ai/docs/latex/02-tokenomics.tex

\section{Token Economics}
\label{sec:tokenomics}

\subsection{Design Philosophy: Bitcoin for AI}

AI Token applies Bitcoin's proven economic model to AI compute:

\begin{center}
\begin{tabular}{lcc}
\toprule
\textbf{Property} & \textbf{Bitcoin} & \textbf{AI Token} \\
\midrule
Total Supply & 21M BTC & 1B AI per chain \\
Mining Supply & 21M BTC & 900M AI (90\%) \\
LP Supply & --- & 100M AI (10\%) \\
Initial Reward & 50 BTC/block & 7.14 AI/block \\
Halving Interval & 210,000 blocks & 63,072,000 blocks \\
Block Time & 10 minutes & 2 seconds \\
Halving Period & $\sim$4 years & $\sim$4 years \\
Time to 50\% mined & $\sim$4 years & $\sim$4 years \\
Time to 99\% mined & $\sim$27 years & $\sim$27 years \\
Useful Work & Hash (wasteful) & AI Compute (useful) \\
\bottomrule
\end{tabular}
\end{center}

\textbf{TRUE Bitcoin Alignment}: AI Token follows the \textit{exact} Bitcoin emission curve:
\begin{itemize}
    \item 4-year halving period (63M blocks at 2-sec = 126M sec = 4 years)
    \item 50\% mined in first 4 years
    \item 99\% mined in $\sim$27 years
    \item Full emission over $\sim$100+ years
    \item Same geometric series: $S = R_0 \times H \times 2$
\end{itemize}

\subsection{Global Supply Model}

\begin{equation}
S_{\text{chain}} = 1,000,000,000 \text{ AI (1B per chain)}
\end{equation}

\begin{center}
\begin{tabular}{lccc}
\toprule
\textbf{Phase} & \textbf{Chains} & \textbf{Total Supply} & \textbf{Market Access} \\
\midrule
Launch & 10 & 10B AI & \$100M depth \\
Growth & 100 & 100B AI & \$1B depth \\
Scale & 1,000 & 1T AI & \$10B depth \\
\bottomrule
\end{tabular}
\end{center}

\textbf{Key Insight}: Each new chain adds 1B AI supply, expanding the compute market. Communities vote on which chains to add next.

\subsection{Launch Chains (10)}

\begin{center}
\begin{tabular}{lccccc}
\toprule
\textbf{Chain} & \textbf{ID} & \textbf{Supply} & \textbf{LP Depth} & \textbf{DEX} & \textbf{Bridge} \\
\midrule
Lux C-Chain & 96369 & 1B & \$10M & LuxSwap & Warp \\
Hanzo EVM & 36963 & 1B & \$10M & HanzoSwap & Warp \\
Zoo EVM & 200200 & 1B & \$10M & ZooSwap & Warp \\
Ethereum & 1 & 1B & \$10M & Uniswap V3 & Teleport \\
Base & 8453 & 1B & \$10M & Uniswap V3 & Teleport \\
BNB Chain & 56 & 1B & \$10M & PancakeSwap & Teleport \\
Avalanche & 43114 & 1B & \$10M & TraderJoe & Teleport \\
Arbitrum & 42161 & 1B & \$10M & Uniswap V3 & Teleport \\
Optimism & 10 & 1B & \$10M & Uniswap V3 & Teleport \\
Polygon & 137 & 1B & \$10M & Uniswap V3 & Teleport \\
\midrule
\textbf{Total} & --- & \textbf{10B} & \textbf{\$100M} & --- & --- \\
\bottomrule
\end{tabular}
\end{center}

\subsection{Precise Launch Pricing}

\subsubsection{Current GPU Compute Market (Dec 2025)}

\begin{center}
\begin{tabular}{lcc}
\toprule
\textbf{Provider} & \textbf{H100 \$/hr} & \textbf{Type} \\
\midrule
AWS p5.48xlarge & \$3.90 & Hyperscaler \\
Azure NC H100 v5 & \$6.98 & Hyperscaler \\
Lambda Labs & \$2.99 & Specialized \\
RunPod Secure & \$2.39 & Decentralized \\
Hyperbolic & \$1.49 & Decentralized \\
Reserved (1yr) & \$1.85 & Committed \\
\midrule
\textbf{Market Average} & \textbf{\$2.50} & --- \\
\bottomrule
\end{tabular}
\end{center}

