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Pseudotrees and Order Theory

In: The Theory of Extensive Form Games

Author

Listed:
  • Carlos Alós-Ferrer

    (University of Cologne)

  • Klaus Ritzberger

    (Institute for Advanced Studies)

Abstract

This chapter is a brief digression into related concepts from order theory. In particular, the order-theoretic concept of a pseudotree is related to consistent and directed subsets, to complete partially ordered sets (CPOs), and to meet-semilattices. The insight for the general theme of the book concerns set representations again: If one does not insist on decision trees, there is still a canonical set representation, though not by plays, but by plays together with extensible chains.

Suggested Citation

  • Carlos Alós-Ferrer & Klaus Ritzberger, 2016. "Pseudotrees and Order Theory," Springer Series in Game Theory, in: The Theory of Extensive Form Games, chapter 3, pages 57-66, Springer.
    • Handle: RePEc:spr:spschp:978-3-662-49944-3_3
    DOI: 10.1007/978-3-662-49944-3_3
    as

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