An \(N\)-dimensional version of Scarf's example

DOI10.1016/j.nonrwa.2007.06.006zbMath1156.91344OpenAlexW2042707863MaRDI QIDQ1007728

Junichi Minagawa

Publication date: 24 March 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.06.006

zbMATH Keywords

bifurcationgeneral equilibrium theoryGale's exampleScarf's examplestability/instability

Mathematics Subject Classification ID

Utility theory (91B16) General equilibrium theory (91B50)

Cites Work

• Dressing the emperor in a new dynamic outfit
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Global stability in a class of markets with three commodities and three consumers
• Basic numerical mathematics. Vol. 2: Numerical algebra
• Elements of applied bifurcation theory.
• Stability of tâtonnement processes of short period equilibria with rational expectations
• A globally and universally stable price adjustment process
• A pitchfork bifurcation in the tatonnement process
• Variations on the theme of Scarf's counter-example
• Topological methods in Walrasian economics
• Global instability in experimental general equilibrium: the Scarf example
• A note on ``Stability of tâtonnement processes of short period equilibria with rational expectations
• Global stability condition on the plane: a general law of demand
• Some Examples of Global Instability of the Competitive Equilibrium
• Market Dynamics and the Law of Demand
• The Stability of a Competitive Economy: A Survey Article
• On the Stability of Competitive Equilibrium and the Patterns of Initial Holdings: An Example
• Effective Price Mechanisms
• Two Remarks on the Number of Equilibria of an Economy
• On the Sensitivity of Stability Results to the Choice of the Numeraire

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