\subsubsection{Token Pricing Formula}

Define: \textbf{1 AI = 1 GPU-hour of compute value}

\begin{equation}
P_{\text{launch}} = P_{\text{market}} \times \text{bootstrap\_discount}
\end{equation}

\begin{center}
\begin{tabular}{lccc}
\toprule
\textbf{Discount} & \textbf{AI Price} & \textbf{vs Market} & \textbf{Strategy} \\
\midrule
0\% & \$2.50 & 100\% & Equilibrium \\
50\% & \$1.25 & 50\% & Conservative \\
90\% & \$0.25 & 10\% & Aggressive \\
96\% & \$0.10 & 4\% & Bootstrap \\
99\% & \$0.025 & 1\% & Extreme bootstrap \\
\bottomrule
\end{tabular}
\end{center}

\textbf{Recommended Launch Price:} \$\textbf{0.10}/AI (96\% discount)

\textbf{Rationale:}
\begin{itemize}
    \item Creates massive demand (25x cheaper than market)
    \item Allows 25x price appreciation to equilibrium
    \item \$10M LP depth = meaningful liquidity
    \item Attractive for early miners and users
\end{itemize}

\subsubsection{LP Pool Mathematics}

For Uniswap V2 constant product AMM:

\begin{equation}
k = x \times y \quad \text{where } x = \text{AI}, \quad y = \text{ETH}
\end{equation}

\begin{equation}
P = \frac{y}{x} \times P_{\text{ETH}}
\end{equation}

For \$10M total liquidity at \$0.10/AI:
\begin{align}
\text{AI value} &= \text{ETH value} = \$5\text{M} \\
\text{AI amount} &= \$5\text{M} / \$0.10 = 50\text{M AI} \\
\text{ETH amount} &= \$5\text{M} / \$4,000 = 1,250 \text{ ETH}
\end{align}

\begin{center}
\begin{tabular}{lccc}
\toprule
\textbf{Chain} & \textbf{AI in LP} & \textbf{Pair Token} & \textbf{Pair Amount} \\
\midrule
Ethereum & 50M & ETH & 1,250 ETH \\
Base & 50M & ETH & 1,250 ETH \\
Arbitrum & 50M & ETH & 1,250 ETH \\
Optimism & 50M & ETH & 1,250 ETH \\
BNB Chain & 50M & BNB & 7,350 BNB \\
Avalanche & 50M & AVAX & 119,000 AVAX \\
Polygon & 50M & MATIC & 8.3M MATIC \\
Lux & 50M & LUX & TBD \\
Hanzo & 50M & LUX & TBD \\
Zoo & 50M & LUX & TBD \\
\bottomrule
\end{tabular}
\end{center}

\subsection{Bitcoin-Aligned Halving Schedule}

\subsubsection{Supply Distribution Formula}

Total supply per chain following Bitcoin's geometric series:

\begin{equation}
S = \sum_{i=0}^{\infty} 210000 \times R_0 \times 2^{-i} = 420000 \times R_0
\end{equation}

For $S = 1,000,000,000$ AI:
\begin{equation}
R_0 = \frac{1,000,000,000}{420,000} = 2,381 \text{ AI per block}
\end{equation}

\subsubsection{Block Time Analysis}

\begin{center}
\begin{tabular}{lcccc}
\toprule
\textbf{Block Time} & \textbf{Halving Period} & \textbf{50\% Mined} & \textbf{99\% Mined} & \textbf{Annual Blocks} \\
\midrule
10 min (Bitcoin) & 4 years & 4 years & 27 years & 52,560 \\
2 sec (Quasar) & 4.86 days & 4.86 days & 32 days & 15,768,000 \\
12 sec (Ethereum) & 29 days & 29 days & 195 days & 2,628,000 \\
\textbf{1 min (Balanced)} & \textbf{146 days} & \textbf{146 days} & \textbf{2.7 years} & \textbf{525,600} \\
\bottomrule
\end{tabular}
\end{center}

\textbf{Recommendation:} Use 1-minute effective block time for mining rewards:
\begin{itemize}
    \item Halving every $\sim$146 days (vs 4.86 days with 2-sec blocks)
    \item 50\% mined in first $\sim$5 months
    \item 99\% mined in $\sim$2.7 years
    \item Provides meaningful early miner incentives
    \item Transitions to fee-based model within reasonable timeframe
\end{itemize}

\subsubsection{Adjusted Initial Reward}

With 1-minute blocks (525,600 blocks/year):
\begin{equation}
R_0 = \frac{1,000,000,000}{420,000} = 2,381 \text{ AI per block}
\end{equation}

But with 2-second blocks (to match Quasar consensus), scale the interval:
\textbf{TRUE Bitcoin Alignment}:

4 years at 2-second blocks:
\begin{equation}
\text{Halving Interval} = \frac{4 \times 365.25 \times 24 \times 60 \times 60}{2} = 63,072,000 \text{ blocks}
\end{equation}

Initial reward derived from mining supply (900M AI, not 1B since 100M is LP):
\begin{equation}
R_0 = \frac{900,000,000}{2 \times 63,072,000} \approx 7.14 \text{ AI per block}
\end{equation}

\subsection{Halving Timeline (2-sec blocks, 4-year epochs)}

\textbf{Mathematical Verification}:
\begin{equation}
\text{Epoch Duration} = 63,072,000 \text{ blocks} \times 2 \text{ sec} = 126,144,000 \text{ sec} = 4 \text{ years}
\end{equation}

\begin{center}
\begin{tabular}{ccccc}
\toprule
\textbf{Epoch} & \textbf{Period} & \textbf{Reward} & \textbf{Epoch Supply} & \textbf{Cumulative \%} \\
\midrule
0 & Years 0--4 & 7.14 AI & 450M & 50\% \\
1 & Years 4--8 & 3.57 AI & 225M & 75\% \\
2 & Years 8--12 & 1.785 AI & 112.5M & 87.5\% \\
3 & Years 12--16 & 0.893 AI & 56.25M & 93.75\% \\
4 & Years 16--20 & 0.446 AI & 28.125M & 96.875\% \\
5 & Years 20--24 & 0.223 AI & 14.0625M & 98.4375\% \\
6 & Years 24--28 & 0.112 AI & 7.03M & 99.2\% \\
\vdots & \vdots & \vdots & \vdots & \vdots \\
25 & Years 100--104 & $\sim$0 AI & $\sim$0 & $\sim$100\% \\
\bottomrule
\end{tabular}
\end{center}

\textbf{Bitcoin-Identical Emission Curve}:
\begin{itemize}
    \item 50\% mined in first 4 years (450M AI)
    \item 75\% mined by Year 8 (675M AI)
    \item 87.5\% mined by Year 12 (787.5M AI)
    \item 99\% mined by Year 27 ($\sim$891M AI)
    \item Full emission over 100+ years
\end{itemize}

This matches Bitcoin's exact emission schedule, providing:
\begin{itemize}
    \item Long-term predictability for miners and investors
    \item Sustainable mining economics over decades
    \item Alignment with Bitcoin's proven monetary policy
\end{itemize}

\subsection{Game Theory \& Price Discovery}

\subsubsection{Bootstrap Phase: 96\% Discount}

Starting at \$0.10/AI (vs \$2.50 market):

\begin{enumerate}
    \item \textbf{Demand Creation}: Users get 25x more compute per dollar
    \item \textbf{Miner Incentive}: Mine AI, sell at discount, still profitable
    \item \textbf{Price Pressure}: As demand exceeds supply, price rises
    \item \textbf{Equilibrium}: Price approaches market rate as compute fills
\end{enumerate}

\subsubsection{Price Appreciation Mechanics}

\begin{equation}
P(t) = P_0 \times \left(1 + \frac{D(t) - S(t)}{L}\right)
\end{equation}

where:
\begin{itemize}
    \item $P_0$ = initial price (\$0.10)
    \item $D(t)$ = cumulative demand
    \item $S(t)$ = cumulative supply (mining)
    \item $L$ = LP liquidity depth
\end{itemize}

\subsubsection{Expected Price Trajectory}

\begin{center}
\begin{tabular}{lcccc}
\toprule
\textbf{Phase} & \textbf{Time} & \textbf{Price} & \textbf{vs Market} & \textbf{Driver} \\
\midrule
Launch & Day 0 & \$0.10 & 4\% & LP seed \\
Bootstrap & Month 1 & \$0.25 & 10\% & Early demand \\
Growth & Month 6 & \$0.50 & 20\% & Mining + usage \\
Adoption & Year 1 & \$1.00 & 40\% & Network effects \\
Maturity & Year 2+ & \$2.00+ & 80\%+ & Equilibrium \\
\bottomrule
\end{tabular}
\end{center}

\subsection{Miner Economics}

\subsubsection{GPU Mining Profitability}

At launch (\$0.10/AI, 7.14 AI/block):
\begin{align}
\text{Block Reward Value} &= 7.14 \times \$0.10 = \$0.714 \\
\text{Blocks per hour} &= 1,800 \text{ (2-sec blocks)} \\
\text{Hourly network reward} &= 1,800 \times \$0.714 = \$1,285
\end{align}

