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Extensive Forms

In: The Theory of Extensive Form Games

Author

Listed:
  • Carlos Alós-Ferrer

    (University of Cologne)

  • Klaus Ritzberger

    (Institute for Advanced Studies)

Abstract

This chapter turns to the concept of a (pure) strategy. More precisely, it characterizes EDPs that satisfy three basic desiderata: (A0) Every play can be induced by some strategy combination. (A1) Every strategy combination induces some play. (A2) The play induced by a given strategy combination is unique. While (A0) demands no further restrictions on the game tree, (A1) and (A2) hold for extensive forms if and only if the tree is weakly up-discrete, coherent, and regular. Since the characterizing properties are rather weak, this puts almost all models from the literature within the realm of “playable” games. The only exception concerns games in continuous time; those fail both (A1) and (A2).

Suggested Citation

  • Carlos Alós-Ferrer & Klaus Ritzberger, 2016. "Extensive Forms," Springer Series in Game Theory, in: The Theory of Extensive Form Games, chapter 5, pages 99-130, Springer.
  • Handle: RePEc:spr:spschp:978-3-662-49944-3_5
    DOI: 10.1007/978-3-662-49944-3_5
    as

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