It is argued that when morphisms are ignored virtually all coalitional, strategic and extensive game formats as currently employed in the extant game-theoretic literature may be presented in a fairly natural way as (concrete categories over) discrete sub-categories of Chu(Set,2). Moreover, under a suitable choice of coalitional morphisms, coalitional game formats are shown to be (concrete categories over) full subcategories of Chu(Set,2). © World Scientific Publishing Company.
Vannucci, S. (2007). Game Formats as Chu Spaces. INTERNATIONAL GAME THEORY REVIEW, 9(1), 119-138 [10.1142/S021919890700131X].
Game Formats as Chu Spaces
Vannucci, Stefano
2007-01-01
Abstract
It is argued that when morphisms are ignored virtually all coalitional, strategic and extensive game formats as currently employed in the extant game-theoretic literature may be presented in a fairly natural way as (concrete categories over) discrete sub-categories of Chu(Set,2). Moreover, under a suitable choice of coalitional morphisms, coalitional game formats are shown to be (concrete categories over) full subcategories of Chu(Set,2). © World Scientific Publishing Company.
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https://hdl.handle.net/11365/404443
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