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Overconfidence and Public Intoxication Arrest: Evidence from a University Town Police Log

  • Elizabeth Hoffman and Younjun Kim EMAIL logo
Published/Copyright: December 16, 2022

Abstract

We show that overconfident individuals are likely to be arrested for public intoxication by using arrest records from a university town police log. This relationship is robust to various control variables such as risk aversion, time discounting, present bias, self-control, selfishness, loss aversion, and socializing with peers arrested for public intoxication. However, this relationship is no longer significant using only self-reported arrest data. We hypothesize that overconfident individuals are likely to underreport their arrests. This result has important implications for the use of self-reported data on public intoxication arrests rather than actual arrest records.

JEL Classification: I12; K42; D91

Corresponding author: Younjun Kim, Associate Professor of Economics, Southern Connecticut State University, New Haven, CT, USA, E-mail:

Acknowledgments

The authors would like to thank the Bureau of Business Research at University of Nebraska-Lincoln for funding. The authors would also like to thank Tim Salmon and Kip Viscusi for their comments on earlier drafts and Lucy Dougherty, Hoffmann Kim, and Taylor Weidman for their experimental assistance. The authors thank two anonymous reviewers for constructive comments.

Appendix A: Logit and Linear Probability Model Regressions

Table A1:

Determinants of public intoxication arrest: police-reported arrest data.

Dependent variable: publicintoxication arrest (=1) (1) (2) (3) (4)
Overconfidence 0.58 (0.19)*** 0.59 (0.20)*** 0.61 (0.23)*** 0.62 (0.24)***
Risk aversion 0.02 (0.13) 0.15 (0.16)
Discount rate 0.02 (0.17) 0.09 (0.19)
Present bias 0.13 (0.20) 0.08 (0.22)
Self-control 0.05 (0.03) 0.07 (0.03)**
Selfishness 0.02 (0.08) 0.07 (0.08)
Loss aversion 0.06 (0.23) 0.05 (0.27)
Peers arrested for public intoxication 1.32 (0.50)*** 1.44 (0.51)***
Log-likelihood 71.20 69.38 61.92 59.35
  1. N = 124. Logit estimates are reported. All models include a male dummy variable and age. Robust standard errors are reported in parentheses. ***p-value <0.01, **<0.05.

Table A2:

Robustness tests.

Dependent variable: public intoxication arrest (=1)
Restriction: correct answers in cognitive reflection test ≤3 Adding cognitive reflection test score Including only binge drinkers in the control group
Overconfidence 0.80 (0.23)*** 0.64 (0.32)** 0.50 (0.23)**
Risk aversion 0.20 (0.17) 0.11 (0.15) 0.19 (0.20)
Discount rate 0.09 (0.22) 0.10 (0.19) 0.08 (0.22)
Present bias 0.14 (0.25) 0.09 (0.22) 0.04 (0.25)
Self-control 0.06 (0.04) 0.07 (0.03)** 0.06 (0.05)
Selfishness 0.00 (0.11) 0.07 (0.08) 0.05 (0.09)
Loss aversion 0.07 (0.30) 0.01 (0.26) 0.20 (0.29)
Peers arrested for public intoxication 1.63 (0.66)** 1.45 (0.53)*** 1.39 (0.65)**
Cognitive reflection test score 0.02 (0.28)
Log-likelihood 49.38 59.55 47.86
Observations 107 124 91
  1. Logit estimates are reported. All models include a male dummy variable and age. Robust standard errors are reported in parentheses. ***p-value <0.01, **<0.05.

Table A3:

Determinants of public intoxication arrest and underreporting: self-reported arrest data

Dependent variable (1) (2) (3) (4) (5) (6) (7) (8) (9)
Public intoxication arrest (=1) Underreporting (=1)
Overconfidence 0.27 (0.19) 1.43 (0.48)***
Risk aversion 0.01 (0.14) 0.32 (0.23)
Discount rate 0.17 (0.19) 0.09 (0.31)
Present bias 0.17 (0.21) 0.11 (0.23)
Self-control 0.08 (0.03)** 0.08 (0.08)
Selfishness 0.11 (0.08) 0.18 (0.16)
Loss aversion 0.01 (0.24) 0.04 (0.31)
Peers arrested for public intoxication 0.91 (0.53)* 0.66 (0.30)**
Log-likelihood 63.85 15.81 19.93 20.52 20.50 19.99 19.89 20.55 19.00
  1. N = 124. Logit estimates are reported. All models include a male dummy variable and age. Robust standard errors are reported in parentheses. ***p-value <0.01, **<0.05, *<0.10.

Table A4:

Determinants of public intoxication arrest: police-reported arrest data.

