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APPLICATIONS OF GAME THEORY TO ECONOMICS
DISCUSSION FOLLOWING PROFESSOR MORGENSTERNS PAPER
OLIGOPOLISTIC MARKETS WITH NEW PRODUCTS
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assume assumption axiom of choice bargaining set behavior bidders Blotto game characteristic function coalition structure commodity bundle competitive allocation concept consider consisting consumers of type convex set cooperative games core counter objection defined Definition denote disjoint dominates economic equilibrium point equivalent exists expected expected utility hypothesis experimental finite number follows game of pairs game theory games without side given hypothesis implies imputation inequality initial holdings lemma Luce mathematical mixed strategies Morgenstern n-person game n-tuple non-cooperative games normal form number of consumers number of participants obtained outcome Pareto optimum partition payoff matrix payoff vector players possible preference Princeton University problem proof pure strategies quota rationality postulates relation result set of consumers Shapley Shubik side payments situation solution subjective probability subset SUP V(s theorem Theory of Games two-person utility function zero