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Optimizing the application order under precedent-based decision-making.

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Summary
This summary is machine-generated.

A proposer seeking application approval faces complex decisions. Optimal strategies depend on whether utility increases or decreases with approvals, with general cases proving computationally intractable.

Keywords:
approval decisionsfoot-in-the-doornearest neighborprecedentsstrategic sequencing

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Area of Science:

  • Decision Theory
  • Computational Complexity
  • Game Theory

Background:

  • The Authority's consistent decision-making is modeled using the nearest-neighbor criterion.
  • The Proposer's utility function determines the complexity of the submission strategy.

Purpose of the Study:

  • To analyze the decision problem of a Proposer submitting applications to a consistent Authority.
  • To determine optimal submission strategies under varying utility functions.

Main Methods:

  • Modeling Authority consistency with the nearest-neighbor criterion.
  • Analyzing optimal strategies for different Proposer utility functions.
  • Investigating computational complexity, including NP-hardness.

Main Results:

  • A greedy strategy is optimal if utility increases with all approved applications.
  • The problem becomes significantly more complex when utility has mixed increases and decreases.
  • An optimal strategy is polynomial-time computable in the single-dimensional case.

Conclusions:

  • Finding optimal submission strategies can be computationally intractable in general cases.
  • Even without strategic behavior, evaluating submission impacts is complex.
  • The Proposer's utility structure is critical for determining strategy optimality and computational feasibility.