Arbeitspapier
The category of node-and-choice forms, with subcategories for choice-sequence forms and choice-set forms
The literature specifies extensive-form games in several styles, and eventually I hope to formally translate games across those styles. Toward that end, this paper defines NCF, the category of node-and-choice forms. The category's objects are game forms in any style, and the category's isomorphisms are made to accord with the literature's small handful of ad hoc style equivalences. More specifically, the paper develops two full subcategories: CsqF for forms whose nodes are choice-sequences, and CsetF for forms whose nodes are choice-sets. I show that NCF is "isomorphically enclosed" in CsqF in the sense that each NCF form is isomorphic to a CsqF form. Similarly, I show that CsqFa is isomorphically enclosed in CsetF in the sense that each CsqF form with no-absentmindedness is isomorphic to a CsetF form. The converses are found to be almost immediate, and the resulting equivalences unify and simplify two ad hoc style equivalences in Kline and Luckraz 2016 and Streufert 2018a. Aside from the larger agenda, this paper makes three practical contributions. Style equivalences are made easier to derive by [1] a natural concept of isomorphic invariance and [2] the composability of isomorphic enclosures. In addition, [3] some new consequences of equivalence are systematically deduced.
- Language
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Englisch
- Bibliographic citation
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Series: Research Report ; No. 2018-6
- Classification
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Wirtschaft
Stochastic and Dynamic Games; Evolutionary Games; Repeated Games
- Subject
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extensive form
game form
isomorphic enclosure
- Event
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Geistige Schöpfung
- (who)
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Streufert, Peter Alfred
- Event
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Veröffentlichung
- (who)
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The University of Western Ontario, Department of Economics
- (where)
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London (Ontario)
- (when)
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2018
- Handle
- Last update
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10.03.2025, 11:41 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Streufert, Peter Alfred
- The University of Western Ontario, Department of Economics
Time of origin
- 2018
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Teaching as a moral choice category
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The category of node-and-choice preforms for extensive-form games
Choice-set forms are dual to outcome-set forms
Teaching as a moral choice category
Teaching as a moral choice category
Choice of enterprise form: Spain, 1886-1936
Sectoral Labor Supply, Choice Restrictions and Functional Form
Sectoral labor supply, choice restrictions and functional form
Quality, reputation and the choice of organizational form
Intertemporal Discrete Choice, Random Tastes and Functional Form