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Essays on Empirical and Computational Analysis of Limited Attention

DC Field Value Language
dc.contributor.advisor최승주-
dc.contributor.author이영환-
dc.date.accessioned2018-11-12T00:56:33Z-
dc.date.available2018-11-12T00:56:33Z-
dc.date.issued2018-08-
dc.identifier.other000000153379-
dc.identifier.urihttps://hdl.handle.net/10371/143112-
dc.description학위논문 (박사)-- 서울대학교 대학원 : 사회과학대학 경제학부, 2018. 8. 최승주.-
dc.description.abstractThis dissertation consists of three chapters on the limited attention and incomplete information. The first and the second chapter deal with the random consideration model empirically and computationally, respectively. The third chapter proposes a hypothesis testing procedure in an environment where an econometrician is not provided with sufficient information.

The first chapter examines an investor's attention allocation choice when information includes both depth and scope. By explicitly introducing these two aspects into the model, anomalous pricing patterns in the Korean racetrack betting market are explained. The results show that two types of attention allocation strategies coexist in the Korean racetrack betting market: generalists, who seek the scope of information, and specialists, who seek the depth of information. Here, I show that the different choice of attention allocation strategies can be explained under a standard rational framework.

I propose a fast and reliable computation algorithm for the random consideration model in the second chapter. I develop a simple representation of the model to reduce the computational burden. I show that the new algorithm outperforms existing methods in terms of accuracy and efficiency.

The last chapter deals with a Wald test in an environment where the design matrix is rank deficient or near singular. I propose a robust Wald test procedure that is attainable and that has a smaller type-I error than that of the classical Wald test procedure. I show that the robust Wald test procedure alleviates the phenomenon that a null hypothesis is overly rejected if the econometric model is high dimensional.
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dc.description.tableofcontents1 Attention Allocation Between Information Scope and Depth 4

1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

1.2 Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

1.2.1 The Market . . . . . . . . . . . . . . . . . . . . . . . 9

1.2.2 Information Depth . . . . . . . . . . . . . . . . . . . 11

1.2.3 Information Scope . . . . . . . . . . . . . . . . . . . 13

1.3 Bounded Rationality and Asset Market . . . . . . . . . . . 13

1.3.1 Value of Information . . . . . . . . . . . . . . . . . . 14

1.3.2 Is the Price Right . . . . . . . . . . . . . . . . . . . 15

1.4 Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19

1.5 Estimation . . . . . . . . . . . . . . . . . . . . . . . . . . . 22

1.6 Discussion: Rational Attention Allocation . . . . . . . . . . 26

1.7 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

Appendices 30

1.A Omitted Proofs . . . . . . . . . . . . . . . . . . . . . . . . . 30

1.A.1 Derivation of Equation (1.3) . . . . . . . . . . . . . . 30

1.A.2 Proof of Theorem 1.1 . . . . . . . . . . . . . . . . . 30

1.A.3 Proof of Theorem 1.2 . . . . . . . . . . . . . . . . . 31

1.A.4 Proof of Theorem 1.3 . . . . . . . . . . . . . . . . . 31

1.B Substitution Between Betting Types . . . . . . . . . . . . . 32

1.C Estimation of the Empirical Return Function . . . . . . . . 33

1.C.1 Data . . . . . . . . . . . . . . . . . . . . . . . . . . . 33

1.C.2 Estimation Strategy . . . . . . . . . . . . . . . . . . 34

2 Fast Computation Algorithm for the Random Consideration Model 37

2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . 37

2.2 Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

2.2.1 Random Consideration Model . . . . . . . . . . . . . 40

2.2.2 Random Utility Representation . . . . . . . . . . . . 41

2.3 Algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42

2.3.1 MCPE . . . . . . . . . . . . . . . . . . . . . . . . . . 42

2.3.2 QCPE . . . . . . . . . . . . . . . . . . . . . . . . . . 43

2.4 Numerical Example . . . . . . . . . . . . . . . . . . . . . . . 45

2.4.1 Simulation Setting . . . . . . . . . . . . . . . . . . . 46

2.4.2 Simulation Result . . . . . . . . . . . . . . . . . . . 47

2.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . 48

Appendices 49

2.A Proofs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49

2.A.1 Proof of theorem 2.1 . . . . . . . . . . . . . . . . . . 49

2.A.2 Proof of proposition 2.1 . . . . . . . . . . . . . . . . 50

2.A.3 Proof of proposition 2.2 . . . . . . . . . . . . . . . . 50

3 Robust Wald Test for an Ill-Posed or Ill-Conditioned Lin- ear Mode 53

3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . 53

3.1.1 Related Literature . . . . . . . . . . . . . . . . . . . 55

3.2 Why Does the Wald Test Not Work . . . . . . . . . . . . . 56

3.3 Robust Wald Test Procedure . . . . . . . . . . . . . . . . . 59

3.3.1 Notation and Settings . . . . . . . . . . . . . . . . . 59

3.3.2 Robust Wald Test . . . . . . . . . . . . . . . . . . . 61

3.4 Numerical Examples . . . . . . . . . . . . . . . . . . . . . . 63

3.4.1 Slutsky Symmetry and Demand Homogeneity . . . . 63

3.4.2 Comparison with the Debiased Estimators . . . . . . 65

3.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . 66

Appendices 67

3.A Proofs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67

3.A.1 Proof of theorem 3.1 . . . . . . . . . . . . . . . . . . 67

3.A.2 Proof of theorem 3.2 . . . . . . . . . . . . . . . . . . 67

3.B Details of Numerical Examples . . . . . . . . . . . . . . . . 69

3.B.1 Slutsky Symmetry and Demand Homogeneity . . . . 69

3.B.2 Comparison to the Debiased Estimators . . . . . . . 70
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dc.language.isoen-
dc.publisher서울대학교 대학원-
dc.subject.ddc330-
dc.titleEssays on Empirical and Computational Analysis of Limited Attention-
dc.typeThesis-
dc.description.degreeDoctor-
dc.contributor.affiliation사회과학대학 경제학부-
dc.date.awarded2018-08-
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