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The Tragedy of the Commons Revisited

Listed author(s):
  • John M. Hartwick

We formulate the Malthus-Hardin tragedy of the commons as a special case of dynamic game between "tribes". At each date a member of a tribe desires more newborns of her/his type and more current consumption, harvested from the commons. Equilibrium in the dynamic game yields steady state level of per capita consumption for each person and a steady population level for each tribe (births equal deaths). We obtain four outcomes, depending on our assumptions about the discount rates of members of a tribe and about the mode of competition for "large populations" for each tribe. We compare Nash open loop and Nash feedback solutions with a quadratic current utility function and observe a larger populations under the feedback solution. The classic tragedy of the commons solution obtains as a special case of the open loop solution, one with an infinite rate of discount for players.

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File Function: First version 1992
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Paper provided by Queen's University, Department of Economics in its series Working Papers with number 856.

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Length: 18 pages
Date of creation: Jul 1992
Handle: RePEc:qed:wpaper:856
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