turns against you.
Sales · The "just below" price that sells the house 3% higher, A joint study by Florida Atlantic University and Florida International University, covering thousands of transactions, showed that the "just below" pricing strategy (a precise, non-rounded amount, such as €398,700 instead of €400,000) obtained a final sale price roughly 2.5 to 3% higher than a round-price strategy, i.e. $5,000 to $6,000 on a $200,000 house. A separate analysis of 1,000 sales found that properties listed at "odd" prices sold on average 10 days faster. The precise figure works here as a credible anchor: the buyer infers that it corresponds to a genuinely estimated value and negotiates in small steps.
Politics · Costing to the last euro as a credibility weapon, In public communication, governments regularly announce budget envelopes stated with deliberate precision, "€2.135 billion" rather than "around €2 billion", to signal a calculated, targeted allocation. This driver exploits the same anchoring mechanism identified by Tversky and Kahneman as far back as 1974: in their rigged-wheel experiment, a starting value contaminated the estimate of the percentage of African countries in the UN (25% for an anchor of 10, 45% for an anchor of 65). By displaying a precise figure, the public decision-maker makes their estimate harder to contest and shifts the debate towards execution rather than the amount itself.
Diplomatic · The non-rounded split key that defuses contestation, In joint-venture negotiations and resource-sharing treaties, parties frequently resort to precise split keys (52.4% / 47.6%) backed by a quantified assessment of respective contributions. Precision turns a balance of power into a result of calculation: the disadvantaged party can hardly denounce an imbalance presented as the objective translation of the contributions. This reliance on detailed rather than symbolic ratios illustrates, in an international context, the logic documented by Mason, Lee, Wiley and Ames: the precise figure implies a well-informed sender and makes counter-proposals more conciliatory.
Judicial · The damages claim at a calculated amount, Before civil courts, the way a claim is quantified influences decisions. Research on judicial anchoring shows that a precisely quantified damages amount, reconstructed item by item (material damage, loss of income, costs), anchors the assessment more effectively than a round sum claimed globally. The American Bar Association has relayed this work on "data-driven negotiation", stressing that the precision of the first claim shapes the settlement outcome. The lawyer who articulates "€487,350" grounded in an expert report sets a resistant anchor; the one who claims "half a million" invites a sharp cut.
Corporate · The precise salary offer that draws a softer counter-offer, The experimental studies of Mason, Lee, Wiley and Ames (Columbia Business School, 2013) established, across several simulated negotiations, that candidates or recruiters making a precise first offer (for example €68,500 rather than €70,000) received more conciliatory counter-offers and closed nearer their anchor. The mechanism identified is an attribution of knowledge: the precise figure implies that its author knows the true value of the role or profile. In compensation negotiation, stating an amount to the exact euro, supported by a benchmark, therefore narrows the other party's room for adjustment.
Everyday life · The garage sale and the price that "was calculated", In peer-to-peer transactions, flea markets, second-hand platforms, haggling, a seller who lists "€47" for an item rather than "€50" triggers the precision bias described by Janiszewski and Uy (2008): the buyer, perceiving a price that seems "weighed", proposes smaller reductions (€43, €45) than against a round price, where they would spontaneously try "€30 or €35". Everyday haggling confirms the laboratory result: a precise price shifts the starting point of counter-offers upward and mechanically reduces the size of the final discount.
To neutralise the After the Decimal Point effect, refuse to adjust from the opponent's anchor: restate your own costing, equally precise and documented, rather than offering a mere discount. Demand the breakdown of the calculation ("on exactly what basis do you arrive at this amount?"): unsupported precision dissolves, while supported precision becomes debatable item by item. Name the device explicitly if necessary, although the work of Thorsteinson (2021) shows that merely knowing the tactic does not always suffice to cancel its effect, whereas the demand for justification does weaken it. Finally, facing an expert, remind them that false precision is an admission of weakness: turn the argument around.
