Stable equilibria-a reformulation. II. Discussion of the definition, and further results

Mertens, Jean-François
(1991) Mathematics of operations research — Vol. 16, n° 4, p. 694-753 (1991)

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  • Mertens, Jean-FrançoisUCLouvain
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Abstract
For pt.I see ibid., vol.14, no.4, p.575-625 (1989). This paper discusses the geometric content of the definition, showing in particular the algebraic distinctions to matter. It provides an equivalent definition that gets rid of the need to use Hausdorff limits, and finally it shows that a decomposition axiom eliminates most of the algebraic possibilities, leaving only the /b p/-stable sets, for /b p / zero or prime.
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Mertens, J.-F. (1991). Stable equilibria-a reformulation. II. Discussion of the definition, and further results. Mathematics of operations research, 16(4), 694-753. https://hdl.handle.net/2078.5/24360 (Original work published 1991)