Ceparano, Maria Carmela (2015) Nash equilibrium selection in multi-leader multi-follower games with vertical separation. [Tesi di dottorato]
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| Tipologia del documento: | Tesi di dottorato |
|---|---|
| Lingua: | English |
| Titolo: | Nash equilibrium selection in multi-leader multi-follower games with vertical separation |
| Autori: | Autore Email Ceparano, Maria Carmela milena.ceparano@gmail.com |
| Data: | 30 Marzo 2015 |
| Numero di pagine: | 121 |
| Istituzione: | Università degli Studi di Napoli Federico II |
| Dipartimento: | Scienze Economiche e Statistiche |
| Scuola di dottorato: | Scienze economiche e statistiche |
| Dottorato: | Scienze economiche |
| Ciclo di dottorato: | 26 |
| Coordinatore del Corso di dottorato: | nome email Acconcia, Antonio antonio.acconcia@unina.it |
| Tutor: | nome email Morgan, Jacqueline [non definito] |
| Data: | 30 Marzo 2015 |
| Numero di pagine: | 121 |
| Parole chiave: | Stackelberg games; equilibrium selection; existence of solutions |
| Settori scientifico-disciplinari del MIUR: | Area 13 - Scienze economiche e statistiche > SECS-S/06 - Metodi matematici dell'economia e delle scienze attuariali e finanziarie |
| Depositato il: | 10 Apr 2015 08:31 |
| Ultima modifica: | 12 Nov 2015 02:00 |
| URI: | http://www.fedoa.unina.it/id/eprint/10254 |
| DOI: | 10.6092/UNINA/FEDOA/10254 |
Abstract
The aim of this thesis is twofold. On the one hand new results on the concavity and the isotonicity of the optimal solution function of a parametric maximization problem are obtained. The maximizing function is not required to be continuous and the generalized version of the notion of pseudoconcavity in terms of Dini derivatives is used. These results, together with a new fixed point theorem for set-valued maps, are used to answer to the second issue concerning a selection of Nash equilibria, called equilibrium under passive beliefs, of a multi-leader multi-follower game with vertical separation and partially observed actions. Indeed, an equilibrium under passive beliefs correspond to a fixed point of particular set-valued maps related to the sets of solutions of parametric bilevel optimization problems. Existence of equilibria under passive beliefs for significative classes of problems and conditions of minimal character on data possibly discontinuous are proved. An economic example of such interaction can be found in games of multilateral vertical contracts: competing manufacturers (the leaders) delegate retail decisions to exclusive retailers (the followers), offering a private contract.
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