> ## Documentation Index
> Fetch the complete documentation index at: https://docs.horse.fun/llms.txt
> Use this file to discover all available pages before exploring further.

# Economic Analysis

> Expected value, ROI optimization, and protocol sustainability

## Expected Value Framework

For any entry, expected value (EV) is:

$$
\text{EV} = (\text{P(win)} \times \text{Payout}) - \text{Entry}
$$

***

## Player EV Analysis

### Base Case (No Jackpots)

```
Entry: 100 SOL
Horse win probability: 12%
Pool-based payout ratio: 5x

EV = (0.12 * 500) - 100 = 60 - 100 = -40 SOL
```

**Negative EV because this horse is over-backed**: a fair break-even multiplier for a 12% horse would be \~8.3×, but the pool is only paying 5× — too much of the volume sits on it. Pool positioning dominates any single entry's EV; the protocol margin is separate (see below).

### With Jackpots

```
Jackpot contribution (Blazing Hoof + King's Run): +4% of volume (returned over time)
HORSE buyback value: +1% of volume (accrues to token holders)

Aggregate player return: 95% of volume
Aggregate EV ≈ −5 SOL per 100 SOL committed
```

<Info>
  Every accumulated jackpot is eventually paid out in full, so the expected jackpot value returned per race equals the per-race contribution (4% of volume) — independent of trigger frequency. Rarity only controls how lumpy the payouts are, not the total.
</Info>

### The Protocol Margin

The 95% player return flows through three channels with different profiles — direct prizes (90%, every race), jackpots (4%, over time, weighted by entry and boosted by staked HORSE), and the buyback (1%, accrues to token holders). Your effective margin depends on how you participate:

```
Direct prizes only (no staked HORSE, jackpot flows excluded):  ≈ −10% of entry
Aggregate, including jackpot and buyback flows:                ≈ −5% of entry
```

The 5% aggregate margin is the true long-run figure across all players. The extra 5% gap faced by a non-staking, prizes-only player is exactly the value routed through jackpots and the token — staking HORSE and participating in jackpots is how a player closes it. This asymmetry is deliberate: it rewards sustained participants over one-shot players.

### With Skill (Value Entries)

Individual entries can carry positive EV when the pool misprices a horse — probabilities are public, so a horse attracting less volume than its win probability warrants pays above fair payout ratios. Skilled players exploit this through:

* Pool inefficiency exploitation (enter where probability > pool share)
* Value-score screening (probability ÷ pool share, the higher the better)
* Disciplined position sizing (fixed fraction per race)

No fixed advantage is guaranteed: the opportunity depends on how other players distribute their entries, and sharper pools mean thinner mispricings.

***

## Protocol Sustainability

### Revenue Model

The protocol generates revenue through a fixed 5% fee on all entry volume:

```
Per race: 5% of total entry volume
Daily (576 races): 5% * daily volume
```

Revenue scales directly with game activity. Higher volume = higher revenue.

### Cost Structure

Protocol expenses include:

* VRF oracle fees
* Infrastructure (Solana RPC, hosting)
* Development and maintenance
* Marketing and growth
* Treasury reserves for long-term stability

<Info>
  The 5% fee model ensures protocol sustainability while keeping the system economically aligned with player activity.
</Info>

***

## Token Economics

### Supply-Demand Balance

```
Emission: volume-linked, E = min(c * B, cap) per race (bootstrap: c = 0.5, cap = 25; steps down at 50k and 1M SOL cumulative volume)
Sinks:
  - Buyback-and-burn: 1% of volume (volume-funded, continuous)
  - Jackpot burns: 10% / 50% of winners' staked tokens (depends on staking)

Both emission and buyback scale with volume, so the buyback
offsets issuance by construction. Net supply change = Emission - Burns.
```

<Note>
  Emission tracks real volume (no fixed daily issuance), and the buyback is the dependable volume-funded sink. Jackpot burns are a secondary sink that depends on staking behavior.
</Note>

### Token Value Drivers

1. **Jackpot utility:** staked HORSE boosts each winner's jackpot share
2. **Scarcity:** deflationary jackpot burns + 1% buyback-and-burn
3. **Value floor:** the volume-funded buyback ties token value to real activity, not sentiment
4. **Protocol growth:** more volume = more buy pressure per token
5. **Network effects:** more players = higher competition for jackpot shares

***

## Position Sizing

For consistent, sustainable participation:

* **Fixed fraction** — commit a small, fixed percentage of your balance per race (1-5%), independent of recent results
* **Diversify** — spread entries across multiple horses or races rather than concentrating on one outcome
* **Moderate probabilities** — mid-probability horses carry lower variance than extreme longshots

<Note>
  Sizing entries as a fixed fraction of your balance keeps variance manageable over many races — no formula can turn the aggregate protocol margin into a guaranteed profit.
</Note>

***

## Next Steps

<CardGroup cols={2}>
  <Card title="Security" icon="shield" href="/advanced/security">
    Protocol security analysis
  </Card>

  <Card title="VRF Technical" icon="dice" href="/advanced/vrf-technical">
    Deep dive into randomness
  </Card>

  <Card title="Pari-Mutuel" icon="coins" href="/entries/pari-mutuel">
    Master pool dynamics
  </Card>

  <Card title="Start Playing" icon="rocket" href="/introduction/quick-start">
    Apply these strategies!
  </Card>
</CardGroup>