The effect has clear boundaries established by research. Loschelder, Friese, Schaerer and Galinsky (2016), across five experiments totalling 1,320 participants (real estate, jewellery, automotive, HR), demonstrate an inverted-U effect: precision helps against amateurs but backfires against experts, who perceive excess precision as a lack of competence, unless the sender provides a justification that restores their credibility. The technique therefore depends on the target's level of expertise and on the availability of a rationale. It is moreover context-dependent: in a seller's market or at auction, precision can cap the final price. Finally, it belongs to the manipulation of perception: poorly used, it exposes you to a lasting loss of trust if the precision turns out to be fake.
Several variations exist. Decimal precision (€0.847 per unit) maximises the effect on unit and volume-based values. Precision by decomposition publicly breaks a total into quantified sub-envelopes, doubling credibility. Justified precision, recommended against experts by Loschelder et al., systematically pairs the figure with its rationale to defuse the "too-much-precision" effect. The "just below" price (€398,700 instead of €400,000) combines precise anchoring with the left-digit bias. Finally, the fake precise range ("between €46,200 and €48,900") presents a narrow, detailed band to appear documented while preserving room for manoeuvre.
Quick exercise
Answer in your head, then reveal the solution. Memory is built through active recall.
Frequently asked questions
The After the Decimal Point effect consists in stating a precise figure rather than a rounded one in order to reinforce its credibility and its anchoring power. An amount such as "€9,873" signals to the other party's brain that a rigorous calculation underpins it: it appears documented, non-negotiable, the product of a method. Faced with a round number, the opponent grants themselves broad mental concessions; faced with a precise number, they dare only small adjustments. The decimal point, or the last significant digit, thus becomes a silent psychological lever that shifts the point of equilibrium of the entire negotiation.
It is mainly manipulation and can lastingly damage the relationship. Its main value is learning to recognise it so you do not fall victim to it.
Taking appearance for reality. The right reflex: verify the information independently.
NEGOCOACH does not assess the experimental validation of this technique in isolation. What we document is the grounding of its source school (Undocumented origin): undocumented origin · level not established. Full detail is in the "At a glance" section of this page.
Practise with AI
Copy, paste into your assistant, replace the [brackets]. Works with ChatGPT, Claude, Gemini, Mistral, Perplexity.
Build your plan before the meeting
You are an expert negotiation coach. Help me prepare to use the "The After-the-Decimal-Point Effect" technique in the following situation: [describe your situation]. Give me: the conditions for success, a 3-step script, my counterpart's likely objections and how to answer them.
Rehearse against an AI counterpart
Play the role of my counterpart in a negotiation. I am going to test the "The After-the-Decimal-Point Effect" technique. React realistically and with resistance, do not give in too quickly, then at the end analyse my performance and suggest 3 concrete improvements.
Analyse a past negotiation
Here is how my negotiation went: [paste the exchanges]. Analyse whether the "The After-the-Decimal-Point Effect" technique was used well, what worked, the mistakes made, and spell out precisely what I could have done better.
References
Founding works of the ❔ Undocumented origin school this technique belongs to.
You Can Negotiate Anything
BookH. Cohen · 1980
The best-seller that democratised negotiation: everything is negotiable, provided you understand power, time and information. Accessible in tone and full of everyday examples.
Everything is Negotiable
BookG. Kennedy · 1982
A practical guide to negotiating in daily life as in business, centred on conditional exchange and firmness on your interests. Kennedy hunts down the negotiator's "soft" reflexes.
The origin of this technique is not yet documented in our reference base. Its level of evidence is therefore not established.
On video
Videos to picture The After-the-Decimal-Point Effect and anchor it through examples.
Technique map
Every technique sits within a network: what it draws on, what it combines with, where it applies, and how to defend against it.
Spot its signals, neutralise it and turn it around with the defensive playbook on this page.
See the counter-techniquesThe After the Decimal Point effect consists in stating a precise figure rather than a rounded one in order to reinforce its credibility and its anchoring power. An amount such as "€9,873" signals to the other party's brain that a rigorous calculation underpins it: it appears documented, non-negotiable, the product of a method. Faced with a round number, the opponent grants themselves broad mental concessions; faced with a precise number, they dare only small adjustments. The decimal point, or the last significant digit, thus becomes a silent psychological lever that shifts the point of equilibrium of the entire negotiation.
Calmly show that you have seen the staging: it loses all effect.
Taking appearance for reality.
Our programmes turn theory into a concrete advantage.