Steady-state stock and group size: An approach of dynamic voluntary provisions of public goods

Yuankan Huang and Takehiro Inohara

Applied Mathematics and Computation, 2015, vol. 270, issue C, 505-510

Abstract: This note analyzes the effect from group sizes (i.e., the number of consumers) on steady-state stocks in the model of dynamic voluntary provisions of public goods. The model follows Itaya and Shimomura [4]. We focus on feedback Nash equilibrium strategies and find that (1) it is possible to clarify the condition such that the steady-state stock decreases as the group size is larger when consumers take linear feedback Nash equilibrium strategies and (2) when consumers take nonlinear ones, the set of possible steady-state stocks is enlarged as the group size is bigger.

Keywords: Differential games; Provisions of public goods; Group size (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:505-510

DOI: 10.1016/j.amc.2015.08.053

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