Consider the following simultaneous move game. Two firms are considering where to open their flagship store in a state they are expanding into. After they simultaneously make their decisions, they compete and earn the additional profits (in millions) given in the cell corresponding to the location they both chose. Which Cell is the Nash Equilibrium? (underlined payoffs are for Firm 1) Firm 2 Locations Location Location Location 1 2 Location 10, 4 5, 3 3, 2 A B Firm 1 0, 1 4, 6 6,0 Location Locations F y D E Location 2, 1 3, 5 2,8 G H

The world has changed a bit. Microsoft and Google could still either cooperate or compete in the market for social media video software currently captured by Tik Tok, but their payoffs have changed. The table below shows their profits in billions of USD in each scenario. Use your mouse to point and click on the Nash equilibrium outcome(s). [There may be more than one so make sure you work out all the best response strategies]. Microsoft Cooperate 3,3 4,0 Cooperate O Don't cooperate O Google Don't cooperate O O 0,4 1,1

Consider the following game matrix with two players- Player 1 and Player 2 with their respective strategies. Which of the following statements is correct such as x>y>b>a Players Player2 Player 1 A B C D (Y, Y) (b, x) (x, a) (AE) is the one of many Nash equilibria (C) is the unique Nash equilibria (C. D) is the unique Nash equilibria (A. E) and (B. F) are two Nash equilibria E (a, b) (x, y) (y, a) F (a,x) (a, b) (b, b)

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The following game is played by 2 players         Adam Jack   Left Middle Right Up 1,2 3,5 2,1 Middle 0,4 2,1 3,0 Down -1,1 4,3 0,2   Determine all dominant strategies for Adam and Jack.  Solve the equilibrium for this game.

We can see from the payoff matrix that there are no pure strategy Nash equilibrium in this game because at least one firm would always have an incentive to change its behavior. ​ From​ Nash's​ theorem, we know there must be at least one Nash equilibrium so there must be a mixed strategy Nash equilibrium for this game.   Find the mixed strategy Nash equilibrium by first deleting all dominated strategies in the game   What's the expected payoff to Firm 1 in the equilibrium?

Find the Nash equilibrium strategy and payoff in this simultaneous game. Show your work. Firms can collude (C) or not collude (NC) and their profits in millions are as follows. Please see attached.

What are the sub games in the following game? Find all subgame perfect Nash equilibria (SPNE)

Can a strategy be dominant for one player in a Nash equilibrium

Imagine that there are two snowboard manufacturers (FatSki and WideBoard) in the market. Each firm can either produce ten or twenty snowboards per day. The table below (see attached) shows the profit per snowboard for each firm that will result given the joint production decisions of these two firms. Draw the game payoff matrix for this situation.  Does either player have a dominant strategy? If so, what is it?  What is the Nash equilibrium solution and how many boards should each player produce each day?  Since FatSki and WideBoard must play this game repeatedly (i.e. make production decisions every day), what strategy would you advise them to play in order to maximize their payoff over the long term?