Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Convergence in a sequential two stages decision making process

Document Type : ORO2013

Authors
1 Departament‎ ‎d'Economia i d'Historia Economica‎, ‎Universitat Autonoma de‎ ‎Barcelona‎, ‎08193 Bellaterra‎, ‎and Barcelona Graduate School of Mathematics (BGSMath)‎, ‎BARCELONA‎, ‎Spain.
2 Aix-Marseille University (Aix-Marseille School of Economics)‎ ‎CNRS & EHESS‎, ‎Chateau Lafarge‎, ‎route des Milles‎, ‎13290 Les Milles‎, ‎France.
Abstract
We analyze a sequential decision making process, in which at each step the decision is made in two stages. In the rst stage a partially optimal action is chosen, which allows the decision maker to learn how to improve it under the new environment. We show how inertia (cost of changing) may lead the process to converge to a routine where no further changes are made. We illustrate our scheme with some economic models.
Keywords
Subjects

C. Berge, Espaces Topologiques: Fonctions Multivoques, Coll. Universitaire de Mathematiques, 3, Dunod, Paris, 1959.
J. Caristi, Fixed point theorems for mappings satisfying inwardness conditions, Trans. Amer. Math. Soc. 215 (1976) 241--251.
Volume 42, Issue 7 (Special Issue)
December 2016
Pages 25-29

  • Receive Date 08 March 2016
  • Revise Date 13 June 2016
  • Accept Date 14 December 2016