SlideServe
Télécharger Obtenir Pro
Menu
Accueil Pro
Préférences
ApparenceLight Aide et commentaires
© SlideServe · v2026

Chapter Twenty-Nine

arleen avatar
arleen
107 diapositives · 1.3K Views · Dec 16, 2011

Chapter Twenty-Nine. Exchange. Exchange. Two consumers, A and B. Their endowments of goods 1 and 2 are E.g. The total quantities available. and. and. units of good 1. are. units of good 2. and. Exchange.

Chapter Twenty-Nine - slide 1
01 / 107Chapter Twenty-Nine
1 / 17

Télécharger la présentation

Chapter Twenty-Nine
Une image / un lien ci-dessous est fourni (tel quel) pour télécharger la présentation

Politique de téléchargement : le contenu du site vous est fourni TEL QUEL pour votre information et votre usage personnel ; il ne peut être vendu, concédé sous licence ni partagé sur d’autres sites sans l’accord de son auteur.Le contenu vous est fourni TEL QUEL, pour votre information et votre usage personnel uniquement. Téléchargez la présentation en cliquant sur ce lien. Lors du téléchargement, si vous ne parvenez pas à télécharger une présentation, l’éditeur a peut-être supprimé le fichier de son serveur.Pendant le téléchargement, si vous ne parvenez pas à obtenir une présentation, le fichier a peut-être été supprimé par l’éditeur.

F I N

Plus de contenu associé

Transcription de la présentation

  1. Chapter Twenty-Nine Exchange

  2. Exchange • Two consumers, A and B. • Their endowments of goods 1 and 2 are • E.g. • The total quantities available and and units of good 1 are units of good 2. and

  3. Exchange • Edgeworth and Bowley devised a diagram, called an Edgeworth box, to show all possible allocations of the available quantities of goods 1 and 2 between the two consumers.

  4. Starting an Edgeworth Box

  5. Starting an Edgeworth Box Width =

  6. Starting an Edgeworth Box Height = Width =

  7. Starting an Edgeworth Box Height = The dimensions ofthe box are thequantities availableof the goods. Width =

  8. Feasible Allocations • What allocations of the 8 units of good 1 and the 6 units of good 2 are feasible? • How can all of the feasible allocations be depicted by the Edgeworth box diagram?

  9. Feasible Allocations • What allocations of the 8 units of good 1 and the 6 units of good 2 are feasible? • How can all of the feasible allocations be depicted by the Edgeworth box diagram? • One feasible allocation is the before-trade allocation; i.e. the endowment allocation.

  10. The Endowment Allocation The endowmentallocation is Height = and Width =

  11. The Endowment Allocation Height = Width =

  12. The Endowment Allocation OB 6 OA 8

  13. The Endowment Allocation OB 6 4 OA 6 8

  14. The Endowment Allocation 2 OB 2 6 4 OA 6 8

  15. The Endowment Allocation 2 OB 2 6 Theendowmentallocation 4 OA 6 8

  16. The Endowment Allocation More generally, …

  17. The Endowment Allocation OB Theendowmentallocation OA

  18. Other Feasible Allocations • denotes an allocation to consumer A. • denotes an allocation to consumer B. • An allocation is feasible if and only if and

  19. Feasible Reallocations OB OA

  20. Feasible Reallocations OB OA

  21. Feasible Reallocations • All points in the box, including the boundary, represent feasible allocations of the combined endowments.

  22. Feasible Reallocations • All points in the box, including the boundary, represent feasible allocations of the combined endowments. • Which allocations will be blocked by one or both consumers? • Which allocations make both consumers better off?

  23. Adding Preferences to the Box For consumer A. OA

  24. Adding Preferences to the Box For consumer A. More preferred OA

  25. Adding Preferences to the Box For consumer B. OB

  26. Adding Preferences to the Box For consumer B. More preferred OB

  27. Adding Preferences to the Box For consumer B. OB More preferred

  28. Adding Preferences to the Box For consumer A. OA

  29. Adding Preferences to the Box OB OA

  30. Edgeworth’s Box OB OA

  31. Pareto-Improvement • An allocation of the endowment that improves the welfare of a consumer without reducing the welfare of another is a Pareto-improving allocation. • Where are the Pareto-improving allocations?

  32. Edgeworth’s Box OB OA

  33. Pareto-Improvements OB OA The set of Pareto-improving allocations

  34. Pareto-Improvements • Since each consumer can refuse to trade, the only possible outcomes from exchange are Pareto-improving allocations. • But which particular Pareto-improving allocation will be the outcome of trade?

  35. Pareto-Improvements OB OA The set of Pareto-improving reallocations

  36. Pareto-Improvements

  37. Pareto-Improvements

  38. Pareto-Improvements Tradeimproves bothA’s and B’s welfares.This is a Pareto-improvementover the endowment allocation.

  39. Pareto-Improvements New mutual gains-to-trade region is the set of all further Pareto- improving reallocations. Tradeimproves bothA’s and B’s welfares.This is a Pareto-improvementover the endowment allocation.

  40. Pareto-Improvements Further trade cannot improve both A and B’s welfares.

  41. Pareto-Optimality Better forconsumer A Better forconsumer B

  42. Pareto-Optimality A is strictly better off but B is strictly worse off

  43. Pareto-Optimality A is strictly better off but B is strictly worse off B is strictly betteroff but A is strictlyworse off

  44. Pareto-Optimality Both A andB are worseoff A is strictly better off but B is strictly worse off B is strictly betteroff but A is strictlyworse off

  45. Pareto-Optimality Both A andB are worseoff A is strictly better off but B is strictly worse off B is strictly betteroff but A is strictlyworse off Both Aand B are worse off

  46. Pareto-Optimality The allocation isPareto-optimal since theonly way one consumer’s welfare can be increased is todecrease the welfare of the otherconsumer.

  47. Pareto-Optimality An allocation where convexindifference curves are “only just back-to-back” is Pareto-optimal. The allocation isPareto-optimal since theonly way one consumer’s welfare can be increased is todecrease the welfare of the otherconsumer.

  48. Pareto-Optimality • Where are all of the Pareto-optimal allocations of the endowment?

  49. Pareto-Optimality OB OA

  50. Pareto-Optimality All the allocations marked bya are Pareto-optimal. OB OA