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Session S20 - Applied Math and Computational Methods and Analysis across the Americas

Monday, July 19, 17:00 ~ 17:30 UTC-3

Improving cooperation using fractional punishment in a compulsory public good game

Christian Schaerer

Polytechnic School, National University of Asuncion, Paraguay   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The effect of incentives in the evolution of cooperation has been studied using evolutionary game theory as a fundamental issue for improving and maintaining cooperation. Unfortunately, incentives have a cost. In this talk, based on an optional public good game model, I will present an approach to sanction, denoted as partial punishment, where a randomly selected set of the free riders is punished. The approach seeks to reduce the number of free riders while minimizing the cost of the sanctioning system. A parameter is used to establish the portion of free riders to be sanctioned with the purpose to control the population state evolution in the game. Adjusting this sanctioning parameter, the phase portrait of the system can be modified, and when it surpasses a threshold, full cooperation is achieved, i.e., the full cooperator state becomes a global attractor. It will discuss how fractional punishment can be used to adjust criteria for sanctioning to improve the cooperation and reduce the sanctioning cost.

Joint work with Rocio Botta (Polytechnic School, National University of Asuncion, Paraguay) and Gerardo Blanco (Polytechnic School, National University of Asuncion, Paraguay).

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