Transfer Pricing Formulations and Multinational Profit Shifting: A Game-Theoretic Optimization under Pillar Two

Authors: Global Actuarial Team, Aero-Sovereign Accounting Group

Abstract: This paper explores the optimization of capital allocation formulas for multinational corporations under the constraints of the OECD's Pillar Two global minimum tax. We propose a game-theoretic model to balance tax efficiency with audit compliance, ensuring unmodified opinions across multiple jurisdictions.

1. The Optimization Objective

In the era of global minimum taxation, the traditional approach to profit shifting requires a fundamental recalibration. The optimal allocation $x_i^*$ must account for the global minimum tax rate $\tau_{min}$ and the average effective rate $\bar{\tau}$.

x_i^* = \arg\max_{x_i} \sum_{j=1}^n \left[ (1 - \tau_j) \cdot \pi_j(x_{ij}) - \Phi_j(x_{ij}, \alpha_j) \right] - \max\left(0, \tau_{min} - \bar{\tau}\right) \cdot E

Where $\Phi_j$ represents the audit risk penalty function, and $E$ is the total global excess profit subject to top-up tax. Our model demonstrates that under zero-trust ethical gates, the convergence of tax planning and audit integrity is not only possible but mathematically inevitable.

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