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We show that every indeterministic n-agent choice model Mi can be transformed into a deterministic n-agent choice model Md, such that Mi is a bounded morphic image of Md. This generalizes an earlier result from Van Benthem and Pacuit about finite two-player choice models. It further strengthens the link between STIT logic and game theory, because deterministic choice models correspond in a straightforward way to normal game forms, and choice models are generally used to interpret STIT logic.

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MLA
Van De Putte, Frederik, et al. “Doing without Nature.” Logic, Rationality, and Interaction, edited by Alexandru Baltag et al., vol. 10455, Springer, 2017, pp. 209–23, doi:10.1007/978-3-662-55665-8_15.
APA
Van De Putte, F., Tamminga, A., & Duijf, H. (2017). Doing without nature. In A. Baltag, J. Seligman, & T. Yamada (Eds.), Logic, rationality, and interaction (Vol. 10455, pp. 209–223). https://doi.org/10.1007/978-3-662-55665-8_15
Chicago author-date
Van De Putte, Frederik, Allard Tamminga, and Hein Duijf. 2017. “Doing without Nature.” In Logic, Rationality, and Interaction, edited by Alexandru Baltag, Jeremy Seligman, and Tomoyuki Yamada, 10455:209–23. Springer. https://doi.org/10.1007/978-3-662-55665-8_15.
Chicago author-date (all authors)
Van De Putte, Frederik, Allard Tamminga, and Hein Duijf. 2017. “Doing without Nature.” In Logic, Rationality, and Interaction, ed by. Alexandru Baltag, Jeremy Seligman, and Tomoyuki Yamada, 10455:209–223. Springer. doi:10.1007/978-3-662-55665-8_15.
Vancouver
1.
Van De Putte F, Tamminga A, Duijf H. Doing without nature. In: Baltag A, Seligman J, Yamada T, editors. Logic, rationality, and interaction. Springer; 2017. p. 209–23.
IEEE
[1]
F. Van De Putte, A. Tamminga, and H. Duijf, “Doing without nature,” in Logic, rationality, and interaction, Sapporo, Japan, 2017, vol. 10455, pp. 209–223.
@inproceedings{8538077,
  abstract     = {{We show that every indeterministic n-agent choice model Mi can be transformed into a deterministic n-agent choice model Md, such that Mi is a bounded morphic image of Md. This generalizes an earlier result from Van Benthem and Pacuit about finite two-player choice models. It further strengthens the link between STIT logic and game theory, because deterministic choice models correspond in a straightforward way to normal game forms, and choice models are generally used to interpret STIT logic.}},
  author       = {{Van De Putte, Frederik and Tamminga, Allard and Duijf, Hein}},
  booktitle    = {{Logic, rationality, and interaction}},
  editor       = {{Baltag, Alexandru and Seligman, Jeremy and Yamada, Tomoyuki}},
  isbn         = {{9783662556641}},
  issn         = {{0302-9743}},
  language     = {{eng}},
  location     = {{Sapporo, Japan}},
  pages        = {{209--223}},
  publisher    = {{Springer}},
  title        = {{Doing without nature}},
  url          = {{http://doi.org/10.1007/978-3-662-55665-8_15}},
  volume       = {{10455}},
  year         = {{2017}},
}

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