Arbeitspapier
Specifying nodes as sets of actions
The nodes of an extensive-form game are commonly specified as sequences of actions. Rubinstein calls such nodes histories. We find that this sequential notation is superfluous in the sense that nodes can also be specified as sets of actions. The only cost of doing so is to rule out games with absent-minded agents. Our set-theoretic analysis accommodates general finite-horizon games with arbitrarily large action spaces and arbitrarily configured information sets. One application is Streufert (2012), which specifies nodes as sets in order to formulate and prove new results about Kreps-Wilson consistency.
- Language
-
Englisch
- Bibliographic citation
-
Series: Research Report ; No. 2012-2
- Classification
-
Wirtschaft
Noncooperative Games
- Subject
-
game tree
set tree
extensive-form game
- Event
-
Geistige Schöpfung
- (who)
-
Streufert, Peter A.
- Event
-
Veröffentlichung
- (who)
-
The University of Western Ontario, Department of Economics
- (where)
-
London (Ontario)
- (when)
-
2012
- Handle
- Last update
-
10.03.2025, 11:44 AM CET
Data provider
This object is provided by:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the 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 A.
- The University of Western Ontario, Department of Economics
Time of origin
- 2012
Other Objects (12)
Specifying nodes as sets of choices
Equivalences among five game specifications, including a new specification whose nodes are sets of past choices
Measuring the Power of Nodes in Digraphs
Intermodality and the changing role of Nodes in transport networks
The German Socio-Economic Panel as Reference Data Set
Generalization of Binomial Coefficients to Numbers on the Nodes of Graphs
Money and Equilibrium: Two Alternative Nodes Of Coordination Of Economic Activities
The German Socio-Economic Panel as a Reference Data Set
Parental Actions and Siblings Inequality
MCMC confidence sets for identified sets
Macroprudential regulation in the European Union in 1995-2014: Introducing a new data set on policy actions of a macroprudential nature
Monte Carlo confidence sets for identified sets
Specifying nodes as sets of choices
Equivalences among five game specifications, including a new specification whose nodes are sets of past choices
Measuring the Power of Nodes in Digraphs
Intermodality and the changing role of Nodes in transport networks
The German Socio-Economic Panel as Reference Data Set
Generalization of Binomial Coefficients to Numbers on the Nodes of Graphs
Money and Equilibrium: Two Alternative Nodes Of Coordination Of Economic Activities
The German Socio-Economic Panel as a Reference Data Set
Parental Actions and Siblings Inequality
MCMC confidence sets for identified sets
Macroprudential regulation in the European Union in 1995-2014: Introducing a new data set on policy actions of a macroprudential nature
Monte Carlo confidence sets for identified sets
Specifying nodes as sets of choices
Equivalences among five game specifications, including a new specification whose nodes are sets of past choices
Measuring the Power of Nodes in Digraphs
Intermodality and the changing role of Nodes in transport networks
The German Socio-Economic Panel as Reference Data Set
Generalization of Binomial Coefficients to Numbers on the Nodes of Graphs
Money and Equilibrium: Two Alternative Nodes Of Coordination Of Economic Activities
The German Socio-Economic Panel as a Reference Data Set
Parental Actions and Siblings Inequality
MCMC confidence sets for identified sets
Macroprudential regulation in the European Union in 1995-2014: Introducing a new data set on policy actions of a macroprudential nature