Singular dividend optimization for a linear diffusion model with time-inconsistent preferences

Jinxia Zhu, Tak Kuen Siu, Hailiang Yang

Research output: Contribution to journalArticleResearchpeer-review

Abstract

With the advancement of behavioral economics, the use of exponential discounting for decision making in neoclassical economics has been questioned since it cannot provide a realistic way to explain certain decision-making behavior.The purpose of this paper is to investigate strategic decision making on dividend distribution policies of insurance companies when the management adopts a more realistic way for discounting, namely stochastic quasi-hyperbolic discounting. The use of this more realistic way for discounting is motivated by some recent developments in behavioral economics. A game theoretic approach is adopted to establish economic equilibrium results, namely subgame perfect Markov equilibrium strategies. It is shown that (1) under certain mild technical conditions, the barrier strategy with an optimal barrier, which is widely used in the traditional approach to optimal dividend problems, is a perfect Markov equilibrium strategy, (2) the optimal barrier is lower than the barrier of an optimal strategy obtained from the respective time-consistent optimal dividend problem, and (3) the solution based on the barrier strategy does not exist in some situations.

LanguageEnglish
JournalEuropean Journal of Operational Research
DOIs
Publication statusE-pub ahead of print - 23 Apr 2019

Fingerprint

Linear Diffusion
Dividend
Diffusion Model
Discounting
Inconsistent
Linear Model
Economics
Optimization
Decision making
Decision Making
Economic Equilibrium
Insurance
Optimal Strategy
Dividends
Diffusion model
Time-inconsistent preferences
Game
Strategy
Industry
Optimal dividends

Keywords

  • (I) Control
  • Dividends
  • Hyperbolic discounting
  • Non-exponential discounting
  • Ruin theory

Cite this

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title = "Singular dividend optimization for a linear diffusion model with time-inconsistent preferences",
abstract = "With the advancement of behavioral economics, the use of exponential discounting for decision making in neoclassical economics has been questioned since it cannot provide a realistic way to explain certain decision-making behavior.The purpose of this paper is to investigate strategic decision making on dividend distribution policies of insurance companies when the management adopts a more realistic way for discounting, namely stochastic quasi-hyperbolic discounting. The use of this more realistic way for discounting is motivated by some recent developments in behavioral economics. A game theoretic approach is adopted to establish economic equilibrium results, namely subgame perfect Markov equilibrium strategies. It is shown that (1) under certain mild technical conditions, the barrier strategy with an optimal barrier, which is widely used in the traditional approach to optimal dividend problems, is a perfect Markov equilibrium strategy, (2) the optimal barrier is lower than the barrier of an optimal strategy obtained from the respective time-consistent optimal dividend problem, and (3) the solution based on the barrier strategy does not exist in some situations.",
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Singular dividend optimization for a linear diffusion model with time-inconsistent preferences. / Zhu, Jinxia; Siu, Tak Kuen; Yang, Hailiang.

In: European Journal of Operational Research, 23.04.2019.

Research output: Contribution to journalArticleResearchpeer-review

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AU - Yang, Hailiang

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