Nice Bounds for the Generalized Ballot Problem
Delong Meng
TL;DR
This paper establishes two precise bounds for the generalized ballot problem, which involves determining the probability that candidate A maintains a lead over candidate B by a factor of at least b5 during the counting process.
Contribution
It introduces two sharp bounds for the generalized ballot problem applicable to any real b5, extending previous results in election probability analysis.
Findings
Derived two tight bounds for the generalized ballot problem.
Applicable to any real b5, broadening previous special cases.
Enhances understanding of election probability dynamics.
Abstract
This paper gives two sharp bounds for the generalized ballot problem with candidate A receiving at least \mu times as candidate B for an arbitrary real number \mu.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Computational Geometry and Mesh Generation · Optimization and Packing Problems