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Welfare Economics and Second-Best Theory: A Distortion-Analysis Protocol for Economic-Efficiency Prediction PDF

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Richard S. Markovits Welfare Economics and Second-Best Theory A Distortion-Analysis Protocol for Economic-Efficiency Prediction Welfare Economics and Second-Best Theory Richard S. Markovits Welfare Economics and Second-Best Theory A Distortion-Analysis Protocol for Economic-Efficiency Prediction 123 Richard S.Markovits University of Texas Schoolof Law Austin, TX,USA ISBN978-3-030-43359-8 ISBN978-3-030-43360-4 (eBook) https://doi.org/10.1007/978-3-030-43360-4 ©SpringerNatureSwitzerlandAG2020 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained hereinorforanyerrorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregard tojurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland Appreciation IthankmywifeandcolleagueIngaMarkovitsandourfivechildren—Daniel,Stefanie, Benjamin, Julia, and Rebecca—for making it easy to keep what follows in an appropriateperspective.IalsothankmypersonalassistantSallyZaleskibothforher friendliness, patience, and diligence and for the vision, intelligence, diagrammatic abilities,and(Iadmit)cartographicskillsthatenabledhertoconvertacomplicated, difficult,andhard-to-deciphermanuscriptintoapublishabledocument. v Contents 1 Introduction to The General Theory of Second Best, Its Central Implications, and the Appropriate Way to Respond to It . . . . . . . . 1 1.1 The Conclusion and Basic Rationale of The General Theory of Second Best. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 TheReasonWhyTheGeneralTheoryofSecondBestHasSuch Important Implications for the Protocol for Predicting/Post- dicting the Economic Efficiency of a Choice that Is Ex Ante Economically Efficient . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 The Negative Economic-Efficiency-Conclusion-Related Implications of The General Theory of Second Best. . . . . . . . . . 5 1.4 The Protocol for Economic-Efficiency Analysis that Responds ExAnteEconomicEfficientlytoTheGeneralTheoryofSecond Best: A Somewhat-Detailed but Far-From-Comprehensive Account. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.4.1 10 Concepts or Sets of Related Concepts that Play an Important Role in the Protocol for Economic-Efficiency Prediction/Post-dictionIClaimIsExAnteEconomically Efficient . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.4.2 The Protocol for Determining Whether It Would Be ExAnteEconomicallyEfficient(TBLE)toExecuteAny Task that Could Inform One’s Assessment of the Economic Efficiency of a Choice . . . . . . . . . . . . . . . . . . 13 1.4.3 16 Categories of Resource Allocations (and Related Categories of Economic Inefficiency) . . . . . . . . . . . . . . . 14 1.4.4 A Somewhat-Detailed but Far-From-Comprehensive Account of the Protocol for Predicting/Post-dicting the Economic Efficiency of a Choice that I believe Is TBLE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2 The Economics Profession’s Responses to The General Theory of Second Best: Descriptions and Critiques. . . . . . . . . . . . . . . . . . . 35 2.1 The Theoretical-Welfare-Economics Literature that Does Address The General Theory of Second Best . . . . . . . . . . . . . . . 36 vii viii Contents 2.2 The Failure of the Bulk of Applied-Welfare-Economics Scholarship to Respond Ex Ante Economic-Efficiently to The General Theory of Second Best . . . . . . . . . . . . . . . . . . . 57 2.3 The Failure of Undergraduate and Graduate Textbooks on Theoretical and Applied Welfare Economics to Respond Appropriately to The General Theory of Second Best. . . . . . . . . 69 2.4 The Inadequacy of the Arguments that Various Economists Have Made to Justify Ignoring The General Theory of Second Best. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 2.5 Some Personal Anecdotes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 2.6 The Reasons Why Economists Have Resisted The General Theory of Second Best . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 3 The Concept of the Impact of a Choice (or Natural Event) on Economic Efficiency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 3.1 The “Correct” Definition of “The Impact of a Choice on Economic Efficiency”. