Specifying a game-theoretic extensive form as an abstract 5-ary relation

Arbeitspapier

This paper specifies an extensive form as a 5-ary relation (i.e. set of quintuples) which satisfies certain abstract axioms. Each quintuple is understood to list a player, a situation (e.g. information set), a decision node, an action, and a successor node. Accordingly, the axioms are understood to specify abstract relationships between players, situations, nodes, and actions. Such an extensive form is called a "5-form", and a "5-form game" is defined to be a 5-form together with utility functions. The paper's main result is to construct a bijection between (a) those 5-form games with information-set situations and (b) Gm games (Streufert 2021). In this sense, 5-form games equivalently formulate almost all extensive-form games. An application weakens the tree axiom in the presence of the other axioms, which leads to a convenient decomposition of 5-forms.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Research Report ; No. 2021-3

Classification and Topics

• Classification: Wirtschaft ; Stochastic and Dynamic Games; Evolutionary Games; Repeated Games
• Subject: Situation ; extensive-form game

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Streufert, Peter Alfred
• Event: Veröffentlichung
• (who): The University of Western Ontario, Department of Economics
• (where): London (Ontario)
• (when): 2021

Further information

• Handle: http://hdl.handle.net/10419/261274
• Last update: 10.03.2025, 11:44 AM CET