BOH 804: How Casino Comps Are Calculated

Casino comps are usually calculated by estimating a player’s theoretical loss, applying a permitted reinvestment rate, and then deciding which benefit can be issued within that budget. Actual win or loss may influence judgment, but it is not the same as theoretical value.

The calculation is therefore not simply:

Player lost $1,000 → player receives a $200 comp

A defensible system asks what play was recorded, how the property priced that play, what percentage can be reinvested, what the benefit costs, who may authorize it, and whether the offer produced profitable future business.

The comp calculation chain

Each stage can distort the result. A perfect reinvestment formula cannot repair a missing player card, an inflated table rating, the wrong machine theo rate, or a host comp issued outside authority.

Slot play: accurate volume, configured assumptions

Slot and video-poker systems record activity directly. Common inputs include coin-in, denomination, game identifier, session time, points, and promotional credits. The basic theoretical-loss calculation is:

Slot theo = Coin-in × Configured house advantage

where:

House advantage = 1 − Theoretical RTP

Suppose a player averages $1.50 per spin, completes 600 spins per hour, and plays four hours:

Coin-in = $1.50 × 600 × 4 = $3,600

If the approved comp system values that game at an 8% theoretical house advantage:

Slot theo = $3,600 × 0.08 = $288

At a 20% reinvestment rate:

Base comp budget = $288 × 0.20 = $57.60

The $288 is not a prediction that the player lost exactly $288. Actual results may be a large win, a larger loss, or anything between. Theo is the property’s long-run pricing estimate for the recorded action.

The game-level rate also matters. Two players can generate the same coin-in on machines with different theoretical returns and therefore generate different theo. A casino may additionally use promotional rules that award points differently from the theo used for host decisions. Slot theoretical loss and video-poker theoretical loss explain those game-specific differences.

Table play: the rating is an estimate

A common table-game model is:

Table theo = Average bet × Decisions per hour × Hours played × Assumed house edge

Each input needs interpretation:

• Average bet is the supervisor’s estimate of typical total wager, not necessarily the last or largest bet.
• Decisions per hour varies with game, table occupancy, procedures, side bets, and interruptions.
• Hours played depends on accurate start, pause, table-transfer, and close times.
• Assumed house edge may be a standard property factor rather than the exact edge created by one player’s decisions.

Consider an illustrative blackjack rating of $100 average wager, 70 decisions per hour, three hours, and a 0.60% property edge assumption:

Table theo = $100 × 70 × 3 × 0.006
           = $126

At 20% reinvestment, the initial budget is:

$126 × 0.20 = $25.20

That can surprise a player who happened to lose $1,000. The loss is emotionally and financially real, but one losing session does not transform a low-edge, modest-volume rating into $1,000 of expected casino revenue.

Table ratings are less exact than machine meters. A $75 player mistakenly rated at $100 for four hours can be overvalued repeatedly. A player whose rating remains open during a long absence can receive too much credit for time. The player-rating explainer covers the data-quality problem separately.

Reinvestment is a policy, not a universal percentage

The core formula is:

Comp budget = Theoretical loss × Target reinvestment rate

A property might vary the rate by market, player segment, acquisition campaign, trip pattern, game, expected future value, or competitive pressure. There is no single industry percentage that every casino applies.

The rate may also refer to different baskets of value. One department may measure automated points, another direct mail and free play, and another host-issued room, food, beverage, travel, or event costs. Adding percentages from different reports without checking scope can double-count reinvestment.

A complete management view is closer to:

Total reinvestment rate = All attributable player benefits / Theoretical loss

The numerator should use a consistent valuation basis. A $300 retail hotel rate is not necessarily a $300 incremental cost to the casino. On a quiet night, the internal cost of an otherwise empty room may be much lower. On a sold-out night, comping the room may displace a cash customer and carry a much higher opportunity cost.

Free play has the same issue. Its face value, accounting treatment, redemption rate, and expected recycling through the machine are not identical measures. Good analysis states which one is being used.

Points, offers, and discretionary comps are different

Players often combine every benefit under the word “comps,” but operating controls separate them.

Nevada’s current table-games and slots minimum internal control standards illustrate the control principle. They require non-automated point adjustments and wagering-credit issuances to be documented and authorized, establish controls over player accounts, and require player-tracking rules to be available for patron review. See the Nevada Gaming Control Board MICS library. These are Nevada requirements, not a universal comp formula, but they show why comp value cannot be treated as an informal favor with no audit trail.

Why actual loss still appears on the host screen

Actual loss can matter without becoming the primary calculation base.

A host may review it for:

• a severe short-term loss involving an established valuable player;
• trip profitability and credit risk;
• loss-rebate or negotiated-program terms;
• service recovery and relationship management;
• unusual variance that needs rating or game-protection review.

The wrong conclusion is “actual loss never matters.” The safer conclusion is that actual loss and theo answer different questions. Theo estimates the expected value of action. Actual loss records what happened during the period. Theoretical loss explained develops that distinction.

The player-value mistake hidden by a generous offer

Suppose a player generates $1,000 theo. The property provides:

• $120 free play;
• a room internally valued at $90;
• $40 food cost;
• $30 event cost.

Using those internal values:

Total attributable benefit = $280
Reinvestment rate = $280 / $1,000 = 28%
Pre-overhead value after benefits = $1,000 − $280 = $720

That $720 is not final profit. The casino still has gaming taxes, labor, marketing administration, bad debt, entertainment, utilities, and other operating costs. “Theo minus comps” is a useful contribution view, not a complete property profit-and-loss statement.

If the player would have made the same trip without the offer, some of the $280 was non-incremental. If the offer caused a profitable trip that otherwise would not occur, the reinvestment performed its marketing purpose. This is why redemption alone is not success.

What a well-controlled comp decision should answer

Before issuing or increasing a benefit, the system or employee should be able to answer:

1. Which recorded play supports the value?
2. Is the rating complete and plausible?
3. Which theo assumptions were applied?
4. What is the player’s existing total reinvestment across all channels?
5. What does the proposed benefit cost on the chosen valuation basis?
6. Is the issuer within authority?
7. Is this acquisition, retention, service recovery, or pure entitlement?
8. How will the result be measured afterward?

That process protects both sides. The player receives consistent treatment based on recorded activity and published program rules. The casino reduces overcomping, host favoritism, account abuse, and expensive offers that merely reward behavior that would have occurred anyway.

Why playing extra for a comp is usually a poor exchange

A player considering another $2,000 of coin-in to earn $10 in points should compare the expected gambling cost with the benefit:

Incremental net expectation = Comp value − Incremental theoretical loss

At an 8% game edge:

Incremental net expectation = $10 − ($2,000 × 0.08)
                            = $10 − $160
                            = −$150

Short-term results can differ, but the comp does not reverse the underlying price. The comp value calculator and comp reinvestment estimator help separate the visible benefit from the action required to earn it.

A comp is best understood as a controlled marketing reinvestment. It may improve the value of play the player had already chosen, but it is rarely a rational reason to extend a session, increase a wager, or chase a loss.