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Cooperation model with costly punishment

Tomasz M. Gradowski 1Maciej J. Mrowiński 1Robert A. Kosiński 1,2

1. Warsaw University of Technology, Faculty of Physics, Koszykowa 75, Warszawa 00-662, Poland
2. Central institute for labour protection national research institute (CIOP-PIB), Czerniakowska 16, Warszawa 00-701, Poland

Abstract

In recent years the issue of costly punishment in systems where free-riding problem occurs has been a subject of extensive research in the field of game theory. This issue is present in many areas of human activities like paying taxes, using public transport, wireless Internet or p2p networks. It is one of the most common dilemmas in modern societies.

In this work we present a simple model of cooperation with three possible strategies (cooperate, defeat or punish). In the model players explore the available strategies according to their interactions with other players. We introduce two groups of parameters of the model. The first group is sociological-like and it describes the social acceptance for the free-riding behaviour. The other group of the parameters describes economical aspects of the system - cost and efficiency of the punishers. Using differential equations approach, as well as agent based model, we look for equilibrium properties of the system.

 

Auxiliary resources (full texts, presentations, posters, etc.)
  1. POSTER: Cooperation model with costly punishment, PDF document, version 1.4, 1.7MB
 

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Related papers

Presentation: Poster at 5 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", by Tomasz M. Gradowski
See On-line Journal of 5 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych"

Submitted: 2010-10-11 10:01
Revised:   2010-10-11 10:05