New Framework Balances Actuarial and Solidarity Fairness in Insurance Pricing

Tianhe Zhang, Xiguang Liu, Peng Shi· June 16, 2026 View original

Summary

Researchers propose the α-Fair Individual Solvent Premium (α-FISP) framework to address the tension between actuarial and solidarity fairness in insurance pricing. This constrained optimization approach allows decision-makers to select an operating point along a fairness spectrum while guaranteeing solvency.

The challenge of achieving fairness in insurance pricing is a long-standing debate, balancing the insurer's need for profitability through actuarial fairness (differentiating premiums by individual risk) with the societal function of insurance to pool risks and promote solidarity fairness (cross-subsidization). Modern data capabilities exacerbate this tension by allowing for increasingly granular risk differentiation. To navigate this complex landscape, a new framework called the α-Fair Individual Solvent Premium (α-FISP) has been introduced. This framework explicitly models the trade-off between actuarial and solidarity fairness, while crucially guaranteeing the solvency of insurance operations. It formulates the pricing problem as a constrained optimization task. Within this framework, actuarially fair premiums are adjusted subject to budget constraints on cross-subsidization within each risk class. The parameter 'α' creates a continuum of solutions, allowing decision-makers to choose a specific operating point along the fairness spectrum, ranging from purely actuarial to purely solidarity-based pricing. The framework is computationally tractable and aligns with diverse regulatory requirements, offering theoretical guarantees and practical applicability.

Why it matters

For insurance professionals and regulators, this framework offers a principled, computable method to address the persistent fairness dilemma in pricing. It enables transparent decision-making, helps navigate regulatory pressures, and can lead to more equitable yet solvent insurance products.

How to implement this in your domain

  1. 1Evaluate current insurance pricing models against the α-FISP framework to identify potential fairness trade-offs.
  2. 2Utilize the α-FISP model to quantify and manage cross-subsidization within different risk classes.
  3. 3Collaborate with actuaries and data scientists to implement the constrained optimization task for premium adjustments.
  4. 4Engage with regulators to demonstrate how α-FISP can align pricing strategies with state-level fairness requirements.
  5. 5Develop new insurance products that explicitly leverage the α-FISP continuum to offer customizable fairness options to consumers.

Who benefits

BFSI (Insurance)Regulatory AffairsActuarial SciencePublic Policy

Key takeaways

  • Insurance pricing faces a fundamental tension between actuarial and solidarity fairness.
  • The α-FISP framework offers a computable solution to balance these two fairness notions.
  • It allows for selecting a point on a fairness continuum while ensuring insurer solvency.
  • The framework is computationally tractable and aligns with diverse regulatory needs.

Original post by Tianhe Zhang, Xiguang Liu, Peng Shi

"arXiv:2606.14898v1 Announce Type: new Abstract: Fairness in insurance pricing remains a long-standing and deeply debated puzzle. On one hand, insurers, driven by profitability considerations, set premiums that differentiate across individual risks to achieve actuarial fairness. O…"

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Originally posted by Tianhe Zhang, Xiguang Liu, Peng Shi on X · view source

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