Abstract

Most previous studies on ultimatum game assume that players assign roles symmetrically, and the fitness of players comes entirely from the payoffs of the game. However, asymmetry is common in real life, due to the fact that everyone's social status and family resources are different, that is, each player has a different background payoff. To investigate the impacts of role assignation and fitness on fairness, we study the asymmetric role assignation and fitness heterogeneity based on background payoff. The results show that asymmetric role assignation and fitness heterogeneity are of great importance on fairness. Especially, when players with small background payoff have more opportunities to act as proposer, fairness level can be significantly promoted, and the greater the weight of background payoff in fitness, the fairer the strategy. The results provide us with better insights into understanding fairness behaviors in the population.

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