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Deliberating between Backward and Forward Induction Reasoning: First Steps


Knoks, Aleks; Pacuit, Eric (2015). Deliberating between Backward and Forward Induction Reasoning: First Steps. In: Proceedings of the 15th Conference on Theoretical Aspects of Rationality and Knowledge, Pittsburgh, PA, USA, 4 June 2015 - 6 June 2015, 153-61.

Abstract

Backward and forward induction can be viewed as two styles of reasoning in dynamic games. Since each prescribes taking
a different attitude towards the past moves of the other player(s), the strategies they identify as rational are sometimes
incompatible. Our goal is to study players who are able to deliberate between backward and forward induction, as
well as conditions under which one is superior to the other. This extended abstract is our first step towards this goal.We
present an extension of Stalnaker's game models [34, 35], in which the players can make \trembling hand"mistakes. This
means that when a player observes an unexpected move, she has to figure out whether it is a result of a deliberate choice
or a mistake, thereby committing herself to one of the two styles of reasoning.

Abstract

Backward and forward induction can be viewed as two styles of reasoning in dynamic games. Since each prescribes taking
a different attitude towards the past moves of the other player(s), the strategies they identify as rational are sometimes
incompatible. Our goal is to study players who are able to deliberate between backward and forward induction, as
well as conditions under which one is superior to the other. This extended abstract is our first step towards this goal.We
present an extension of Stalnaker's game models [34, 35], in which the players can make \trembling hand"mistakes. This
means that when a player observes an unexpected move, she has to figure out whether it is a result of a deliberate choice
or a mistake, thereby committing herself to one of the two styles of reasoning.

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Additional indexing

Item Type:Conference or Workshop Item (Paper), refereed, original work
Communities & Collections:06 Faculty of Arts > Institute of Philosophy
Dewey Decimal Classification:100 Philosophy
Language:English
Event End Date:6 June 2015
Deposited On:14 Sep 2020 10:36
Last Modified:14 Sep 2020 10:38
Publisher:IMSC
ISBN:978-0-692-46138-9
OA Status:Green
Free access at:Official URL. An embargo period may apply.
Official URL:https://www.imsc.res.in/tark/TARK2015-proceedings.pdf

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