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Restructured from flat .tex/.pdf files into per-paper subdirectories. Added Antje Worring as co-author on all papers. Synced PDFs to pdfs/ for download site.
47 lines
2.2 KiB
TeX
47 lines
2.2 KiB
TeX
\section{Agent Economics}
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\label{sec:economics}
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Sovereign agents are economic actors. They consume resources (compute, storage, network, oracle queries, model inference) and must account for costs within a finite budget.
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\subsection{Budget Capsule}
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Each Agent Capsule has an associated on-chain budget account on the C-Chain. The budget is denominated in LUX and subject to the following constraints:
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\begin{definition}[Budget Capsule]
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A budget capsule $B = (b_0, \ell_{\text{action}}, \ell_{\text{epoch}}, \ell_{\text{tx}})$ comprises:
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\begin{itemize}
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\item $b_0$: the initial balance funded by the principal,
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\item $\ell_{\text{action}}$: the maximum spend per single action,
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\item $\ell_{\text{epoch}}$: the maximum spend per epoch (configurable, default 24 hours),
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\item $\ell_{\text{tx}}$: the maximum spend per single transaction.
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\end{itemize}
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\end{definition}
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\subsection{Per-Action Cost Accounting}
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Every action the agent takes incurs a cost. The cost is computed from a deterministic fee schedule published on-chain:
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\begin{equation}\label{eq:cost}
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\text{cost}(a) = \text{gas}(a) \cdot \text{baseFee}_t + \text{oracle}(a) + \text{inference}(a)
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\end{equation}
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where $\text{gas}(a)$ is the on-chain gas consumed, $\text{baseFee}_t$ is the current base fee, $\text{oracle}(a)$ is the oracle query cost, and $\text{inference}(a)$ is the model inference cost (Section~\ref{sec:private-inference}).
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The agent's running balance is maintained on-chain:
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\begin{equation}\label{eq:balance}
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b_{t+1} = b_t - \text{cost}(a_t)
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\end{equation}
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When $b_t < \ell_{\text{action}}$, the capsule transitions to the Suspended state. The principal may top up the budget to resume execution.
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\subsection{Settlement}
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Actions that involve cross-capsule payments (e.g., one agent paying another for a service) are settled atomically on the C-Chain via a payment channel. For high-frequency, low-value interactions, agents maintain state channels that batch settlements:
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\begin{equation}\label{eq:settlement}
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\text{Settle}(\{(a_i, c_i)\}_{i=1}^{n}) = \text{TX}\Big(\sum_{i=1}^{n} c_i, \text{from}: B_A, \text{to}: B_B\Big)
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\end{equation}
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Settlement frequency is configurable per capsule pair, with a maximum interval of one epoch.
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