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Equilibrium solution to the lowest unique positive integer game
Umeå University, Faculty of Science and Technology, Physics.
Umeå University, Faculty of Science and Technology, Physics.
2010 (English)In: Fluctuation and Noise Letters, ISSN 0219-4775, E-ISSN 1793-6780, Vol. 9, no 1, 61-68 p.Article in journal (Refereed) Published
Abstract [en]

We address the equilibrium concept of a reverse auction game so that no one can enhance the individual payoff by a unilateral change when all the others follow a certain strategy. In this approach the combinatorial possibilities to consider become very much involved even for a small number of players, which has hindered a precise analysis in previous works. We here present a systematic way to reach the solution for a general number of players, and show that this game is an example of conflict between the group and the individual interests.

Place, publisher, year, edition, pages
World Scientific Publishing , 2010. Vol. 9, no 1, 61-68 p.
Keyword [en]
Lowest unique positive integer game, Nash equilibrium, social dilemma
National Category
Other Physics Topics Computational Mathematics
Research subject
Theoretical Physics
URN: urn:nbn:se:umu:diva-30946DOI: 10.1142/S0219477510000071ISI: 000275470000006OAI: diva2:289099
Available from: 2010-03-08 Created: 2010-01-22 Last updated: 2010-03-31Bibliographically approved

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Baek, Seung KiBernhardsson, Sebastian
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