Name
Abstract | ||
|---|---|---|
Bloch and de Clippel (J Econ Theory 145:2424–2434, 2010) characterized sets of balanced TU-games on which the core correspondence is linear by means of an equivalence relation. We characterize maximal regions on which the core correspondence is linear in four different ways. First, by finitely many linear equalities and inequalities; thus, the core is piecewise linear. Second, maximal linear regions coincide with closures of equivalence classes (in the sense of Bloch and de Clippel) that are maximal w.r.t. set inclusion. Third, maximal linear regions coincide with closures of equivalence classes of full dimension. Fourth, for every extreme point of the core of a game in the interior of a maximal linear region, the collection of tight core inequalities constitutes a basis. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/s00182-017-0604-8 | Int. J. Game Theory |
Keywords | Field | DocType |
Transferable utility games,Core correspondence,Piecewise linearity | Extreme point,Equivalence relation,Mathematical economics,Linearity,Pure mathematics,Equivalence class,Piecewise linear function,Mathematics | Journal |
Volume | Issue | ISSN |
47 | 4 | 0020-7276 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dénes Pálvölgyi | 1 | 1 | 0.72 |
| Hans Peters | 2 | 39 | 21.55 |
| Dries Vermeulen | 3 | 70 | 18.63 |