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Kooperative Spiele Und Märkte by Joachim Rosenmüller

Kooperative Spiele Und Märkte

by Joachim Rosenmüller
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Book cover type: Paperback
  • ISBN13: 9783540055501
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 152
  • Original Price: EUR 51.39
  • Language: German
  • Edition: N/A
  • Item Weight: 291 grams
  • BISAC Subject(s): Economics / Theory

Das Ziel dieser Ausarbeitung ist, Studenten jUngerer und mittlerer Se- mester mit einigen Entwicklungen dar kooperativen Spie1theorie be- kannt zu machen. Dabei haben wir insbesondere die seit einiger Zeit zunehmend interessierenden Anwendungen in der mathematischen Okono- mie 1m Auge, da ein Lehrbuch oder eine zusammenfassende Darstellung dieses Gebietes anscheinend nicht existiert. Dementsprechend ist der Schwierigkeitsgrad gehalten: das erste Kapitel kann mit geringen mathe- matischen Vorkenntnissen verstanden werden, im zweiten wird etwas e1e- mentare Wahrscheinlichkeitstheorie verlangt. FUr das dritte Kapite1 sind Kenntnisse der MaS- und Integrationstheorie unerlaBlich. Die Zielsetzung, einerseits eine Einflihrung zu geben und andererseits wenigstens in einer Richtung bis zu den derzeit neuesten Arbeiten vor- zustoBen, zwingt zu gewissen Einschrankungen. - der Band ware sonst zu vOluminosausgefa1len. So verzichten wir z. B. auf die von M. Maschler und B. Peleg eingefUhrten Begriffe "Bargaining set" und "Kernel" ([M], [pJ). und auf neuere Arbeiten tiber die Frage der Approximationkonti- nuier1icher Markte durch end1iche in einer passenden Topo1ogie (Y. Kan- nai, G. Debreu, W. Hildenbrand u. a. ). Von der Theorie der stabilen Mengen flihren wir nur aus v. Neumann's k1assischen Ergebnissen einiges vor, auch hier sind die Entwick1ungen inzwischen weiter gegangen. Un- ser Hauptpfad flihrt in diese Richtung: die spieltheoretischen Begriffe "Core" und "Shapley-Wert" zu diskutieren, ihren, auf M. Shubik und L. S. Shapley zurtickgehenden, Zusammenhang mit dem k1assischen Marktg1eich- gewicht aufzuzeigen und das allmah1iche Zusammenwachsen aller drei Be- griffe bei "groBen" Spielermengen zu verfolgen.

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