Cooperation and Harmony in Finite Games

35 Pages Posted: 31 May 2005

See all articles by Daniel John Zizzo

Daniel John Zizzo

University of Queensland - School of Economics

Date Written: May 30, 2005


Game harmony is a generic game property that describes how harmonious (non-conflictual) or disharmonious (conflictual) the interests of players are, as embodied in the payoffs. It can be used to predict the relative degree of cooperation in games of different harmony. For a large enough increase in harmony, all benevolent social welfare functionals converge to the utilitarian social welfare functional, and the utilitarian solution is always a pure Nash equilibrium and acquires further desirable properties of payoff and risk dominance. As a result, utilitarian cooperation is increasing, or at least non-decreasing, in harmony.

Keywords: Cooperation, game harmony, social welfare functionals, utilitarianism

JEL Classification: C72, D63, D64

Suggested Citation

Zizzo, Daniel John, Cooperation and Harmony in Finite Games (May 30, 2005). Available at SSRN: or

Daniel John Zizzo (Contact Author)

University of Queensland - School of Economics ( email )

St Lucia
Brisbane, Queensland 4072

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