在希臘神話中尋找賽局的足跡

Seeking footprints of Game theory in Greek mythology

梁嘉浚(Chia-Chun Liang)

指導教授 ： 周治邦

國立臺灣大學/社會科學院/國家發展研究所/碩士(2007年)

https://doi.org/10.6342/NTU.2007.10556

摘要

本研究採用希臘神話中的故事情節，並套用至混合賽局與集體賽局模型內，藉以觀察故事結果是否能與賽局均衡達成一致，並歸納整理出混合賽局持續進行下之規律，以及各種行動機率變化對賽局均衡之影響。研究結果發現在一般情況下，故事結果與賽局均衡的確出現差異，但若考慮特殊情況下，修正賽局設定後，的確可能發生兩者一致之情況。本研究認為，出現差異的原因在於相關參數的選取與設定，藉由不斷重複的過程中汲取經驗，將參數設定加以修正，便能逐漸減少賽局預測分析上的繆誤。

關鍵字

希臘神話 ； 賽局 ； 混合賽局 ； 混合策略 ； 集體行動

並列摘要

This research used stories of Greek mythology to explain game theory. By this process, I wished to see if stories’ ending and the equilibrium of game theory were identical, and also tried to find the rules of mixed game.

As a result, I found that stories’ ending and the equilibrium of game theory were different in general situation, but equal in particular situation. The reason for this result is the setting and selection of related parameters. But the variation of game theory can be revised by repeated processes.

並列關鍵字

Greek mythology ； game theory ； mixed game ； mixed strategy ； collective action

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