Artikel

Collusion constrained equilibrium

We study collusion within groups in noncooperative games. The primitives are the preferences of the players, their assignment to nonoverlapping groups, and the goals of the groups. Our notion of collusion is that a group coordinates the play of its members among different incentive compatible plans to best achieve its goals. Unfortunately, equilibria that meet this requirement need not exist. We instead introduce the weaker notion of collusion constrained equilibrium. This allows groups to put positive probability on alternatives that are suboptimal for the group in certain razor's edge cases where the set of incentive compatible plans changes discontinuously. These collusion constrained equilibria exist and are a subset of the correlated equilibria of the underlying game. We examine four perturbations of the underlying game. In each case,we show that equilibria in which groups choose the best alternative exist and that limits of these equilibria lead to collusion constrained equilibria. We also show that for a sufficiently broad class of perturbations, every collusion constrained equilibrium arises as such a limit. We give an application to a voter participation game that shows how collusion constraints may be socially costly.

Language
Englisch

Bibliographic citation
Journal: Theoretical Economics ; ISSN: 1555-7561 ; Volume: 13 ; Year: 2018 ; Issue: 1 ; Pages: 307-340 ; New Haven, CT: The Econometric Society

Classification
Wirtschaft
Noncooperative Games
Analysis of Collective Decision-Making: General
Subject
Collusion
organization
group

Event
Geistige Schöpfung
(who)
Dutta, Rohan
Levine, David K.
Modica, Salvatore
Event
Veröffentlichung
(who)
The Econometric Society
(where)
New Haven, CT
(when)
2018

DOI
doi:10.3982/TE2762
Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Dutta, Rohan
  • Levine, David K.
  • Modica, Salvatore
  • The Econometric Society

Time of origin

  • 2018

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