Nick Baigent, Game theory, Winter Semester 2006 Subgame Perfect Nash Equilibrium: An Example 1 1 1 2 2 A B C D E F L L R R 3 2 6 4 2 1 4 6 8 5 3 0 The extensive form game above has 3 subgames: One is the whole game, since any game is a subgame of itself. There are...
Lecture5SubgamePerfectEquilibrium Lecture5:Subgame Perfect Equilibrium November1,2006
SPE只有一个:(默许,进入)我们来观察一下(竞争,不进入)这个NE而非SPE,其潜在的假设是,无论B...
In this case,one of the Nash equilibriums is not subgame-perfect equilibrium.
1)subgame perfect Nash equilibrium子博弈精炼纳什均衡 1.The subgame perfect Nash equilibrium which leads to profit maximization is given when there are different types of consumers.建立在同类产品存在多方面差异条件下双寡头企业两阶段动态定位定价博弈模型,在市场中存在不同类型消费者时,求出了使企业利润最大...
6.1SubgamePerfectNashEquilibrium ConsiderthedynamicInvestmentinNewProductgameofcompleteinformation,inwhichfirm1choosesfirstandfirm2choosesafterhe/sheobservesthefirm’schoice.Themarketdemandis high.1 x1 a b 2 2 x2 x3 a x4 300,300 b x5 800,0 a x6 0,800 b x7 0,0 TherearetwoNashequilibriainabove...
Therefore, the subgame-perfect equilibrium is as in Figure 11.4. First, Player 1 chooses and then they play ( ) simultaneously. 1 B X L R T E 1 (2,6) (0,1) (3,2) (-1,3) (1,5) 2 L R Figure 11.4: Subgame-perfect Nash equilibrium The above example ...
Chap.6; Content;6.1 Subgame Perfect Nash Equilibrium;The market demand is high. ;;The market demand is low.;;; Consider the following extensive form game. ; There exists two subgames in the extensive-form game. ;;;6.2 Backwards Induction;;; The subgame perfect Nash Equilibrium is shown as...
GOV 2005: Game Theory Section 5: Subgame-Perfect Eqm Alexis Diamond adiamond@ Agenda Main ideas Key terms Extensive Games, Backward Induction Subgame Perfect Nash Equilibrium Baron and Ferejohn: Bargaining in Legislatures The strategic setting Two-round, 3 candidate closed rule game Two-round, n-...
Therefore, the notion of optimality is defined through a game-theoretic framework by means of subgame-perfect equilibrium: we interpret our preference changes which, realistically, are inconsistent over time, as players in a game for which we want to find a Nash equilibrium. The approach followed...