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

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dc.contributor.author Marley, Anthony en_US
dc.contributor.author T, Ng en_US
dc.contributor.author Luce, R en_US
dc.contributor.editor en_US
dc.date.accessioned 2012-02-02T04:16:00Z
dc.date.available 2012-02-02T04:16:00Z
dc.date.issued 2009 en_US
dc.identifier 2010000392 en_US
dc.identifier.citation Marley Anthony, T Ng, and Luce R 2009, 'Utility of gambling under p(olynomial)-additive joint receipt and segregation or duplex decomposition', Elsevier, vol. 53, no. 4, pp. 273-286. en_US
dc.identifier.issn 0022-2496 en_US
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 en_US
dc.language en_US
dc.publisher Elsevier en_US
dc.relation.isbasedon http://dx.doi.org/10.1016/j.jmp.2009.04.001 en_US
dc.title Utility of gambling under p(olynomial)-additive joint receipt and segregation or duplex decomposition en_US
dc.parent Journal of Mathematical Psychology en_US
dc.journal.volume 53 en_US
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 010200 en_US
dc.personcode 102475 en_US
dc.personcode 0000065097 en_US
dc.personcode 0000065143 en_US
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

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