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 3.2 The Alternative Definitions of “The Impact of a Choice onEconomicEfficiency”thatOtherEconomistsHaveProposed and Used and Why These Alternatives Are Either Useless or Inaccurate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 4 “First-Best,” “Second-Best,” and “Third-Best”: Definitions, Elaborations, and Other Economists’ Usages . . . . . . . . . . . . . . . . . 109 4.1 First-Best-Allocatively-Efficient (FBLE) Economic-Efficiency- Analysis Protocols, FBLE Concrete Economic-Efficiency Analyses, and the FBLE Magnitude of Any Pareto Imperfection. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 4.2 Second-Best-Allocatively-Efficient (SBLE) Economic- Efficiency-Analysis Protocols, SBLE Concrete Economic- Efficiency Analyses, and the SBLE Magnitude of Any Pareto Imperfection. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 4.3 Third-Best-Allocatively-Efficient(TBLE)Economic-Efficiency- Analysis Protocols, TBLE Concrete Economic-Efficiency Analyses, and the TBLE Magnitude of Any Pareto Imperfection. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 4.4 The Differences Between My Use of the Expressions “First-Best,” “Second-Best,” and “Third-Best” and the Ways in Which These Expressions Are Used by Other Economists—In Particular, by Y.-K. Ng and Richard Lipsey. . . . 114 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116 Contents ix 5 The Symbols for Various Pareto Imperfections, Private and Allocative Concepts, Categories of Resource-Uses, and Categories of Resource Allocations . . . . . . . . . . . . . . . . . . . . . 117 5.1 The Symbols I Use to Reference, Respectively, Each Type of Pareto Imperfections. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 5.2 The Symbols I Use to Reference, Respectively, the Private- Benefit, Private-Cost, (Private) Profit, Allocative-Benefit, Allocative-Cost, and Allocative-Efficiency Figures Associated with a Specified Resource-Use or Resource Allocation . . . . . . . . 119 5.3 The Symbols I Use to Reference, Respectively, Three Functional Categories of Resource-Uses. . . . . . . . . . . . . . . . . . . 120 5.4 The Symbols I Use to Reference, Respectively, Six Functional Categories of Resource Allocations . . . . . . . . . . . . . . . . . . . . . . 121 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124 6 The Vocabulary and Symbols of Distortion Analysis . . . . . . . . . . . 125 6.1 The “Distortion Analysis” Definitions of “a Distortion,” “the Aggregate Distortion,” or “the Aggregate Percentage- Distortion” in a Relevant Private-Benefit, Private-Cost, or (Private-) Profit Figure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 6.1.1 The Distortion in a Private-Benefit, Private-Cost, or (Private-) Profit Figure. . . . . . . . . . . . . . . . . . . . . . . . 126 6.1.2 The Aggregate Distortion in Any Private-Benefit, Private-Cost, or (Private-) Profit Figure. . . . . . . . . . . . . . 126 6.1.3 The Aggregate Percentage-Distortion in Any Private- Benefit, Private-Cost, or (Private-) Profit Figure. . . . . . . . 127 6.2 The Three Basic Categories of Profit-Distortion Formulas that This Study References and Their Various Subcategories . . . . . . . 127 6.2.1 Conventional, Otherwise-Pareto-Perfect (oPp) Profit-Distortion Formulas . . . . . . . . . . . . . . . . . . . . . . . 127 6.2.2 The Onesy Formula for the Aggregate Distortion in the Profits Yielded by a Resource Allocation—i.e., for the Distortion in Those Profits Generated by All Exemplars the Relevant Economy Contains of All Seven Types of Pareto Imperfections—(1E)RD(Pp…/…). . . . . . . . . . . . . . 129 6.2.3 The Step-Wise-Distortion Formula for the Distortion that All Exemplars of All Seven Types of Pareto Imperfections Will Generate in the Profits Yielded by a Specified Resource Allocation—(SW)RD(Pp…/…). . . . . 130 6.3 The Symbols that Reference Various Distortion-Concepts. . . . . . 131 6.3.1 The Symbol for the Aggregate Distortion in Some To-Be-Specified Private Figure Associated with a To-Be-SpecifiedMarginalorNon-MarginalAllocation— RD(P…(…)D…/(…)D…)orRD(P…(…)…/(…)…)............ 131 x Contents 6.3.2 The Symbols for the Conventional oPp Distortions that All Exemplars of One-to-Six Types of Pareto Imperfections Would Generate in a To-Be-Specified or Specified Private Figure Associated with a To-Be-Specified or Specified Resource Allocation (in an Otherwise-Pareto-Perfect Economy) . . . . . . . . . . . 