Evolutionary dynamics in multitasking environments
Ryoji Sawa and
Dai Zusai
Journal of Economic Behavior & Organization, 2019, vol. 166, issue C, 288-308
Abstract:
We formulate the best response dynamic in a multitasking environment; while agents engage in multiple games concurrently, an agent can switch her action in only one of the games upon receipt of a revision opportunity. The choice of the game in which to revise an action makes the multitasking dynamic behave differently from standard evolutionary dynamics. The timing of revisions in a game becomes endogenous, which causes the transition of the action distribution in each game to depend on those in other games. Despite such complexity, we verify the global stability of the Nash equilibrium set in potential and contractive games as well as the local stability of a regular evolutionary stable state. We also show that the equilibrium to which the multitasking dynamic converges may depend on the task choice rules.
Keywords: Evolution; Multitasking; Bounded rationality; Best response dynamics; Evolutionary stable state; Stability of the Nash equilibrium (search for similar items in EconPapers)
JEL-codes: C72 C73 D03 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jeborg:v:166:y:2019:i:c:p:288-308
DOI: 10.1016/j.jebo.2019.06.021
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