Reward System

Our reward system uses a sophisticated mathematical model to calculate tokens based on riding behavior, subscription tier, user details, and system constraints. The following framework explains how various factors combine to determine rewards.

Ride Quality Assessment

The system evaluates each ride using several key metrics:

Driving Score

Your driving behavior is quantified through a driving score that considers duration and phone interaction:

It = (TD × SV1)/InDS = max(0, 1 - (NoTIm/It))

Where:

• TD = Time driven (duration of ride)

• NoT = Number of touches (phone interactions)

• DS = Driving score (0-1)

• Other variables represent system constants

This creates a score that rewards longer rides with minimal phone interaction.

Base Credit Calculation

The system converts your driving score to base credits using a polynomial function:

BSC = SV2 × DS⁴ - SV2 × DS³ + (1/2)SV2 × DS² + (3/14)SV2 × DS

Distance and Time Factors

Your ride's distance and duration affect rewards through these relationships:

KMM = SV3 × √KMDTM = SV4 × TD + SV5 × √TD

Where:

• KMD = Kilometers driven

• KMM = Kilometer multiplier

• TM = Time multiplier

Progressive Reward Structure

Subscription Benefits

Subscription tiers determine the full-reward segment size and multiplier:

Subscription	First Segment	Regular Segments	Multiplier
Lite	X km	Y km	1.0
Plus	3X km	3Y km	1.2
Pro	7X km	3Y km	1.5
Platinum	10X km	3Y km	5.5
Custom	11X km	3Y km	6.0
Elite	12X km	7Y km	7.0

Distance-Based Decay Model

The reward rate changes based on accumulated daily distance according to:

For position p km in daily riding:

• If p < F: Multiplier = 1.0 (full rewards)

• If p ≥ F:

  • Segment number = 1 + ⌊(p-F)/R⌋

  • Decay factor = 0.5^(Segment number)

Where:

• F = First segment size (varies by subscription)

• R = Regular segment size (varies by subscription)

Comprehensive Reward Calculation

The complete mathematical model combines all these factors:

Segment-Based Analysis

For each segment i that a ride spans:

SegmentReward_i = M × C × d_i × B × MultiplierAt(p_i)

Where:

• M = Subscription multiplier

• C = Touch count penalty derived from driving score

• d_i = Distance within segment i

• B = Base token rate derived from ride quality

• p_i = Position at segment start = T + ∑(j=0 to i-1) d_j

• T = Total distance already ridden today

Total Reward

Reward = ∑(i=0 to n-1) SegmentReward_i

System-Wide Balance

To maintain economic balance, a final adjustment ensures proportional distribution:

AdjustedReward = Reward × (SystemAllocation / ∑(all rides) Reward)

Key System Benefits

This mathematical framework creates several important behaviors:

• Safe riding is rewarded through the driving score calculation

• Higher subscription tiers receive both higher multipliers and larger full-reward segments

• Phone interactions reduce rewards through the driving score mechanism

• Consistent daily riding is incentivized over occasional long rides

• The system maintains economic balance while preserving relative reward proportions