A SOLUTION MAPPING AND ITS AXIOMATIZATION IN TWO-PERSON INTERVAL GAMES

• Ishihara Shinichi

  Waseda University

• Shino Junnosuke

  Waseda University

Abstract

An interval game is an extension of characteristic function form games in which players are assumed to face payoff uncertainty. The characteristic function thus assigns a closed interval, instead of a real number. In this paper, we propose a new solution mapping of two-person interval games and three different axiomatizations of the solution mapping are provided.

Journal

• Journal of the Operations Research Society of Japan

  Journal of the Operations Research Society of Japan 64 (4), 214-226, 2021-10-31

  The Operations Research Society of Japan

Keywords

• Game theory
• interval games
• interval uncertainty
• solution mapping
• axiomatization

Details

• CRID: 1390571395582928000
• NII Article ID: 130008109067
• NII Book ID: AA00703935
• DOI: 10.15807/jorsj.64.214
• ISSN: 21888299
• ISSN: 04534514
• NDL BIB ID: 031826766
• Web Site: http://id.ndl.go.jp/bib/031826766
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I031826766
• Web Site: https://www.jstage.jst.go.jp/article/jorsj/64/4/64_214/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed