IDEAS home Printed from https://ideas.repec.org/h/spr/prochp/978-3-031-86946-4_3.html
   My bibliography  Save this book chapter

Simulation Models: The Combinatory Automaton

In: The Combinatory Systems Theory

Author

Listed:
  • Piero Mella

    (University of Pavia)

Abstract

The chapter introduces the concept of Combinatory Automaton, a tool for simulating, mainly in probabilistic terms, the different classes of combinatory systems. Combinatory Automata models offer a simulation of the dynamics of combinatory systems in terms of the dynamics, expressed in probability terms, of the state of the system and the state of the individual elements. A Combinatory Automaton is composed of a matrix, each of whose cells contains a variable representing the state of an agent. The value of each cell at time th depends on a synthetic global variable whose values derive from some “combination” operation carried out on the values of the cells in successive iterations; the synthetic global variable represents the synthetic state of the automaton. The micro-macro feedback operating in successive moments for a certain period connects the analytical values of the cells and the synthetic state of the automaton. This chapter seeks to demonstrate, through simple examples, that combinatory systems represent a wide range of behaviors of collectivities and that Combinatory Automata are a powerful tool for simulating the most relevant combinatory systems.

Suggested Citation

  • Piero Mella, 2025. "Simulation Models: The Combinatory Automaton," Progress in IS, in: The Combinatory Systems Theory, edition 0, chapter 0, pages 221-314, Springer.
    • Handle: RePEc:spr:prochp:978-3-031-86946-4_3
    DOI: 10.1007/978-3-031-86946-4_3
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    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:spr:prochp:978-3-031-86946-4_3. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.