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Enveloppe convexe des hyperplans d’un espace affine fini

Olivier Anglada, Jean François Maurras (2003)

RAIRO - Operations Research - Recherche Opérationnelle

Dans cet article nous caractérisons, par les facettes, l’enveloppe convexe des vecteurs caractéristiques des hyperplans d’un espace projectif fini et d’un espace affine fini.

Enveloppe convexe des hyperplans d'un espace affine fini

Olivier Anglada, Jean François Maurras (2010)

RAIRO - Operations Research

Dans cet article nous caractérisons, par les facettes, l'enveloppe convexe des vecteurs caractéristiques des hyperplans d'un espace projectif fini et d'un espace affine fini.

Equidecomposability of Jordan domains under groups of isometries

M. Laczkovich (2003)

Fundamenta Mathematicae

Let G d denote the isometry group of d . We prove that if G is a paradoxical subgroup of G d then there exist G-equidecomposable Jordan domains with piecewise smooth boundaries and having different volumes. On the other hand, we construct a system d of Jordan domains with differentiable boundaries and of the same volume such that d has the cardinality of the continuum, and for every amenable subgroup G of G d , the elements of d are not G-equidecomposable; moreover, their interiors are not G-equidecomposable...

Equilibria in a class of games and topological results implying their existence.

R.S. Simon, S. Spiez, H. Torunczyk (2008)

RACSAM

We survey results related to the problem of the existence of equilibria in some classes of infinitely repeated two-person games of incomplete information on one side, first considered by Aumann, Maschler and Stearns. We generalize this setting to a broader one of principal-agent problems. We also discuss topological results needed, presenting them dually (using cohomology in place of homology) and more systematically than in our earlier papers.

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