Gamification Formulas

Gamification adds an engaging layer to the player experience by introducing elements like XP Points (experience points), tokens, ranks, and bonuses. This guide simplifies the key concepts and formulas used to create an effective gamification strategy.

In this document, you’ll find explanations of crucial terms and examples of how to calculate XP points, tokens, and rank progression. We understand that the technical aspects of gamification can be complex, so we’ve broken down the formulas into easy-to-understand steps.

1. House Edge

The house edge is the average percentage the casino expects to win from each game. It represents the casino's advantage over the player.

• Example Value: 0.05 (5%)

• Example: If a game has a 5% house edge, for every $100 wagered, the casino expects to keep $5.

2. XP Points Slots Contribution

This value indicates how much a player contributes to their experience points (XP) when playing slots games.

• Example Value: 0.5 (50%)

• Example: If a player wagers $100 on slots, they will earn XP based on 50% of their wager, meaning $50 of their wager counts toward XP.

3. Tokens Slots Contribution

Similar to XP Points, this value determines how much a player contributes to earning tokens when playing slots.

• Example Value: 0.5 (50%)

• Example: A player who wagers $100 on slots will earn tokens based on 50% of their wager, so $50 will count toward their token accumulation.

4. Value Per Token

The value per token determines how much a token is worth in monetary terms.

• Example Value: 0.001

• Example: One token is worth $0.001. So, if a player earns 1,000 tokens, they have the equivalent of $1.

5. Ranks Bonus Costs

This value determines the cost of earning bonuses as players progress through different ranks.

• Example Value: 0.01 (1%)

• Example: For each rank a player moves up, the cost to earn additional bonuses increases by 1%.

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Game-Specific Adjustments

Certain game types have different default and adjusted values for XP and token contributions. These adjustments allow the casino to tailor the gamification system for different types of games.

Game Type	Default Contribution	Adjusted Contribution
Slots	100%	50%
Roulette	10%	5%
Blackjack	20%	10%
Table Games	20%	10%
Live Casino	10%	5%

Different games offer varying contribution rates toward XP points and tokens. For example, Slots contribute the most (1.0 Default), while Roulette contributes less (0.1 Default).

Example: If a player bets $100 on slots, 50% of their wager ($50) counts toward XP and tokens. If the same player bets $100 on roulette, only 5% of their wager ($5) contributes to XP and tokens.

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Ranks Formula

The rank system in a gamification setup often uses XP (experience points) to allow players to progress through different levels or ranks. The more XP a player accumulates, the higher they rank.

Formula:

Ranks are determined by accumulating XP points over time, and bonuses or rewards increase as players climb through ranks. Here’s a simplified formula:

$$[ \text{Next Rank XP Requirement} = \text{Current XP Requirement} + (\text{Base XP} \times \text{Rank Multiplier}) ]$$

• Base XP: The starting XP required to move up ranks.

• Rank Multiplier: A percentage increase or a factor applied to determine the XP required for the next rank.

Example:

• If Rank 1 requires 100 XP and the Rank Multiplier is 1.2, then Rank 2 will require 100 + (100 * 1.2) = 220 XP.

Players must continue accumulating XP to move up to higher ranks, with rewards like tokens or bonus points increasing as they progress.

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Tokens Formula

Tokens are earned based on a player’s wagering activity and can often be exchanged for rewards. The number of tokens awarded is typically tied to the player’s wagering, game type, and the predefined token conversion rate.

Formula:

$$[ \text{Tokens Earned} = \text{Wager Amount} \times \text{Game Contribution Factor} \times \text{Token Conversion Rate} ]$$

• Wager Amount: The amount of money the player wagers.

• Game Contribution Factor: Each game type (Slots, Roulette, Blackjack, etc.) contributes a different percentage toward earning tokens.

• Token Conversion Rate: The value per token, indicating how much wager is required to earn a single token.

Example:

• A player wagers $100 on slots, which has a Game Contribution Factor of 50%.

• The Token Conversion Rate is 0.001 (meaning $1 wagered gives 1 token).

• So, the formula would be:

$$[ 100 \times 0.50 \times 0.001 = 0.05 \text{ tokens earned}. ]$$

This means the player earns 0.05 tokens from a $100 wager on slots.

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Terminology Recap:

• House Edge: The casino's advantage, typically a percentage of the player's wager.

• XP Points: Experience points that track a player's progress or rank.

• Tokens: A currency earned through gameplay, which can be used for rewards.

• Contribution: The percentage of the player's wager that counts toward XP or tokens.

• Value per Token: The monetary value assigned to each token.

• Bonus Costs: The percentage increase in cost as players advance in rank.