Equivalence between the existence of an approximate equilibrium in a competitive economy and Sperner's lemma: a constructive analysis

DOI10.5402/2011/384625zbMath1244.54102OpenAlexW2060045967WikidataQ58689315 ScholiaQ58689315MaRDI QIDQ420181

Yasuhito Tanaka

Publication date: 21 May 2012

Published in: ISRN Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2011/384625

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) General equilibrium theory (91B50) Other constructive mathematics (03F65)

Related Items (2)

Constructive proof of the existence of Nash equilibrium in a finite strategic game with sequentially locally nonconstant payoff functions ⋮ A proof of constructive version of Brouwer's fixed point theorem with uniform sequential continuity

Cites Work

• Techniques of constructive analysis
• Non-cooperative games
• Rental Harmony: Sperner's Lemma in Fair Division
• Brouwer’s Approximate Fixed-Point Theorem is Equivalent to Brouwer’s Fan Theorem
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