A Short Review of Game Theory for Neurosurgeons

Abstract

Neurosurgery and medicine in general are increasingly dominated by economic factors and considerations. Physicians themselves have partially adopted economic terminology, although they rarely have a profound knowledge of economics. Today game theory is one of the most important factors driving microeconomics, which is the competition for limited resources within a small group of individuals. The purpose of this article is to give a short introduction to game theory and its application to the healthcare system. The Prisoner's Dilemma considers strategies between two persons. In the classic version two burglars are caught. Each could confess and be released from jail if the other does not confess – who will then get a long term in prison. If both confess, both get an intermediate time in jail, and if no one confesses, both get a mild sentence. Wanting to be released from jail, they both confess and get the intermediate term in prison. This remarkable result, initially described by John von Neumann in 1928 and showing that individually rational actions can result in both persons becoming worse off, had a great impact on modern social science. Other scenarios are more complex. The Nash Equilibrium is a wider concept. If there is a set of strategies with the property that no player can benefit by changing his strategy while the other players keep their strategies unchanged, then that set of strategies and the corresponding payoffs constitute the Nash Equilibrium. Another concept particularly important in sociology is the Pareto criterion. If no one can be made better off without making somebody else worse off, then that outcome is Pareto optimal. Respecting these basic principles is a necessary precondition for successful deals and cooperative projects.

Key words

game theory - microeconomics - Prisoner's Dilemma - Nash Equilibrium - Pareto optimum

References

• 1 Cialdini RB. The science of persuasion.  Scientific American. 2001;  284 76-81
• 2 McCaine R. Game Theory: A nontechnical introduction to the analysis of strategy.  Drexel. 2002;  http://william-king.www.drexel.edu/top/eco/game/game.html
• 3 Meyerson RB. Harsanyi's games with incomplete information.  Uni 'Chicago. 2004;  http://home.uchicago.edu/∼rmyerson/research/harsinfo.pdf
• 4 Milgram S. Behavioral study of obedience.  Journal of Abnormal and Social Psychology. 1983;  67 371-378 Full-text PDF
• 5 Neumann JV. Zur Theorie der Gesellschaftspiele.  Mathematische Annalen. 1928;  100 295-320 http://www.springerlink.com/content/q07530916862223p/
• 6 Princeton University Communications and Publications . Albert William Tucker.  Uni Princeton. 1995;  http://www.princeton.edu/pr/news/95/q1/0126tucker.html
• 7 Stanford Encylopedia of Philosophy . Game Theory.  Uni Stanford. 2002;  http://plato.stanford.edu/entries/game-theory/

Correspondence