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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2014, Volume 6, Issue 2, Pages 60–77
(Mi mgta134)
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This article is cited in 1 scientific paper (total in 1 paper)
Rosenthal's potential and a discrete version of the Debreu–Gorman theorem
Nikolai S. Kukushkin Russian Academy of Sciences, Dorodnicyn Computing Center
Abstract:
The acyclicity of individual improvements in a generalized congestion game (where the sums of local utilities are replaced with arbitrary aggregation rules) can be established with a Rosenthal-style construction if aggregation rules of all players are “quasi-separable”. Every universal separable ordering on a finite set can be represented as a combination of addition and lexicography.
Citation:
Nikolai S. Kukushkin, “Rosenthal's potential and a discrete version of the Debreu–Gorman theorem”, Mat. Teor. Igr Pril., 6:2 (2014), 60–77; Autom. Remote Control, 76:6 (2015), 1101–1110
Linking options:
https://www.mathnet.ru/eng/mgta134 https://www.mathnet.ru/eng/mgta/v6/i2/p60
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Abstract page: | 215 | Full-text PDF : | 105 | References: | 44 |
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