Skip to main content

Research Repository

Advanced Search

Conjectural variations in aggregative games: an evolutionary perspective

Possajennikov, Alex

Authors



Abstract

Suppose that in symmetric aggregative games, in which payoffs depend only on a player's strategy and on an aggregate of all players' strategies, players have conjectures about the reaction of the aggregate to marginal changes in their strategy. The players play a conjectural variation equilibrium, which determines their fitness payoffs. The paper shows that only consistent conjectures can be evolutionarily stable in an infinite population, where a conjecture is consistent if it is equal to the marginal change in the aggregate determined by the actual best responses. In the finite population case, only zero conjectures representing aggregate-taking behavior can be evolutionarily stable.

Citation

Possajennikov, A. (2015). Conjectural variations in aggregative games: an evolutionary perspective. Mathematical Social Sciences, 77, https://doi.org/10.1016/j.mathsocsci.2015.07.003

Journal Article Type Article
Publication Date Aug 6, 2015
Deposit Date Aug 7, 2015
Publicly Available Date Mar 28, 2024
Journal Mathematical Social Sciences
Print ISSN 0165-4896
Electronic ISSN 0165-4896
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 77
DOI https://doi.org/10.1016/j.mathsocsci.2015.07.003
Keywords conjectural variations, aggregative games, indirect evolution, evolutionary stability
Public URL https://nottingham-repository.worktribe.com/output/759434
Publisher URL http://www.sciencedirect.com/science/article/pii/S0165489615000670

Files





You might also like



Downloadable Citations