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Introduction to game-theory calculations

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Author Info
Nicola Orsini (Karolinska Institutet)
Debora Rizzuto (University of Siena)
Nicola Nante (University of Siena)

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Abstract

Game theory can be defined as the study of mathematical mod- els of conflict and cooperation between intelligent and rational decision makers (Myerson 1991). Game-theory concepts apply in economy, sociology, biology, and health care, and whenever the actions of several agents (individuals, groups, or any combination of these) are interdependent. We present a new command gamet to represent the extensive form (game tree) and the strategic form (payoff matrix) of a noncooperative game and to identify the solution of a nonzero and zero-sum game through dominant and dominated strategies, iterated elimination of domi- nated strategies, and Nash equilibrium in pure and fully mixed strategies. Further, gamet can identify the solution of a zero-sum game through maximin criterion and the solution of an extensive form game through backward induction. Copyright 2005 by StataCorp LP.

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Publisher Info
Article provided by StataCorp LP in its journal Stata Journal.

Volume (Year): 5 (2005)
Issue (Month): 3 (September)
Pages: 355-370
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:tsj:stataj:v:5:y:2005:i:3:p:355-370

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Related research
Keywords: Game theory; Nash equilibrium; payoff matrix; zero-sum game; game tree;

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This page was last updated on 2009-12-14.


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