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Welfare measurement: aggregate (Cost Benefit Analysis DEC 51304) Z&D 6 R. Jongeneel
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Lecture Plan Aggregation problem Social welfare function Kaldor-Hicks & Potential Pareto Criterion Aggregation of CS and PS Ambiguities BC-A and assignment of rights Human perception of gains and losses
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Aggregation Problem Economic efficiency is consistent with many different utility and income distributions Example 1: Example 2: Example 3: Impossibility of interpersonal utility comparisons
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Aggregation Problem A B C A and B are Pareto non-comparable PP is (grand) utility possibility frontier (UPF)
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Social Welfare Function (SWF) Social choice problem Samuelson-Bergson SWF Change
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Social Welfare Function Denote: marginal utility of h’s income (MU h ) marginal social utility of h (MSU h )
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SWF: efficiency and distribution efficiency term (income effect): distribution term: marginal social utility of h’s income:
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SWF and distribution with interdependent utility (fundamental equation normative analysis)
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Kaldor-Hicks & Potential Pareto Criterion Compensation tests Potential Pareto Improvement Kaldor: The winners from a project could in principal compensate the losers from the project
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Kaldor-Hicks and Potential Pareto Criterion Hicks: the losers of the project could not bribe the winners not to undertake the project Change: PP RR (A B) Kaldor: B > A Hicks: A > B R P C A D B R P
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Kaldor-Hicks and Potential Pareto Criterion By considering hypothetical compensation the focus is on efficiency A Pot.Par. Improvement is not an actual PPI The Com. principles consistently rank any Par. optimal allocation above any allocation that is not Pareto optimal Pareto optimal allocations are simply not comparable Comp. principles cannot completely rank social states
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Is there a way out? Scitovsky: Both the Kaldor and Hicks criteria are met (PPI) Welfare change with Kaldor-Hicks NB: Kaldor-Hicks approach ignores distributional aspects but can account for utility interdependence
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Aggregation of CS and PS Aggregation of EV’s H A+B quantity price P0P0 P1P1 HAHA HBHB A B C
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Aggregation of Consumer Surplus H aggr quantity price P0P0 P1P1 HAHA HBHB A B C
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Aggregation of CV and EV A necessary condition for the (weak) Kaldor compensation test to be passed is A sufficient condition for the (weak) Hicks compensation test to be passed is Aggregate CV and EV measures are best considered as preliminary attempts to rank social states
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Aggregation of Producer Surplus Change P 0 P 1 Ps aggr = A+B+C No aggregation problem on the producer side! quantity price P1P1 P0P0 A B C SASA SBSB S A+B
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Aggregation Example: Airport and Noise I without airport and noise, II with airport and noise
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BC-A and assignment of rights Starting point is determined by assignment of rights If residents right to quiet: CV( I II ) is relevant If airport has right to exist: EV( I II ) is relevant Assignment of property rights can be important in BC-A for cases with big differences between WTP and WTA figures
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Human perception of gains and losses Behavioral economics: loss aversion Endowment effect or status quo-bias Not only rights but also losses from positions people feel themselves entitled to are important
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Human perception of gains and losses UhUh x +dx -dx Loss- aversion effect
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