If 100 GPUs mining at launch:
\begin{equation}
\text{Per-GPU hourly} = \frac{\$1,285}{100} = \$12.85/\text{hr}
\end{equation}

\textbf{vs GPU operating cost: \$1.50--2.50/hr} $\Rightarrow$ \textbf{5x profitable at launch}

\subsubsection{Miner Incentive Curve}

\begin{center}
\begin{tabular}{lccc}
\toprule
\textbf{Network GPUs} & \textbf{Per-GPU \$/hr} & \textbf{vs Cost} & \textbf{Profitable?} \\
\midrule
50 & \$25.70 & 10x & \checkmark\checkmark\checkmark \\
100 & \$12.85 & 5x & \checkmark\checkmark \\
500 & \$2.57 & 1x & Break-even \\
1,000 & \$1.29 & 0.5x & Fee-dependent \\
\bottomrule
\end{tabular}
\end{center}

\textbf{Equilibrium}: Network grows until per-GPU rewards $\approx$ operating costs.

\textbf{Long-term Economics}: With 4-year halvings, miners have:
\begin{itemize}
    \item Predictable 4-year planning horizons
    \item Time to amortize hardware investments
    \item Transition to fee-based revenue as rewards decline
\end{itemize}

\subsection{Compute Market Economics}

\subsubsection{AI Service Pricing}

1 AI token = 1 GPU-hour at market equilibrium:

\begin{center}
\begin{tabular}{lccc}
\toprule
\textbf{Service} & \textbf{GPU-hours} & \textbf{AI Cost} & \textbf{USD (at \$2)} \\
\midrule
LLM inference (1M tokens) & 0.01 & 0.01 AI & \$0.02 \\
Image generation (100) & 0.1 & 0.1 AI & \$0.20 \\
Fine-tuning (7B model) & 10 & 10 AI & \$20 \\
Training (70B model) & 10,000 & 10K AI & \$20,000 \\
\bottomrule
\end{tabular}
\end{center}

\subsubsection{Confidential Compute Premium}

With NVTrust attestation, providers can charge premium:

\begin{center}
\begin{tabular}{lcc}
\toprule
\textbf{Trust Level} & \textbf{Multiplier} & \textbf{Use Case} \\
\midrule
Public (no TEE) & 1.0x & General inference \\
Private (SGX) & 1.2x & Sensitive data \\
Confidential (H100 CC) & 1.5x & Enterprise \\
Sovereign (Blackwell) & 2.0x & Government/Finance \\
\bottomrule
\end{tabular}
\end{center}

\subsection{Long-term Contracts}

\subsubsection{Prepaid Compute Contracts}

Smart contract for committed compute:

\begin{lstlisting}[style=solidity]
contract ComputeContract {
    struct Commitment {
        address user;
        uint256 aiAmount;      // Prepaid AI tokens
        uint256 gpuHours;      // Committed hours
        uint256 pricePerHour;  // Locked rate
        uint256 expiry;        // Contract end
        address provider;      // Assigned provider
    }

    // Lock AI tokens for 1-year commitment
    // Get 20% discount vs spot
    function createYearContract(
        uint256 monthlyHours,
        address preferredProvider
    ) external {
        uint256 totalHours = monthlyHours * 12;
        uint256 discountedPrice = spotPrice * 80 / 100;
        uint256 totalCost = totalHours * discountedPrice;

        aiToken.transferFrom(msg.sender, address(this), totalCost);

        commitments[msg.sender] = Commitment({
            user: msg.sender,
            aiAmount: totalCost,
            gpuHours: totalHours,
            pricePerHour: discountedPrice,
            expiry: block.timestamp + 365 days,
            provider: preferredProvider
        });
    }
}
\end{lstlisting}

\subsubsection{Contract Tiers}

\begin{center}
\begin{tabular}{lccc}
\toprule
\textbf{Commitment} & \textbf{Discount} & \textbf{Min Hours} & \textbf{Lock Period} \\
\midrule
Spot & 0\% & 0 & None \\
Monthly & 10\% & 100 hrs & 30 days \\
Quarterly & 15\% & 500 hrs & 90 days \\
Annual & 20\% & 2,000 hrs & 365 days \\
Enterprise & 30\% & 10,000 hrs & Custom \\
\bottomrule
\end{tabular}
\end{center}

