Recent turmoil in financial and commodities markets has renewed questions regarding how well markets discover equilibrium prices, particularly when those markets are highly complex. A relatively new critique questions whether markets can realistically find equilibrium prices if computers cannot....

In this work we give a complete description of the set covering polyhedron of circulant matrices $$C^k_{sk}$$ C s k k with $$s=2,3$$ s = 2 , 3 and $$k \ge 3 $$ k ≥ 3 by linear inequalities. In particular, we prove that every non boolean facet defining inequality is associated with a circulant...

In this work we give a complete description of the set covering polyhedron of circulant matrices <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$C^k_{sk}$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <msubsup> <mi>C</mi> <mrow> <mi>s</mi> <mi>k</mi> </mrow> <mi>k</mi> </msubsup> </math> </EquationSource> </InlineEquation> with <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$s=2,3$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mi>s</mi> <mo>=</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> </mrow> </math> </EquationSource> </InlineEquation> and <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$k \ge 3 $$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mi>k</mi> <mo>≥</mo> <mn>3</mn> </mrow> </math> </EquationSource> </InlineEquation> by linear inequalities. In particular, we prove that every non boolean facet defining inequality is...</equationsource></equationsource></inlineequation></equationsource></equationsource></inlineequation></equationsource></equationsource></inlineequation>

We consider the following problem: estimate the size of a population marked with serial numbers after only a sample of the serial numbers has been observed. Its simplicity in formulation and the inviting possibilities of application make this estimation well suited for an undergraduate level...

We propose a methodology for clustering financial time series of stocks’ returns, and a graphical set-up to quantify and visualise the evolution of these clusters through time. The proposed graphical representation allows for the application of well known algorithms for solving classical...