Quasiseparable aggregation in games with common local utilities

Nikolai Kukushkin ()

MPRA Paper from University Library of Munich, Germany

Abstract: Strategic games are considered where each player's total utility is an aggregate of local utilities obtained from the use of certain "facilities." All players using a facility obtain the same utility therefrom, which may depend on the identities of users and on their behavior. Individual improvements in such a game are acyclic if a "trimness" condition is satisfied by every facility and all aggregation rules are consistent with a separable ordering. Those conditions are satisfied, for instance, by bottleneck congestion games with an infinite set of facilities. Under appropriate additional assumptions, the existence of a Nash equilibrium is established.

Keywords: Bottleneck congestion game; Game with structured utilities; Potential game; Aggregation; Separable ordering (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Date: 2019-04-30
New Economics Papers: this item is included in nep-gth, nep-mic and nep-upt
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