\subsection{LP Mining Rewards}

\subsubsection{Liquidity Provider Incentives}

LP token holders receive share of:

\begin{enumerate}
    \item \textbf{Swap Fees}: 0.3\% of all trades
    \item \textbf{Mining Rewards}: 10\% of block rewards
    \item \textbf{Protocol Fees}: 5\% of compute payments
\end{enumerate}

\begin{equation}
\text{LP APY} = \frac{\text{Fees} + \text{Mining Share}}{\text{LP Value}} \times 100\%
\end{equation}

Expected APY at launch: \textbf{50--200\%} (declining as TVL grows)

\subsubsection{Community Ownership}

\begin{itemize}
    \item Anyone can provide liquidity
    \item LP tokens = ownership share of AI ecosystem
    \item Mining rewards distributed proportionally
    \item Governance rights via LP token staking
\end{itemize}

\subsection{Treasury Allocation}

\begin{equation}
\text{Treasury} = 2\% \times \text{Mining Rewards}
\end{equation}

Per-chain treasury (over full mining emission):
\begin{equation}
\text{Treasury Total} = 0.02 \times 900\text{M} = 18\text{M AI per chain}
\end{equation}

\textbf{Note}: Treasury is 2\% of the 900M \textit{mining} allocation, not the full 1B supply. The 100M LP allocation does not contribute to treasury.

\textbf{Treasury Uses}:
\begin{itemize}
    \item Protocol development (40\%)
    \item Security audits (20\%)
    \item Community grants (20\%)
    \item Bridge security reserves (20\%)
\end{itemize}

\subsection{Cross-Chain Dynamics}

\subsubsection{Teleport Arbitrage}

If AI trades at different prices across chains:

\begin{equation}
\text{Profit} = P_{\text{high}} - P_{\text{low}} - \text{bridge\_fee}
\end{equation}

Arbitrageurs will:
\begin{enumerate}
    \item Buy AI on low-price chain
    \item Teleport to high-price chain
    \item Sell for profit
    \item Prices converge across chains
\end{enumerate}

\subsubsection{Per-Chain Supply Elasticity}

Via Teleport, individual chain supplies can:
\begin{itemize}
    \item Rise above 1B (inflows from other chains)
    \item Fall below 1B (outflows to other chains)
    \item Global supply remains fixed at $n \times 1B$
\end{itemize}

\subsection{Adding New Chains}

\subsubsection{Governance Process}

\begin{enumerate}
    \item \textbf{Proposal}: Submit chain addition proposal
    \item \textbf{Discussion}: 7-day community discussion
    \item \textbf{Vote}: Token holders vote (50\%+ approval)
    \item \textbf{Deployment}: Auto-deploy contracts via factory
    \item \textbf{Bridge}: Add to Teleport MPC config
    \item \textbf{LP Seeding}: Seed initial liquidity pool
\end{enumerate}

\subsubsection{Self-Deployment Option}

Anyone can deploy AI token to a new chain:

\begin{lstlisting}[style=solidity]
// Deploy AIToken to new chain
AITokenFactory.deploy(
    safe,           // MPC wallet address
    treasury,       // Treasury address
    teleportBridge  // Teleport bridge address
);

// Must be added to Teleport for cross-chain
// Requires governance vote or MPC approval
\end{lstlisting}

\subsection{Summary: Bitcoin for AI Economics}

\begin{center}
\begin{tabular}{ll}
\toprule
\textbf{Parameter} & \textbf{Value} \\
\midrule
Supply per chain & 1,000,000,000 AI \\
LP allocation & 100,000,000 AI (10\%) \\
Mining allocation & 900,000,000 AI (90\%) \\
Launch chains & 10 (10B total) \\
Maximum chains & 1,000 (1T total) \\
LP depth per chain & \$10M \\
Launch price & \$0.10/AI \\
Equilibrium price & \$2.00--2.50/AI \\
Initial block reward & 7.14 AI \\
Halving interval & 63,072,000 blocks \\
Halving period & $\sim$4 years \\
Block time & 2 seconds \\
Treasury rate & 2\% of mining \\
Treasury total & 18M AI per chain \\
Time to 50\% mined & $\sim$4 years \\
Time to 99\% mined & $\sim$27 years \\
Time to 100\% mined & $\sim$100+ years \\
\bottomrule
\end{tabular}
\end{center}

\textbf{Value Proposition}:
\begin{itemize}
    \item Users: 25x cheaper compute at launch
    \item Miners: 5--10x profitable at launch
    \item LPs: 50--200\% APY at launch
    \item Community: Own their AI infrastructure
\end{itemize}