慶應義塾大学 経済学部 PEARL入試 志望理由書 提出例(穂刈 享先生ゼミ向け)
Dr. Toru Hokari
Department of Economics, Mathematical Economics
Dear Professor Hokari,
I am writing this letter to explain my motivation in applying for Department of Economics at Keio University, specializing in Mathematical Economics and related fields. As we are exposed to more information than ever, the need for us to truly understand and process them only get bigger. I have read a number of your published work which I was very intrigued by. I hope I am able to elaborate on area of studies that I think is very much relevant, and I would be more than grateful if you could kindly give this a consideration.
Game theory is the process of modeling the strategic interaction between two or more players in a situation containing set rules and outcomes. While used in a number of disciplines, game theory is most notably used as a tool within the study of economics. The economic application of game theory can be a valuable tool to aide in the fundamental analysis of industries, sectors and any strategic interaction between two or more firms. As known, game theory has a variety of applications in diverse fields — economics, business, political science, biology, computer science and even philosophy and I wonder which theories are mostly relevant in recent examples.
Common game theories include Prisoner’s dilemma and NashEquilibrium. And its related refinement is the concept of trembling hand perfection. Suppose there exists a small probability that players don’t end up playing their dominant strategies. A trembling hand perfect equilibrium must be robust against slight perturbations in strategy. Issues surrounding this concept are similar to the problems of applying rational expectations models to study political reforms and regime changes. However, no discussion of game theory is complete without reference to the crucial issue of information in games, such as what do players know about each other. The even better refined solution is known as Bayesian Nash equilibrium, which is defined as a strategy profile that maximizes the expected payoff for each player given their consistent beliefs and also the strategies played by the other players.
Many scholars remind us, that we are constantly in the game and our life is impacted by a number of the actions and decisions made by others. It is crucial we study how political and corporate decisions are made as well as how decisions we make cost our society bare problems. With the prospect of even complex age of international players interacting with each other, understanding monetary policies and economic activities worldwide is extremely important. I assume this can be an addition to a number of researches conducted in your seminar and I would love to take part. Thank you very much for taking the time to read and I look forward to hearing from you soon on this matter.
Thank you and best regards,
:Games and Economic Behavior, 2005. “On properties of division rules lifted by bilateral consistency,” (with W. Thomson). Journal of Mathematical Economics, 2008