Graphical Languages for Preference ... - Sylvain Bouveret

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Logical and bidding languagesOutline1 Languages for compact preference representation2 Logical and bidding languagesPropositional logicBidding languages3 Graphical languages for ordinal preferencesAn introduction to graphical languagesPreferential independenceCP-netsOutcome optimisation with CP-netsCP-nets: extensions and variants4 Graphical languages for cardinal preferencesAdditivity generalizedSome other languages5 Collective decision makingVotingMultiAgent Resource Allocation6 ConclusionGraphical Languages for Preference Representation and Applications23 / 112
Logical and bidding languages – Propositional logicBinary variablesParticular case: binary variables → D i = {⊤,⊥} for all i.Can be used to represent subsets of elements.Graphical Languages for Preference Representation and Applications24 / 112
Page 1 and 2: Graphical Languages for Preference
Page 3 and 4: Introduction to compact preference
Page 23 and 24: Languages for compact preference re
Page 37: Languages for compact preference re
Page 41 and 42: Logical and bidding languages - Pro
Page 61: Logical and bidding languages - Bid
Page 64 and 65: Logical and bidding languages - Bid
Page 76 and 77: Graphical languages for ordinal pre
Page 84 and 85: dsc 1 ≻ nsc 1 ; dsc 2 ≻ nsc 2 ;
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N ̸ d¯sc 1 ≻ n¯sc 2 and N ̸ n
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Graphical languages for ordinal pre
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Graphical languages for cardinal pr
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a utility ratio function w(x M |x K
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Collective decision makingOutline1
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Collective decision making - Voting
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Collective decision making - MultiA
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monotonic: π ⊆ π ′ ⇒ π ≼
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ConclusionConclusionGraphical langu
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Bouveret, S. and Lang, J. (2008).Ef
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Gonzales, C., Perny, P., and Queiro
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Bell Journal of Economics, pages 40
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Graphical Languages for Preference ... - Sylvain Bouveret

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