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LEARNING BEHAVIOR AND THE NONCOOPERATIVE EQUILIBRIUM
A GAME OF FAIR DIVISION
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analogous arbitration argument assumes role assumption average return bargaining bundle C's preferences choose game choose method completes the proof component consumption contradiction cooperative trade Crawford D's and C's D's optimal defined denote divide and choose divide-and-choose method divider's advantage Econometrica Economic Theory EE locus EICE allocation excess demand functions existence fair allocation fair division device feasible for 2.A game allocation Game of Fair game theory game with production indifference curve jointly continuous Lemma locally unstable measure zero mixed strategies n-person games Nash equilibrium nearly identical preferences Neumann noncooperative equilibrium obtained Oligopoly optimal division optimal strategy optimality properties outcome Pareto-efficient allocation payoff matrix player i's preferences are convex problem procedure production is possible pure strategies pure-trade divide quasiconcave role of divider Section set of fair solution concept solution to 2.A strategy choices strictly positive strongly monotonic Studies Theorem 2.1 two-person games u(c z(c unequal treatment utility functions vector