g Consider the following payoff matrix for a one-shot simultaneous move game between players 1 and 2: Player 2 Up Down Player 1 Up (α, 3) (2, 0) Down (, µ) (1, σ) , where the first entry in each cell is the payoff for Player 1, the second for Player 2 and where α, , µ and σ are integers. (i) What inequalties must hold between the payoff values if the outcome where Player 1 plays Down and Player 2 plays Up is a Nash Equilibrium? (ii) Convert this normal form game to extensive form and determine the inequalties required for the same outcome, {Down, Up}, to be achieved in a leader-follower (Stackelberg) game where (i) Player 1 moves first; (ii) Player 2 moves first.

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Burke enterprises is considering a machine costing $30 billion that will result in initial after-tax cash savings of $3.7 billion at the end of the first year, and these savings will grow at a rate of 2 percent per year for 11 years. after 11 years, the company can sell the parts for $5 billion. burke has a target debt/equity ratio of 1.2, a beta of 1.79. you estimate that the return on the market is 7.5% and t-bills are currently yielding 2.5%. burke has two issuances of bonds outstanding. the first has 200,000 bonds trading at 98% of par, with coupons of 5%, face of $1000, and maturity of 5 years. the second has 500,000 bonds trading at par, with coupons of 7.5%, face of $1000, and maturity of 12 years. kate, the ceo, usually applies an adjustment factor to the discount rate of +2 for such highly innovative projects. should the company take on the project?

The discussion of the standards for selection of peanuts that will be used in m& ms and the placement of the m& m logo on the candies speaks to which building block of a sustainable competitive advantage: