Article
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An In-Depth Analysis of a Game of Bidding for a Blonde Girl: Choosing Between the Blonde and Brunette
Version 1
: Received: 5 May 2023 / Approved: 8 May 2023 / Online: 8 May 2023 (12:32:07 CEST)
How to cite: Farshi, E. An In-Depth Analysis of a Game of Bidding for a Blonde Girl: Choosing Between the Blonde and Brunette . Preprints 2023, 2023050540. https://doi.org/10.20944/preprints202305.0540.v1 Farshi, E. An In-Depth Analysis of a Game of Bidding for a Blonde Girl: Choosing Between the Blonde and Brunette . Preprints 2023, 2023050540. https://doi.org/10.20944/preprints202305.0540.v1
Abstract
This paper presents a comprehensive investigation of a strategic game inspired by a notable scene from the movie "A Beautiful Mind." We explore the game's properties, equilibrium behavior, and its relationship with the classic Bertrand competition model. By employing the concept of Bayesian Nash equilibrium, we analyze the strategic behavior of players under incomplete information and assess the role of private valuations in determining the game's outcomes. Our findings reveal key similarities and differences between the game inspired by "A Beautiful Mind" and the Bertrand competition model, shedding light on the underlying strategic behavior and market competition dynamics in both settings. Our findings show that for a large number of competitors (n), the reasonable choice is to ignore the blonde. We also found that going for the brunette (the second attractive girl) is more reasonable compared to the blonde. Furthermore, we discuss the implications of our findings for market competition and economic theory, acknowledge the limitations of our analysis, and suggest potential avenues for future research. This in-depth examination significantly enhances our understanding of the game and its potential implications.
Keywords
Game theory; Nash Equilibrium
Subject
Business, Economics and Management, Economics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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