IDEAS home Printed from https://ideas.repec.org/p/kyo/wpaper/631.html
   My bibliography  Save this paper

Coextrema Additive Operators

Author

Listed:
  • Atsushi Kajii

    (Institute of Economic Research, Kyoto University)

  • Hiroyuki Kojima

    (Department of Economics, Teikyo University)

  • Takashi Ui

    (Faculty of Economics, Yokohama National University)

Abstract

This paper proposes a class of weak additivity concepts for an operator on the set of real valued functions on a finite state space Ω, which include additivity and comonotonic additivity as extreme cases. Let E ⊆ 2Ω be a collection of subsets of Ω. Two functions x and y on Ω are E-coextrema if, for each E ∈ E, the set of minimizers of x restricted on E and that of y have a common element, and the set of maximizers of x restricted on E and that of y have a common element as well. An operator I on the set of functions on Ω is E-coextrema additive if I(x+y) = I(x)+I(y) whenever x and y are E-coextrema. The main result characterizes homogeneous E-coextrema additive operators.

Suggested Citation

  • Atsushi Kajii & Hiroyuki Kojima & Takashi Ui, 2007. "Coextrema Additive Operators," KIER Working Papers 631, Kyoto University, Institute of Economic Research.
    • Handle: RePEc:kyo:wpaper:631
    as

    Download full text from publisher

    File URL: http://www.kier.kyoto-u.ac.jp/DP/DP631.pdf
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    Choquet integral; comonotonicity; non-additive probabilities; capacities;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kyo:wpaper:631. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Makoto Watanabe (email available below). General contact details of provider: https://edirc.repec.org/data/iekyojp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.