Real Estate Repairs Model#

The game uses a strict mathematical model that determines the nominal cost of repairing buildings depending on their level. The nominal cost of repairs is a reference price calculated based on fixed (nominal) prices of resources, without taking into account stock market fluctuations.

Mathematical formula#

The nominal cost of mandatory monthly repairs of a building is calculated using a formula that is a second-degree quadratic polynomial:

Where:

• Building level.
• The result is expressed in gold coins.

Justification and properties#

The formula is constructed so that:

• The rise in repair costs starts slowly and gradually accelerates.
• At high levels, economies of scale are maintained (repairing one high-level building was cheaper than repairing many low-level buildings).
• A balance is maintained between the cost of renovation and the potential income of the building.

Resource Allocation Algorithm#

1. The nominal cost of repairs is calculated using the formula:

2. The amount of water is determined:

3. It is calculated how much gold goes for water:

4. Remaining gold:

5. The remainder is distributed evenly among other resources (baseline).

6. Each resource quantity value:

• Rounded up to 4 decimal places.
• Cannot be less than 0.003.

Result#

This approach ensures:

• Scalability and ease of calculations.
• Transparency of mechanics for players.
• Maintaining a balance between costs and progress.
• A sustainable economic model that is easy to balance.

Nominal cost of repairs by property levels#

The “Cost by Resources” column shows the reference price of the mandatory monthly repairs for a house of the corresponding level, presented in gold coins at the nominal value of resources.

Basic proportions of resources for repair#

Levels 1-3#

Levels 4–50#

Repair cost coefficients by levels#

This list contains scaling factors for calculating repair costs for buildings of different levels.

To calculate the amount of resource required for repairs:

• For any resource except water:

  \( \text{Quantity} = \text{Baseline} \times \text{Level Factor} \)

• For water:

  \( \text{Amount of water} = \text{House level} \)

Each baseline value specifies the amount of resource required for 1 level of the building. Using coefficients, you can quickly scale values to any level from 1 to 50.