Utility of gambling under p(olynomial)-additive joint receipt and segregation or duplex decomposition

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dc.contributor.author Marley, AA
dc.contributor.author NC, T
dc.contributor.author Luce, RD
dc.date.accessioned 2012-02-02T04:16:00Z
dc.date.issued 2009-01
dc.identifier.citation Journal of Mathematical Psychology, 2009, 53 (4), pp. 273 - 286
dc.identifier.issn 0022-2496
dc.identifier.other C1UNSUBMIT en_US
dc.identifier.uri http://hdl.handle.net/10453/14506
dc.description.abstract This article continues our exploration of the utility of gambling, but here under the assumption of a non-additive but p(olynomial)-additive representation of joint receipt. That assumption causes the utility of gambling term to have a multiplicative impact, rather than just an additive one, on what amounts to ordinary weighted utility. Assuming the two rational recursions known as branching and upper gamble decomposition, we investigate separately the rational property of segregation and the non-rational one of duplex decomposition. Under segregation, we show that each pair of disjoint events either exhibits weight complementarity or both support no utility of gambling, a property called UofG-singular. We develop representations for both cases. The former representation is a simple weighted utility with each term multiplied by a function of the event underlying that branch. The latter representation is an ordinary rank-dependent utility with Choquet weights but with no utility of gambling. Under duplex decomposition, we show that weights have the intuitively unacceptable property that there is essentially no dependence upon the events, making duplex decomposition, in this context, of little behavioral interest
dc.publisher Elsevier
dc.relation.isbasedon 10.1016/j.jmp.2009.04.001
dc.title Utility of gambling under p(olynomial)-additive joint receipt and segregation or duplex decomposition
dc.type Journal Article
dc.parent Journal of Mathematical Psychology
dc.journal.volume 4
dc.journal.volume 53
dc.journal.number 4 en_US
dc.publocation Orlando, USA en_US
dc.identifier.startpage 273 en_US
dc.identifier.endpage 286 en_US
dc.cauo.name BUS.Faculty of Business en_US
dc.conference Verified OK en_US
dc.for 0102 Applied Mathematics
dc.personcode 102475
dc.percentage 100 en_US
dc.classification.name Applied Mathematics en_US
dc.classification.type FOR-08 en_US
dc.edition en_US
dc.custom en_US
dc.date.activity en_US
dc.location.activity en_US
dc.description.keywords Duplex decomposition; Branching; p-additive utility; Segregation; Rank-dependent utility; Gamble decomposition; UofG-singular; Utility of gambling en_US
dc.description.keywords cs.NI
dc.description.keywords cs.NI
dc.description.keywords cs.CR
dc.description.keywords Duplex decomposition
dc.description.keywords Duplex decomposition
dc.description.keywords Branching
dc.description.keywords Branching
dc.description.keywords p-additive utility
dc.description.keywords p-additive utility
dc.description.keywords Segregation
dc.description.keywords Segregation
dc.description.keywords Rank-dependent utility
dc.description.keywords Rank-dependent utility
dc.description.keywords Gamble decomposition
dc.description.keywords Gamble decomposition
dc.description.keywords UofG-singular
dc.description.keywords UofG-singular
dc.description.keywords Utility of gambling
dc.description.keywords Utility of gambling
dc.description.keywords Duplex decomposition
dc.description.keywords Branching
dc.description.keywords p-additive utility
dc.description.keywords Segregation
dc.description.keywords Rank-dependent utility
dc.description.keywords Gamble decomposition
dc.description.keywords UofG-singular
dc.description.keywords Utility of gambling
dc.description.keywords Duplex decomposition
dc.description.keywords Branching
dc.description.keywords p-additive utility
dc.description.keywords Segregation
dc.description.keywords Rank-dependent utility
dc.description.keywords Gamble decomposition
dc.description.keywords UofG-singular
dc.description.keywords Utility of gambling
pubs.embargo.period Not known
pubs.organisational-group /University of Technology Sydney
pubs.organisational-group /University of Technology Sydney/Faculty of Business
pubs.organisational-group /University of Technology Sydney/Strength - Study of Choice


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