Consider an n-person economy in which efficiency is independent of distribution but the cardinal properties of the agents’ utility functions precludes transferable utility (a property we call “Almost TU”). We show that Almost TU is a necessary and sufficient condition for all agents to either benefit jointly or suffer jointly with any change in production possibilities under well-behaved generalized utilitarian bargaining solutions (of which the Nash Bargaining and the utilitarian solutions are special cases). We apply the result to household decisionmaking in the contex of the Rotten Kid Theorem and in evaluating a change in family taxation.
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Find related papers by JEL classification: C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation
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