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Consider the situation in which Player M is an INCUMBENT monopolist in an industry, which makes a profit of $10m if left to enjoy its privileged position undisturbed. Player P is a firm that could (POTENTIALLY) Enter the market (E), or Stay out (S); if it chooses not to enter its residual activities outside of the market make a profit of just £2m. If the potential entrant, P, decides to enter then the monopolist, M, can do one of two things: it can Fight (F) by flooding the market with its product so as to force down the price, or it can Acquiesce (A) and split the market with the entrant. A fight is damaging to both M and P and as a consequence they both make zero profits (£0m). If they split the market, each will each make a profit of £4m.
Denote the strategy set for P as {E, S} and that for M as {A, F} : Find the perfect sub game Nash Equilibrium, typing your answer as either (S), (E,A) or (E, F) ; but remember the brackets, commas, upper case letters, AND no spaces.
Consider the electoral competition game presented in Lecture 6. In this game there are two candidates who simultaneously choose policies from the real line. There is a distribution
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A priori knowledge usually enables us to decide that some coefficients must be zero in the particular equation, while they assume non-zero values in other equations of the system.
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