Dependent variable: public (1) (2) (3) (4)
intoxication arrest (=1)
Overconfidence 0.11 (0.04)*** 0.11 (0.04)*** 0.09 (0.03)*** 0.09 (0.04)**
Risk aversion 0.01 (0.03) 0.02 (0.02)
Discount rate 0.00 (0.03) 0.01 (0.03)
Present bias 0.03 (0.04) 0.02 (0.04)
Self-control 0.01 (0.01) 0.01 (0.01)
Selfishness 0.01 (0.01) 0.01 (0.01)
Loss aversion 0.00 (0.04) 0.02 (0.04)
Peers arrested for public intoxication 0.19 (0.06)*** 0.19 (0.06)***
R-squared 0.17 0.20 0.28 0.30
  1. N = 124. Linear probability model estimates are reported. All models include a male dummy variable and age. Robust standard errors are reported in parentheses. ***p-value <0.01, **<0.05.

Table A5:

Robustness tests.

Dependent variable: public intoxication arrest (=1)
Restriction: correct answers in cognitive reflection test ≤3 Adding cognitive reflection test score Including only binge drinkers in the control group
Overconfidence 0.12 (0.04)*** 0.10 (0.05)* 0.08 (0.04)*
Risk aversion 0.02 (0.03) 0.02 (0.02) 0.02 (0.03)
Discount rate 0.01 (0.04) 0.01 (0.03) 0.02 (0.04)
Present bias 0.02 (0.04) 0.02 (0.04) 0.01 (0.05)
Self-control 0.01 (0.01) 0.01 (0.01) 0.01 (0.01)
Selfishness 0.00 (0.02) 0.01 (0.01) 0.01 (0.02)
Loss aversion 0.01 (0.05) 0.02 (0.04) 0.04 (0.05)
Peers arrested for public intoxication 0.19 (0.06)*** 0.19 (0.06)*** 0.16 (0.06)**
Cognitive reflection test score 0.01 (0.05)
R-squared 0.32 0.30 0.26
Observations 107 124 91
  1. Linear probability model estimates are reported. All models include a male dummy variable and age. Robust standard errors are reported in parentheses. ***p-value <0.01, **<0.05, *<0.10.

Table A6:

Determinants of public intoxication arrest and underreporting: self-reported arrest data.

Dependent variable (1) (2) (3) (4) (5) (6) (7) (8) (9)
Public intoxication arrest (=1) Underreporting (=1)
Overconfidence 0.04 (0.03) 0.05 (0.02)**
Risk aversion 0.00 (0.03) 0.01 (0.01)
Discount rate 0.03 (0.03) 0.00 (0.01)
Present bias 0.03 (0.04) 0.00 (0.01)
Self-control 0.01 (0.01)** 0.00 (0.00)
Selfishness 0.02 (0.01) 0.01 (0.01)
Loss aversion 0.01 (0.04) 0.00 (0.01)
Peers arrested for public intoxication 0.15 (0.07)** 0.05 (0.04)
R-squared 0.23 0.08 0.02 0.01 0.01 0.01 0.02 0.01 0.05
  1. N = 124. Linear probability model estimates are reported. All models include a male dummy variable and age. Robust standard errors are reported in parentheses. **p-value <0.05.

We provide logit and linear probability model regression results in this appendix. Logit regression results in Tables A1A3 (linear probability model regression results in A4, A5, and A6) correspond to Tables 2 4 in the text, respectively. These results are qualitatively comparable to probit regression results in the text.

Appendix B: Experimental Instructions

This is an economic study of health-related behaviors. You MUST be at least 18 years old to participate in the study. If you are an international student, you should NOT join the study because you may not be familiar with drinking-related regulations in the U.S.

The study is completely anonymous. Thus we ask you to choose your own participant ID. Please remember the ID because you need it when you receive your compensation. The ID should be the combination of any word and any one digit number (e.g. ISU7 or goldfish2).

Please decide your own participant ID: ______________

The study will ask you a number of questions, many of which can earn you money. Your earnings will be decided based on all of your choices in those questions. Participant compensation will average $20. Your final compensation may vary depending on your decisions made on study tasks.

The study will last approximately 20 min. Please try to complete the study in one sitting. If you complete the study within the next hour, we will pay you a $1 bonus in addition to your earnings.

[Overconfidence]

This task asks you to answer four logical questions. You will be paid $0.50 for each question answered correctly.

A monitor and a keyboard cost $350 in total. The monitor costs $300 more than the keyboard. How much does the keyboard cost? _____

It takes 10 computers 10 min to run 10 simulations. How long does it take 200 computers to run 200 simulations? _____

In a house, there is a tree. The tree doubles in height every year. If it takes 30 years for the tree to be 30 feet, how many years would it take to be 15 feet? _____

James is both the 10th tallest and the 10th shortest in height in the class. How many students are in the class? _____

How many of the four questions do you think you solved correctly? 0/1/2/3/4

[Risk aversion]

In this task, you will be asked to choose one lottery you would like to play among five different lotteries. Each lottery has two possible outcomes, and its outcome is determined by flipping a coin. You will learn your payoff in this task after you finish the entire study. Please choose one lottery you prefer: _____

  1. Lottery A: You win $4 if a heads turns up; you win $4 if a tails turns up.

  2. Lottery B: You win $6 if a heads turns up; you win $3 if a tails turns up.

  3. Lottery C: You win $8 if a heads turns up; you win $2 if a tails turns up.

  4. Lottery D: You win $10 if a heads turns up; you win $1 if a tails turns up.

  5. Lottery E: You win $12 if a heads turns up; you win $0 if a tails turns up.

[Discount rate and present bias]

In this task, suppose you were asked to choose between smaller payments today and larger payments in 4 weeks. For each question, please choose one payment. Please answer all six questions.

Would you like to receive (A) $49 today; or (B) $50 in 4 weeks? A/B.

Would you like to receive (A) $44 today; or (B) $50 in 4 weeks? A/B.

Would you like to receive (A) $40 today; or (B) $50 in 4 weeks? A/B.

Would you like to receive (A) $35 today; or (B) $50 in 4 weeks? A/B.

Would you like to receive (A) $29 today; or (B) $50 in 4 weeks? A/B.

Would you like to receive (A) $22 today; or (B) $50 in 4 weeks? A/B.

In this task, suppose you were asked to choose between smaller payments in 4 weeks and larger payments in 8 weeks. For each question, please choose one payment. Please answer all six questions.

Would you like to receive (A) $49 in 4 weeks; or (B) $50 in 8 weeks? A/B.

Would you like to receive (A) $44 in 4 weeks; or (B) $50 in 8 weeks? A/B.

Would you like to receive (A) $40 in 4 weeks; or (B) $50 in 8 weeks? A/B.

Would you like to receive (A) $35 in 4 weeks; or (B) $50 in 8 weeks? A/B.

Would you like to receive (A) $29 in 4 weeks; or (B) $50 in 8 weeks? A/B.

Would you like to receive (A) $22 in 4 weeks; or (B) $50 in 8 weeks? A/B.

[Self-control]

In this task, for each statement, please indicate how much you agree or disagree with the statement. Be sure to indicate your agreement or disagreement for every statement below.

Stronglydisagree Somewhatdisagree Neutral Somewhatagree Stronglyagree
I rarely make hasty decisions.
I am not able to get organized.
I do fly off the handle.
There are so many little jobs that need to be done that I sometimes just ignore them.
I control my temper.
I do things on impulse that I later regret.
I do control my angry feelings.
I do worry about things that might go wrong.
I do consider the consequences before I take action.
I am not a worrier.
I do plan for the future.
I never do things on the spur of the moment.
I do finish what I start.
I do act on impulse.

[Selfishness: dictator game]

In this task, you now have $10 to be divided between you and another, randomly chosen, study participant. All other study participants will be given the same choice: that is, they will be given $10 to divide between themselves and another participant.

Whichever amount you decide to pass on to another participant will be divided by two. That is, if you decide to pass $x and keep $(10 − x) for yourself, one randomly chosen participant will receive $x/2 (rounded up).

Your payoff from this task will be how much you allocate to yourself, plus half the amount allocated to you by another randomly chosen participant. Note that the recipient, the participant that receives money from you, and the participant that you receive money from will be different, and both will be chosen randomly.

Please decide a money amount for recipient (between $0 and $10): ____

[Loss aversion]

This task asks you to answer three questions. In each question, you will be asked to decide whether or not you would like to play a lottery. Each lottery has two possible outcomes, and its outcome is determined by flipping a coin.

Any amount you win will be added to your earnings, and any amount you lose will be subtracted from your earnings. After you finish the entire study, we will randomly choose one of your choices and pay you accordingly.

Would you play the following lottery?: Win $5 if a heads occurs; otherwise, lose $2 Play/Not play

Would you play the following lottery?: Win $5 if a heads occurs; otherwise, lose $3 Play/Not play

Would you play the following lottery?: Win $5 if a heads occurs; otherwise, lose $4 Play/Not play

[Peers who were arrested for public intoxication]

In this task, we have an interest in your best friends’ drinking-related behaviors in the past. Please prepare a scratch paper and list FIVE names of your best friends on the paper. We will not ask your friends’ names. Put friends first that you spend more time socializing with.

Please check a box if the friends have ever been arrested or cited for the following reasons since [the year prior to the experiment].

Public intoxication (“drunk and disorderly”) Neither I am not sure.
Friend 1 (closest)
Friend 2
Friend 3
Friend 4
Friend 5

[Self-reported public intoxication arrest]

Since the previous year, have you ever been arrested or cited for public intoxication (i.e. “drunk and disorderly”)? Yes/No

[Self-reported binge drinking]

In the past 30 days, have you had 5 [4 if you are female] or more drinks of alcohol on one occasion? One drink is defined as one bottle or glass of beer, one glass of wine, one mixed drink, or one shot of liquor? Yes/No

[Gender]

What is your gender? Male/Female.

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Received: 2022-02-08
Accepted: 2022-12-04
Published Online: 2022-12-16

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