Q8
(a) If the government raises taxes on labour income and interest income, explain how potential GDP and economic growth are affected. (15 marks) (b) Examine the effects of providing public service by a private agency at a lesser price than earlier one on (i) a closed economy with fixed wages. (ii) a closed economy with flexible wages. (15 marks) (c) What is Buchanan's criticism of Arrow's theorem ? Show how A. K. Sen proved Arrow's theorem without the overall consistency of social choice to avoid the criticism of Buchanan. (8+12 marks)
हिंदी में प्रश्न पढ़ें
(a) यदि सरकार श्रम-आय एवं ब्याज-आय पर कर बढ़ा देती है, तो स्पष्ट कीजिए कि संभाव्य-सकल-घरेलू-उत्पाद एवं आर्थिक-वृद्धि किस प्रकार प्रभावित होंगे । (15 अंक) (b) एक निजी अभिकरण (एजेंसी) के द्वारा पूर्व से कमतर कीमत पर सार्वजनिक-सेवा को उपलब्ध कराने के निम्न पर क्या प्रभाव होंगे, व्याख्या कीजिए । (i) एक बंद अर्थव्यवस्था स्थिर मजदूरी के साथ (ii) एक बंद अर्थव्यवस्था परिवर्तनशील मजदूरी के साथ (15 अंक) (c) ऐरो के सिद्धांत की बुकानन द्वारा की गई आलोचना क्या है ? दर्शाइए कि अ. के. सेन ने किस प्रकार बुकानन की आलोचना से बचने के लिये, सामाजिक-चयन की समग्र-निश्चिता की सहायता के बिना ही ऐरो के सिद्धांत को सिद्ध किया है । (8+12 अंक)
Directive word: Examine
This question asks you to examine. The directive word signals the depth of analysis expected, the structure of your answer, and the weight of evidence you must bring.
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How this answer will be evaluated
Approach
The directive 'examine' requires critical analysis with balanced arguments. Allocate approximately 30% time/words to part (a) on tax effects on potential GDP, 35% to part (b) comparing fixed vs flexible wage scenarios in privatization, and 35% to part (c) on Buchanan's critique and Sen's resolution. Structure with a brief introduction, systematic treatment of each sub-part with clear sub-headings, and a concluding synthesis on efficiency-equity trade-offs in public economics.
Key points expected
- Part (a): Distinction between income effect and substitution effect of labour tax; impact on savings rate via interest income tax; Laffer curve relevance; effect on capital accumulation and long-run growth; distinction between level effect (potential GDP) vs growth rate effect
- Part (b)(i): Fixed wage closed economy — analysis of unemployment creation, output effects, distributional consequences, and rigidity of labour market preventing wage adjustment
- Part (b)(ii): Flexible wage closed economy — wage adjustment mechanism, employment restoration, price-level effects, and efficiency gains from lower-cost provision
- Part (c): Buchanan's critique of Arrow's theorem regarding logical impossibility vs procedural consistency; Buchanan's preference for unanimity/Wicksellian approach; Sen's proof using Pareto extension and acyclicity without full transitivity; Sen's liberal paradox and partial social ordering
- Part (c): Sen's method of dropping full rationality conditions — using quasi-transitivity or acyclic social preference to escape impossibility while preserving meaningful social choice
Evaluation rubric
| Dimension | Weight | Max marks | Excellent | Average | Poor |
|---|---|---|---|---|---|
| Concept correctness | 25% | 12.5 | Precisely distinguishes between level effects and growth effects in (a); correctly identifies unemployment mechanisms under fixed wages vs market-clearing under flexible wages in (b); accurately captures Buchanan's procedural critique and Sen's mathematical resolution through weakened rationality conditions in (c) | Covers basic tax effects and privatization impacts but conflates short-run and long-run effects; mentions Buchanan and Sen superficially without clear logical linkage | Confuses potential GDP with actual GDP; treats fixed and flexible wage cases identically; misrepresents Arrow's theorem as about voting paradox only or confuses Buchanan with public choice critique of government failure |
| Diagram / model | 20% | 10 | Uses Solow-Swan or Ramsey model diagram for growth effects in (a); IS-LM or AD-AS with labour market diagrams showing vertical vs upward-sloping supply for (b)(i) and (ii); social preference mapping or decision tree for Sen's theorem in (c) | Provides generic tax incidence or labour market diagrams without model-specific application; describes Sen's result textually without visual representation | No diagrams or irrelevant diagrams; mislabels axes or shows incorrect equilibrium shifts |
| Quantitative reasoning | 15% | 7.5 | Uses growth accounting decomposition for tax effects on steady-state capital; derives unemployment rate changes numerically for fixed wage case; explains Sen's proof structure with set-theoretic notation or logical conditions (Pareto, independence, non-dictatorship) | Mentions elasticities qualitatively; describes comparative statics without formal derivation; lists Arrow's axioms without explaining their role in impossibility | No quantitative or logical structure; purely descriptive treatment of all parts |
| Indian / empirical examples | 20% | 10 | Cites India's experience with EPF taxation debates or DTC recommendations for (a); references Delhi water privatization, Mumbai metro PPPs, or railway privatization discourse for (b); connects Sen's work to India's social choice challenges like poverty measurement or NITI Aayog's multi-dimensional indices | Generic mention of GST or privatization without specific case; no Indian context for Sen's theorem | No empirical examples or irrelevant international cases without Indian relevance |
| Policy implication | 20% | 10 | Synthesizes optimal tax design (Ramsey rules) for (a); evaluates when privatization is welfare-improving based on wage flexibility conditions for (b); draws lessons for democratic institutional design and participatory mechanisms reflecting Buchanan-Sen debate for (c) | Lists standard policy prescriptions without conditional analysis; generic conclusion on privatization efficiency | No policy conclusions or contradictory recommendations across parts |
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