PoA是economics和game theory里的概念 PoA = Price of Anarchy Anarchy = 无政府主义、混乱 如果不要中心化的authority来组织,那要付出多大的代价(相比性能下降多少)(我的理解)Notation game G = (N,S,u) 玩家有 N 个,单个某个玩家记为 i 单个某个玩家的策略集合为 S_i (这里只假定做的策略是确定性...
POA (price of anarchy)就是在equilibrium情况下总cost和最小cost的比值。(这个东西很有意义 是因为在没有任何管理的情况下,并不是所有的情况都会发生,每个流量都会前往让自己cost最小的情况,而不是随机的,所以是合理的设定) 当前的例子,equilibrium 是上边走1/2, 下边走1/2, 总cost是3/2。 而最优也是3/2...
The price of anarchy in supply chains: Quantifying the efficiency of price-only contracts. Management Science 53 (8), 1249-1268.G. Perakis and G. Roels. The price of anarchy in supply chains: Quantifying the efficiency of price-only contracts. Management Science, 53(8):1249-...
We analyze the convergence of the price of anarchy (PoA) of Nash equilibria in atomic congestion games with growing total demandT. When the cost functions are polynomials of the same degree, we obtain explicit rates for a rapid convergence of the PoAs of pure and mixed Nash equilibria to 1 ...
Bounding the price of anarchy (PoA), which quantifies the degradation in the quality of outcomes in a (pure) Nash equilibrium of a game, is one of the fundamental questions in computational game theory. However, for a large class of games, a pure NE may not always exist and hence a ...
Intrinsic Robustness of the Price of Anarchy Summary: The price of anarchy (POA) is a worst-case measure of the inefficiency of selfish behavior, defined as the ratio of the objective function value o... T Roughgarden - DBLP 被引量: 627发表: 2009年 On the Price of Anarchy and Stability...
In order to do so we look at the Price of Anarchy (PoA) which was introduced by Koutsoupias and Papadimitriou [6]. The PoA is a measure of the inefficiency of a decentralized scheme. It is defined as the ratio between the performance obtained by the worst Nash equilibrium and the ...
Intrinsic Robustness of the Price of Anarchy Summary: The price of anarchy (POA) is a worst-case measure of the inefficiency of selfish behavior, defined as the ratio of the objective function value o... T Roughgarden - DBLP 被引量: 627发表: 2009年 On the Price of Anarchy and Stability...
For this reason the community may try to define weights so as to decrease the price of anarchy. By this motivation, we raise and investigate the following question. Problem 2 How should one define the weights for the items, so that the PoA will be as small as possible? What is the ...
Definition:priceofanarchy(POA)ofagame(w.r.t.some objectivefunction): optimalobjfnvalue equilibriumobjectivefnvalue thecloserto1 thebetter 6 ThePriceofAnarchy Networkw/2players: st 2x 12 5x 5 0 7 ThePriceofAnarchy NashEquilibrium: cost=14+14=28 ...