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Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456
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Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Dec 23, 2015

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Page 1: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Screening and Signaling

Edition 7: Chapter 12, pages 450-454

Edition 6: Chapter 12, pages 450-456

Page 2: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Screening and Signaling Definitions:

Screening- An attempt by an uninformed party to sort individuals according to their characteristics.

Signaling- An attempt by an informed party to send an observable indicator of his or her hidden characteristics to an uniformed party.

Page 3: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Examples of Screening

1. Screening to enable price discrimination (coupons, rebates, outlet malls,…)

2. Screening to sort different types of workers.

3. Choice of deductibles associated with different types of insurance.

4. Obtaining a physical to obtain a favorable life insurance policy.

Page 4: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Examples of Signaling

1. Obtaining an advanced degree such as an MBA or PhD.

2. Seller offering a warranty.

3. Labor contract negotiations/ Negotiating a compensation package.

Page 5: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Example 1: Signaling with a Warranty Suppose there are sellers of lemons

and sellers of peaches and buyers cannot tell a lemon from a peach (like the adverse selection example we did). Suppose a seller can obtain a price of $2,000 if he has a lemon and the buyer knows it’s a lemon and a price of $3,000 if he has a peach and the buyer knows it’s a peach. Finally, assume all sellers can credibly offer a warranty.

Page 6: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Example 1: Signaling with a Warranty

Let the probability of a lemon breaking down be .70 and the probability of a peach breaking down be .10. Suppose the warranty states that if the car breaks down, the seller will pay the buyer $1,500 to repair the car.

Page 7: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Example 1: Signaling with a Warranty

Will the seller with a lemon offer the warranty?Marginal Benefit (MB) from offering the warranty is $1,000.

Marginal Cost (MC) from offering the warranty is .7*1500=$1,050.

Will the seller with a peach offer the warranty?Marginal Benefit (MB) from offering the warranty is $1,000.

Marginal Cost (MC) from offering the warranty is .1*1500=$150.

MB<MC for seller with lemon and MB>MC for seller with peach. Therefore, seller with peach can credibly signal to buyer that the car is a peach by offering the above warranty.

Page 8: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Example 2: Signaling in National Football League Contract Negotiations

Time Table for “Rookies”

Draft Day - Late April

Start of Training Camp – Early July

Start of Regular Season – Late August

Page 9: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Example 2: Signaling in National Football League Contract Negotiations

Draft Prior to the draft, teams obtain information (size,

strength, speed, character and intelligence) about players through interviews, pre-draft workouts and game films.

Each NFL team is given one draft pick in each round to select a player or trade. The order in which teams draft in each round depends on the teams’ performance the previous season.

The team that drafts the player has the “rights” to that player for at least a year.

Page 10: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Example 2: Signaling in National Football League Contract Negotiations

Training Camp Teams hold training camps so the players can learn the

team’s offensive and defensive systems and achieve proper conditioning.

Contract Negotiations The majority of drafted players hire agents to negotiate

their contracts. Negotiations might occur in a series of meetings or a

series of phone calls. Drafted players sign what is termed a Standard Form

Contract (SFC). These contracts are almost always non-guaranteed.

Page 11: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Example 2: Signaling in National Football League Contract Negotiations

Representative Contract

Year Signing Bonus

Base Salary

Reporting Bonus

1991 $250,000 $150,000

1992 $170,000

1993 $190,000 $20,000

GuaranteedNon-Guaranteed

Page 12: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Summary Statistics of Contract Data

Page 13: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Example 2: Signaling in National Football League Contract Negotiations

What are the different manners by which a player can signal his private information?

1. Propose a contract with a small fraction of the compensation in guaranteed money (i.e., small signing bonus).

2. Propose a contract with a lot of incentive clauses in the contract.

3. Negotiate a short contract.4. Hold out and miss part of training camp.

Page 14: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Example 2: Signaling in National Football League Contract Negotiations

On the sidelines: An annual Economic Analysis of the National Football League prepared for members of the NFL Players Association

1. “… never recovered from his holdout and remains a reserve.... Maybe his agents should have recognized that he was a player who needed to be in camp early....”

2. “(The holdout) made my first year kind of rough. When I got into camp it took a while to get adjusted...”.

Page 15: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Illustration of why player can signal by holding out and missing part of training camp

Consider a player who can obtain a one-year, non-guaranteed contract worth $200,000 if he signs before the start of training camp or can obtain a one-year, non-guaranteed contract worth $250,000 if he holds out and signs 5 days after the start of training camp. If the player does not make the team, he can make $50,000 selling insurance.

Page 16: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Illustration of why player can signal by holding out and missing part of training camp

Suppose the player can either have negative private information or positive private information. For example, the player could know that the injury to his right knee in college is still bothering him (negative private information) or that he did not perform as well as he should have in college because his coach did not like him (positive private information).

Page 17: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Illustration of why player can signal by holding out and missing part of training camp

Player with negative private information

If he signs before training camp, his probability of making the team is .6. If he holds out and signs after the start of training camp, his probability of making the team is .3.

Expected payoff from signing before training camp is .6($200,000)+.4($50,000)=$140,000

Expected payoff from signing after training camp is .3($250,000)+.7($50,000)=$110,000

Player with negative information agrees to $200k contract prior to the start of training camp.

Page 18: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Illustration of why player can signal by holding out and missing part of training camp

Player with positive private information

If he signs before training camp, his probability of making the team is .75. If he holds out and signs after the start of training camp, his probability of making the team is .6.

Expected payoff from signing before training camp is .75($200,000)+.25($50,000)=$162,500

Expected payoff from signing after training camp is .6($250,000)+.4($50,000)=$170,000

Player with positive information agrees to $250k contract after the start of training camp.

Page 19: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Team’s Decision

Team is willing to pay a player who signs after the start of training camp more because the team realizes that the player is signaling his positive private information.

Page 20: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Example 2: Signaling in National Football League Contract Negotiations

On the sidelines: An annual Economic Analysis of the National Football League prepared for members of the NFL Players Association

“When a contract is signed has a major impact on what gets signed. For draftees especially, early deals as a rule produce numbers not only below the final averages in a round, but in many cases also under averages from the previous season.”

Page 21: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

What the data should reveal if players with positive private information sign after the start of training camp.

Players who sign after the start of training camp should receive more lucrative contracts and perform better (perhaps not in their first year) than players who sign before the start of training camp (conditional on when they were selected in the draft, their position, the team that drafted them, etc…).

Page 22: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Proportion that “Make Team” and Mean Number of Starts

Page 23: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Proportion that “Make Team” and Mean Number of Starts

Page 24: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

Conclusions Conditional on Round Drafted, Players

who sign after the start of training camp are more likely to “make the team” than players who sign before training camp.

Conditional on Round Drafted, Players who sign after the start of training camp start less games the first year after being drafted and more game the third year after being drafted than players who sign before training camp.

Page 25: Screening and Signaling Edition 7: Chapter 12, pages 450-454 Edition 6: Chapter 12, pages 450-456.

What does this have to do with you interviewing for a job and negotiating a compensation package?