Exponential Individuals, Hyperbolic Households

Andrew Hertzberg
2010 Social Science Research Network  
This paper introduces a model of household consumption and savings in which household members have imperfectly aligned altruistic preferences. Speci...cally, member A values his own consumption more than member B values A's consumption. Each period, members independently choose the amount of household wealth to consume as Nash best responses. At each point in time, the household consumes a higher fraction of wealth than under the full commitment Pareto optimum. Ex-ante Pareto optimal household
more » ... onsumption plans are not subgame perfect because both members wish to deviate to increase their own consumption. As a result the household is willing to pay for a technology that commits them to an optimal lifetime consumption plan. Despite both members individually having time consistent exponential discount rates, equilibrium household consumption dynamics are captured by a single representative agent with a hyperbolic discount factor that is microfounded in the degree of preference misalignment within the household. Columbia Business School.
doi:10.2139/ssrn.1915518 fatcat:jtpzahggfvbfbblze4yygf3lay