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Extensive Decision Problems

In: The Theory of Extensive Form Games

Author

Listed:
  • Carlos Alós-Ferrer

    (University of Cologne)

  • Klaus Ritzberger

    (Institute for Advanced Studies)

Abstract

This chapter introduces the first milestone in the development of a general theory of extensive form games—extensive decision problems (EDPs)—by adding to the objective description a subjective layer that specifies who can do what and when, under which constraints. It is shown that in an EDP every play can be selected by appropriate choices on the part of the players. The restrictions on the game tree are identified that arise if an EDP can be defined on the tree. This inquiry leads to important properties of game trees: weak up-discreteness, coherence, and regularity. In particular, the first property is sufficient for an EDP to be definable on the game tree.

Suggested Citation

  • Carlos Alós-Ferrer & Klaus Ritzberger, 2016. "Extensive Decision Problems," Springer Series in Game Theory, in: The Theory of Extensive Form Games, chapter 4, pages 67-97, Springer.
    • Handle: RePEc:spr:spschp:978-3-662-49944-3_4
    DOI: 10.1007/978-3-662-49944-3_4
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