Reward System

LETSTOP’s reward system uses a sophisticated mathematical framework to calculate token rewards based on riding behavior, subscription tier, user attributes, and system constraints. It is designed to incentivize safe driving, consistent engagement, and responsible app use while maintaining overall economic stability.

Ride Quality Assessment

Each ride is evaluated using a driving score, which quantifies rider behavior:

It=(TD∗SV1)/InDS=max(0,1−(NoTIm/It))It = (TD * SV1)/InDS = max(0, 1 - (NoTIm/It))

Where:

  • TD = time driven (ride duration)

  • NoT = number of touches (phone interactions)

  • DS = driving score (0–1)

  • SV1, InDS = system constants

This score rewards longer rides with minimal phone interaction, promoting safe driving behavior.

Base Credit Calculation

The driving score is converted into base credits using a polynomial function:

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

This ensures higher driving scores contribute nonlinearly to rewards, amplifying the benefit of consistently safe rides.

Distance and Time Factors

Ride distance and duration further influence rewards through kilometer and time multipliers:

KMM=SV3∗√KMDTM=SV4∗TD+SV5∗√TDKMM = SV3 * √KMDTM = SV4 * TD + SV5 * √TD

Where:

  • KMD = kilometers driven

  • KMM = kilometer multiplier

  • TM = time multiplier

These factors scale rewards based on actual effort, ensuring that longer and more involved rides are rewarded proportionally.

Progressive Reward Structure

Subscription Benefits

Subscription tiers determine the full-reward segment size and multiplier. Higher tiers receive larger full-reward segments and higher multipliers, providing greater incentives for active and premium users.

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

Rewards decay progressively based on accumulated daily distance:

For position p km in daily riding:

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

  • If p ≥ F → decay applies:

Segmentnumber=1+⌊(p−F)/R⌋Decayfactor=0.5(Segmentnumber)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)

This ensures that initial kilometers earn full rewards, while very long rides receive gradually reduced rates to maintain balance.

Comprehensive Reward Calculation

Each ride is divided into segments, and the reward for each segment is calculated as:

SegmentRewardi=M∗C∗di∗B∗MultiplierAt(pi)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

The total reward for the ride is the sum of all segment rewards:

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

Credit Balance Influence

A user’s existing credit balance also impacts rewards. LETSTOP applies a logarithmic scaling function with diminishing returns:

CM=1+α∗ln(1+CB/β​)CM=1+α*ln(1+CB/β​)

Where:

  • CM = credit multiplier applied to ride reward

  • CB = your current credit balance

  • α = scaling factor (determines how much balance affects rewards)

  • β = normalization constant (ensures the boost is reasonable)

This approach:

  • Rewards consistent participation

  • Accelerates engagement for new users

  • Caps excessive accumulation at high balances

The credit-based reward is combined with ride quality, subscription multipliers, and vehicle or level bonuses to determine the total tokens earned per ride.

System-Wide Balance

To maintain overall economic stability, a final adjustment ensures proportional token distribution:

AdjustedReward=Reward∗(SystemAllocation/∑(allrides)Reward)∗CMAdjustedReward = Reward * (SystemAllocation / ∑(all rides) Reward)*CM

This prevents inflationary reward spikes and preserves fairness across all users.

Key System Benefits

  • Rewards safe riding and minimal phone interactions

  • Higher subscription tiers gain larger full-reward segments and higher multipliers, including Platinum, Custom, and Elite tiers

  • Encourages consistent daily riding over sporadic long rides

  • Integrates user credit balance to reward long-term engagement

  • Maintains economic stability and proportional token distribution

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