134 6.3.3 The Symbol for the Onesy Formula for the Aggregate Distortion in the Profits Yielded by Any Specified or To-Be-Specified Economics-Marginal or Economics- Non-Marginal Resource Allocation . . . . . . . . . . . . . . . . . 135 6.3.4 The Symbols for the Individual-Pareto-Imperfection- Oriented Step-Wise Distortion in a Specified or To-Be- Specified Private Figure Associated with a Specified or To-Be-Specified Economics-Marginal or Economics- Non-MarginalResourceAllocationtoaTo-Be-Specified or Specified ARDEPPS . . . . . . . . . . . . . . . . . . . . . . . . . 135 6.3.5 The Symbol for the Step-Wise-Distortion Formula for an Aggregate Distortion in a Specified or To-Be-Specified Private Figure Associated with a Specified or To-Be-Specified Economics-Marginal or Economics-Non-Marginal Resource Allocation . . . . . . 136 6.4 An Illustration of the Onesy Formula for the Aggregate Distortion in the Profits Yielded by Any Resource Allocation . . . 136 6.5 An Illustration of the Step-Wise-Distortion Formula for the Aggregate Distortion in the Profits Yielded by a Particular Resource Allocation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140 6.6 The Ways in Which the (1E) and (SW)D Formulas for the AggregateDistortionintheProfitsthatWouldBeYieldedbyan Economics-Marginal UO-to-UO Resource Allocation Will HavetoBeAlteredWhenthatAllocationIsfromtheProduction ofJust-Extra-MarginalUnitsofTwoorMoreProductsY1…nto theProductionofaMarginalUnitofOneProduct(X)andWhen Both Y1…n and X Have Complements (Respectively, YC and XC) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 6.6.1 TheRevisioninthe1EFormulaandthe(SW)DFormula for the Aggregate Distortion in the Profits Yielded by a UO-to-UO Resource Allocation to the Production of Product X When that Allocation Involves the Withdrawal of Resources from the Production of Just- Extra-Marginal Units ofaSetofProducts Y1…n Rather Than from the Production of Just-Extra-Marginal Units of a Single Product Y. . . . . . . . . . . . . . . . . . . . . . . . . . . 149 Contents xi 6.6.2 The Revisions in the 1E Formula and the (SW)D Formula for the Aggregate Distortion in the Profits YieldedbyaUO-to-UOResourceAllocationWhenthat Allocation Involves the Withdrawal of Resources from the Production of Just-Extra-Marginal Units of One or More Goods and Their Complement(s) and Their Devotion to the Production of a Marginal Unit of Another Good and Its Complement(s). . . . . . . . . . . . . 150 6.7 The Relative Economic Efficiency of Using 1E and (SW)D FormulasfortheAggregateDistortionintheProfitsYieldedby Any Resource Allocation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150 Reference. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 7 Analyses of Various Step-Wise-Monopoly Distortions. . . . . . . . . . . 153 7.1 The Step-Wise-Monopoly Distortion in PB , PB , (U)UO (U)QV and PB . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154 (U)PPR 7.1.1 The Step-Wise Imperfections-in-Seller-Price- Competition-Generated Monopoly Distortions in PB , PB , and PB . . . . . . . . . . . . . . . . . 154 (U)UO (U)QV (U)PPR 7.1.2 The Step-Wise Imperfections-in-QV-Investment- Competition-Generated and Step-Wise Imperfections- in-PPR-Competition-Generated Monopoly Distortions in PB and PB . . . . . . . . . . . . . . . . . . . . . . . . 173 (U)QV (U)PPR 7.1.3 The Step-Wise-Monopoly Distortion that Imperfections inSellerPrice-CompetitionandInvestment-Competition Generate in the Profits Yielded by Some QV Investments and Some PPR Projects by Leading Governments to Classify Some Firms that Face Such Seller-Competition Imperfections to Be Public Utilities and to Subject the Pricing of the Products Such Firms Allegedly “Monopolize” to “Fair-Rate-of-Return” Pricing-Regulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 7.2 The Step-Wise-Monopoly Distortion in the Profits Yielded by Various Categories of Economics-Marginal Resource Allocations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185 7.2.1 The Step-Wise-Monopoly Distortion in the Profits Yielded by Resource Allocations from Specifiable UO-Producing-and Consuming, QV-Investment- Creating-and-Using, and PPR-Executing-and-Using Pairs of Resource-Uses to Individual Specifiable Pairs ofEconomics-MarginalUO-Producing-andConsuming, QV-Creating-and-Using, or PPR-Executing-and Using Resource-Uses. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 186

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