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.

Sprache
Englisch

Erschienen in
Series: Research Report ; No. 2012-2

Klassifikation
Wirtschaft
Noncooperative Games
Thema
game tree
set tree
extensive-form game

Ereignis
Geistige Schöpfung
(wer)
Streufert, Peter A.
Ereignis
Veröffentlichung
(wer)
The University of Western Ontario, Department of Economics
(wo)
London (Ontario)
(wann)
2012

Handle
Letzte Aktualisierung
10.03.2025, 11:44 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Streufert, Peter A.
  • The University of Western Ontario, Department of Economics

Entstanden

  • 2012

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