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The architecture of public reasons

Author

Listed:
  • Pieroni, Luca
  • Roig, Melcior Rossellò

Abstract

This paper studies the ex ante design of costly reform architectures. Before the welfare environment is realised, an institution chooses a directed graph of admissible public reasons over a finite set of institutional meanings. Re form proceeds along maintained edges via welfare non-decreasing steps. The main result characterises reform completeness through a trap-cut condition: the architecture must contain a welfare-improving exit from every upper-contour trap. On the unrestricted welfare domain this forces the complete directed graph; on a tree-single-peaked domain the unique minimum-cost architecture is the bidirected tree, reducing the language from quadratic to linear. Under ambiguity about the domain, only three architectures are optimal—no costly language, the bidirected tree, or the complete graph—and the sparse intermediate regime collapses discontinuously to the complete language above a critical ambiguity threshold. The analysis extends to finite lattices, where the bidi rected cover graph is the unique minimum-cost architecture for domains with cover-connected upper contours.

Suggested Citation

  • Pieroni, Luca & Roig, Melcior Rossellò, 2026. "The architecture of public reasons," MPRA Paper 129163, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:129163
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    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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