A small Fish War: an example with frequency-dependent stage payoffs
Two agents possess the fishing rights to a lake. Each period they have two options, to catch without restraint, e.g., to use a fine-mazed net, or to catch with some restraint, e.g., to use a wide-mazed net. The use of a fine-mazed net always yields a higher immediate catch than the alternative. The present catches depend on the behavior of the agents in the past. The more often the agents have used the fine-mazed net in the past, the lower the present catches are independent from the type of nets being used. We determine feasible rewards and provide (subgame perfect) equilibria for the limiting average reward criterion using methods inspired by the repeated-games literature. Our analysis shows that a `tragedy of the commons' can be averted, as sustainable Pareto-efficient outcomes can be supported by subgame perfect equilibria.
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|Date of creation:||May 2005|
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"Nonzero-Sum Two-Person Repeated Games with Incomplete Information,"
Mathematics of Operations Research,
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- R. Joosten, "undated". "On Repeated Games with Vanishing Actions," Papers on Economics and Evolution 2001-11, Philipps University Marburg, Department of Geography.
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- FORGES, Françoise, "undated". "An approach to communication equilibria," CORE Discussion Papers RP 721, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- F. Forges, 2010. "An Approach to Communication Equilibrium," Levine's Working Paper Archive 516, David K. Levine.
- Forges, F., 1984. "An approach to communication equilibria," CORE Discussion Papers 1984035, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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