2022 Fiscal Year Final Research Report
Reexamining discrete choice models with Aitchison geometry and Nash bargaining solution
| Project/Area Number |
20K01595
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Review Section |
Basic Section 07030:Economic statistics-related
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| Research Institution | International Christian University |
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Principal Investigator |
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| Project Period (FY) |
2020-04-01 – 2023-03-31
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| Keywords | Nash bargaining / Channel profitability / Powerful retailer / Price unobservability / Aitchison Geometry / Logratio transform |
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| Outline of Final Research Achievements |
Demand estimation for differentiated products is essential for researchers and policy makers to analyze social welfare and formulate competition policy. Based on the results of the 2004-07(C), 2008-12(B), 2013-15 Challenging Exploratory Research, and 2015-18(B), we focused on two themes in this study. (Study 1) proposed a method to model the strategic behavior of each manufacturer versus each retailer through Nash-Bargaining to enable more precise and nuanced analysis, and to represent the competitive state of each channel by means of a structural model.
In (Study 2), reflecting our frustration that the discrete choice model is not represented by a suitable geometry and that,as a result,a more appropriate statistical estimation method has not been proposed, we returned to the fundamentals of the discrete choice problem and proposed an estimation method that is consistent with an understanding of the model under a more appropriate Aitchison geometry and additive logratio transform.
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| Free Research Field |
統計科学、計量経済学
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| Academic Significance and Societal Importance of the Research Achievements |
Draganska et al.(2010) に代表される先行研究では、卸売価格をめぐるバーゲニングの際に小売価格を契約の中に含めることはできない（retail price unobservability）と仮定し、卸売価格をめぐるバーゲニングを交渉当事者に限定できると仮定した。（研究1）ではリテイラーが卸売価格をめぐる交渉を小売価格に反映させることが可能であるとの前提にたち、より現実的なチャンネルごとの利益を表現することに成功した。（研究2）では、additive logratio transformを用いることにより、離散選択理論における効用が自然に表現できることを示した。
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