- 相關(guān)推薦
彩票的合理性評價(jià)
摘 要
本文建立1種評價(jià)標準去衡量玩各種類(lèi)型彩票方案的合理性問(wèn)題。而游戲規則涉及到各種因素，如各種等級獎項的中獎率、獎項、獎金額的設置以及對彩民的吸引力等。進(jìn)而設計出更好的方案和相應的算法。首先，我們根據實(shí)際情況將各種彩票從整體上分類(lèi)，利用全概率公式逐步剝開(kāi)問(wèn)題本質(zhì)，得出了彩票各項具體中獎概率；基于這1結果，模型由數學(xué)期望概念得到啟發(fā)，提出期望獎金解決方案，建立層次結構分析模型。通過(guò)定性比較指標層各元素的相對重要性建立對目標層的判斷矩陣，得出的各個(gè)指標的權重，將評價(jià)標準徹底由抽象的表觀(guān)形式轉變?yōu)榫唧w和嚴格的量化形式，使準確直觀(guān)地比較各方案的優(yōu)劣成為可能。
其次，模型運用博弈理論證明必存在1個(gè)納什均衡，即雙方利益最大化的分配方案。在這基礎上，我們繼而建立了主成分分析模型尋找這1納什均衡點(diǎn)，將樣本空間降為3維，極大地簡(jiǎn)化了問(wèn)題的復雜度，結合搜索算法，簡(jiǎn)單明了地得出了問(wèn)題的結論。兩個(gè)模型的計算結果相差不大，充分說(shuō)明了模型的合理性和穩定性。對管理部門(mén)提出合理化的建議。
關(guān)鍵字：層次分析法；主成分分析；博弈理論；逐步求精
Lottery Reasonable Evaluation
Author: MA Yong-ren
(College of Mathematical Sciences and Computing Technology,
Hunan University of Science and Technology, Xiangtan 411201, China)
Tutor: MO Shang-feng
Abstract
In this paper, an evaluation criterion for playing all types of lottery programs reasonable question. And the rules of the game involving a variety of factors, such as different grades awards winners rate awards Award amount and the setting up of 100730 attractive. Then design a better program and the corresponding algorithm. First, according to the actual situation of our various lottery from the overall classification, the use of all probability formula gradually when catching nature of the problem. reached a winning lottery specific probability; Based on this result, the mathematical model from concept to be inspired expectations, Bonus expectations for solutions to establish hierarchical structure model. Qualitative indicators through more layers of the elements to establish the relative importance of the target layer judgment matrix, come to the various indicators of the weight of the evaluation criteria thoroughly apparent from the abstract into concrete form and rigorous quantitative form, enable accurate visual comparison of the pros and cons of each possible.
Secondly, the use of game theory model will prove the existence of a Nash equilibrium, that is to maximize the interests of both the distribution program. On this basis, we then established a principal component analysis model for the Nash equilibrium, sample space dimensionality reduction of 3-D, greatly simplifying the complexity of the issue, the search algorithm, simple to draw a conclusion about the issue. 2 model results are close, shows the model is reasonable and stability. Management departments to rationalize the proposals.
Keywords: AHP; Principal component analysis; Game theory; Stepwise refinement
【彩票的合理性評價(jià)】相關(guān)文章：
基于模糊邏輯理論的居民出行需求合理性評價(jià)03-07
彩票發(fā)行方案的優(yōu)化03-07
論說(shuō)EEDI的強制實(shí)施的合理性03-01
淺析建筑設計的合理性原則11-26
權益區分保護的合理性證明03-11
社會(huì )發(fā)展合理性哲學(xué)論文02-17
從精神分析的角度看莎士比亞悲劇的合理性01-01