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«Visible Gains, Invisible Losses: A Formal Approach to the Seduction Trap and the Accumulation of Social Graves»
[Gains visibles, pertes invisibles : une approche formelle du piège de la séduction et de l'accumulation des tombes sociales]

Author

Listed:
  • Philibert Andriamanantena

    (Université de Fianarantsoa)

  • Rajaonah Valérie Murielle Andriasalama

    (Université de Fianarantsoa)

  • Ratsimbazafy Ratsimbazafy

    (ENS, Université de Fianarantsoa)

Abstract

Attractive stochastic systems often generate visible gains while accumulating latent structural costs. This paper introduces a rigorous spectral framework for quantifying such hidden-cost dynamics within absorbing Markov models. We define the Hidden Graveyard Cost (HGC) as the expected cumulative hidden exposure prior to absorption and express it in closed form through the resolvent operator (I −Q) −1 of the transient subsystem. We establish that hidden-cost finiteness is equivalent to the spectral condition ρ(Q)

Suggested Citation

  • Philibert Andriamanantena & Rajaonah Valérie Murielle Andriasalama & Ratsimbazafy Ratsimbazafy, 2026. "«Visible Gains, Invisible Losses: A Formal Approach to the Seduction Trap and the Accumulation of Social Graves» [Gains visibles, pertes invisibles : une approche formelle du piège de la séduction et de l'accumulation des tombes sociales]," Working Papers hal-05532211, HAL.
    • Handle: RePEc:hal:wpaper:hal-05532211
    Note: View the original document on HAL open archive server: https://hal.science/hal-05532211v1
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