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An intersection theorem on an unbounded set and its application to the fair allocation problem

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Publication:1608148
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DOI10.1023/A:1017587615488zbMath1008.90071OpenAlexW178112490MaRDI QIDQ1608148

R. Smith

Publication date: 12 August 2002

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1017587615488


zbMATH Keywords

intersection theoremfair allocationcombinatorial theorem


Mathematics Subject Classification ID

Continuous location (90B85) Optimality conditions and duality in mathematical programming (90C46)


Related Items

General existence theorem of zero points ⋮ A general strategy proof fair allocation mechanism ⋮ A constructive proof of Ky Fan's coincidence theorem



Cites Work

  • Equilibrium in a discrete exchange economy with money
  • A new bargaining set of an \(N\)-person game and endogenous coalition formation
  • Existence of an equilibrium in a competitive economy with indivisibilities and money
  • Intersection theorems with a continuum of intersection points
  • Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness
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