Arbeitspapier

Prudent Rationalizability in Generalized Extensive-Form Games with Unawareness

We define a cautious version of extensive-form rationalizability for generalized extensive-form games with unawareness that we call prudent rationalizability. It is an extensive-form analogue of iterated admissibility. In each round of the procedure, for each tree and each information set of a player a surviving strategy of hers is required to be rational vis-a-vis a belief system with a full-support belief on the opponents' previously surviving strategies that reach that information set. We demonstrate the applicability of prudent rationalizability. In games of disclosure of verifiable information, we show that prudent rationalizability yields unraveling under full awareness but unraveling might fail under unawareness. We compare prudent rationalizability to extensive-form rationalizability. We show that prudent rationalizability may not refine extensive-form rationalizability strategies but conjecture that the paths induced by prudent rationalizable strategy profiles (weakly) refine the set of paths induced by extensive-form rationalizable strategies.

Language
Englisch

Bibliographic citation
Series: Working Paper ; No. 332

Classification
Wirtschaft
Noncooperative Games
Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
Subject
Caution
extensive-form rationalizability
unawareness
disclosure
verifiable information
persuasion games
iterated admissibility
common strong cautious belief in rationality

Event
Geistige Schöpfung
(who)
Heifetz, Aviad
Meier, Martin
Schipper, Burkhard
Event
Veröffentlichung
(who)
University of California, Department of Economics
(where)
Davis, CA
(when)
2019

Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Heifetz, Aviad
  • Meier, Martin
  • Schipper, Burkhard
  • University of California, Department of Economics

Time of origin

  • 2019

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