The Category of Node-and-Choice Preforms for Extensive-Form Games

Peter Streufert

No 20162, University of Western Ontario, Departmental Research Report Series from University of Western Ontario, Department of Economics

Abstract: It would be useful to have a category of extensive-form games whose isomorphisms specify equivalences between games. Since working with entire games is too large a project for a single paper, I begin here with preforms, where a “preform” is a rooted tree together with choices and information sets. My first contribution is to introduce a compact preform specification called a “node-and-choice” preform. This specification’s compactness allows me to introduce tractable morphisms which map one node-and-choice preform to another. I incorporate these morphisms into a category called the “category of node-and-choice preforms”. Finally, I characterize the isomorphisms of this category.

Date: 2016
New Economics Papers: this item is included in nep-gth, nep-mic and nep-sog
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