Strategic Interaction and Externalities: FD-games and pollution
AbstractTo analyze strategic interaction which may induce externalities, we designed Bathroom Games with frequency-dependent stage payoffs. Two people regularly use a bathroom, before leaving they can either clean up the mess made, or not. Cleaning up involves an effort, so this option always gives a lower immediate utility than not cleaning up. The immediate utility of using the bathroom depends on its condition: the cleaner it is, the higher the utility. The pollution at a certain point in time depends on how often the players did not clean up in the past. Furthermore, as the bathroom's condition deteriorates, cleaning up becomes more burdensome, leading to increasing disutilities. We follow the analysis of repeated games and find that if the agents are sufficiently patient, individually-rational rewards can be supported by (subgame perfect) equilibria involving threats. In almost every such equilibrium, the bathroom is cleaned up regularly.
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Bibliographic InfoPaper provided by Max Planck Institute of Economics, Evolutionary Economics Group in its series Papers on Economics and Evolution with number 2004-17.
Length: 16 pages
Date of creation: Nov 2004
Date of revision:
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-02-13 (All new papers)
- NEP-ENV-2005-02-13 (Environmental Economics)
- NEP-GTH-2005-02-13 (Game Theory)
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- Reinoud Joosten, 2007. "Strategic Advertisement with Externalities: A New Dynamic Approach," Papers on Economics and Evolution 2007-02, Max Planck Institute of Economics, Evolutionary Economics Group.
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