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Lecture note 1 最近の更新履歴 Keisuke Kawata's HP

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Keisuke Kawata

ISS, UTokyo

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This lecture

• Studying an alternative model of market; search theory.

⇒ Start from the basic framework, and then applications.

Material: Assigned paper and distributed slide (downloadable from Ka ata’s HP) Evaluation: Term paper

Office hour: 14:5516:40, Monday

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Model of market

• What’s market?

Classical definition: h potheti al pla e to e ha ge goods a d ser i es.

← arriage arket ?

Alternative definition: Place of matching (one to one/ one to many/ many to many) to joint activities.

Example)

Good market: Matching between buyers and sellers, and then transaction. Labor market: Matching between employees (worker) and employers

(capital/maneger), and then joint production.

Marriage market: Mat hi g et ee ale a d fe ale , a d li i g together.

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Frictionless market

Traditional market model: Frictionless market model including Warlasian,

monopolistic competition, and oligopoly(Bertrand, Cournot, and others) models.

⇒ Agents have perfect knowledge about posted contracts in a market.

⇒ Obtaining key properties (with some additional assumption).

• Agents can compare contracts law of one price.

• Agents can find matching partner if there are unmatched (but want to match) agents law of short-side

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Frictionless market

Search model: Incorporating limited knowledge

⇒ Limited ability to compare contracts and find unmatched agents. Example) Two period sequential search model with perfect memory.

• A buyer has a unit demand for (homogeneous) goods

• There are two sellers, and their price � is exogenously distributed with � � .

• To obtain the price information, the buyer needs to visit sellers with costs c.

• A buyer who purchases the goods from a seller i is

� = � − � − ��

where n is the number of searched goods, is the price of seller i.

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Optimal search strategy

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Implications for labor markets

Wage dispersion: Standard mincer equation (wage is explained by education level and labor market experience) cannot explain almost part of the wage variation.

“tru tural u e plo e t: E e if the u er of a a ies la or de a d exceeds the number of unemployment (labor supply), unemployment is ever presented.

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Implications for labor markets

(Job/employment placement services statistics)

0 500,000 1,000,000 1,500,000 2,000,000 2,500,000 3,000,000 3,500,000

02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17

job seekers vacancies new employment

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Implication for goods market

• Recently, consumer search (search model for goods market) became the area of much attention.

Main reason ⇒ Internet (Online market)

• Internet dramatically improve the ability to compare the goods, but the search activity is still important (e.g., Position auction).

• Even in online market, there still exist the price dispersion.

• In some cases, price is increased by decreasing search costs.

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Lecture plan

1. Sequential search

2. Diamond paradox

3. Random search with wage bargaining

5. Random search with differentiated goods

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Related Literature: Survey

Job search

• Rogerson, R., Shimer, R., & Wright, R. (2005). Search-theoretic models of the labor market: A survey. Journal of economic literature, 43(4), 959-988.

• Kircher, P., & Wright, R., & Julien, B., & Guerrieri, V., (2017) Directed Search: A Guided Tour. Discussion paper

• Chade, H., Eeckhout, J., & Smith, L. (2017). Sorting through search and matching models in economics. Journal of Economic Literature, 55(2), 493-544.

• Petrongolo, B., & Pissarides, C. A. (2001). Looking into the black box: A survey of the matching function. Journal of Economic literature, 39(2), 390-431.

Consumer search

• Anderson, S. P., & Renault, R. Firm pricing with consumer search. forthcoming Handbook of Game Theory and Industrial Organization.

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