Backward Induction in Games without Perfect Recall

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dc.contributor.author Hillas, John en
dc.contributor.author Kvasov, D en
dc.date.accessioned 2018-10-11T01:26:30Z en
dc.date.issued 2017 en
dc.identifier.uri http://hdl.handle.net/2292/40709 en
dc.description.abstract The equilibrium concepts that we now think of as various forms of backwards induction, namely subgame perfect equilibrium (Selten, 1965), perfect equilibrium (Selten, 1975), sequential equilibrium (Kreps and Wilson, 1982), and quasi-perfect equilibrium (van Damme, 1984), are explicitly restricted their analysis to games with perfect recall. In spite of this the concepts are well defined, exactly as they defined them, even in games without perfect recall. There is now a small literature examining the behaviour of these concepts in games without perfect recall. We argue that in games without perfect recall the original definitions are inappropriate. Our reading of the original papers is that the authors were aware that their definitions did not require the assumption of perfect recall but they were also aware that without the assumption of perfect recall the definitions they gave were not the ``correct'' ones. We give definitions of two of these concepts, sequential equilibrium and quasi-perfect equilibrium, that identify the same equilibria in games with perfect recall and behave well in games without perfect recall. en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.title Backward Induction in Games without Perfect Recall en
dc.type Report en
dc.rights.holder Copyright: The author en
dc.rights.accessrights http://purl.org/eprint/accessRights/RestrictedAccess en
pubs.elements-id 706813 en
pubs.org-id Business and Economics en
pubs.org-id Economics en
pubs.record-created-at-source-date 2017-11-06 en


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