Cost of institutional incentives for promoting cooperation in $2\times2$ games and collective risk games
Prosocial behaviours, which appear to contradict Darwinian principles of individual payoff maximisation, have been extensively studied across multiple disciplines. Cooperation, requiring a personal cost for collective benefits, is widespread in nature and has been explained through mechanisms such as kin selection, direct and indirect reciprocity, and network reciprocity. Institutional incentives, which reward cooperation and punish anti-social behaviour, offer a promising approach to fostering cooperation in groups of self-interested individuals. This study investigates the behaviour of the cost functions associated with these types of interventions, using both analytical and numerical methods. Focusing on reward, punishment, and hybrid schemes, we analyse their associated cost functions under evolutionary dynamics governed by Fermi's rule, exploring their asymptotic behaviour in the limits of neutral drift and strong selection. Our analysis focuses on two game types: General $2\times2$ Games (with particular attention paid to the cooperative and defective Prisoner's Dilemma) and the Collective Risk Game. In addition to deriving key analytical results, we use numerical simulations to study how parameters such as the intensity of selection affect the behaviour of the aforementioned incentive cost functions.
Code (0)
등록된 구현이 없습니다.
Methods 이 논문이 사용한 방법론
Similar Papers 제목 키워드 기반
Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations
In this paper, we rigorously study the problem of cost optimisation of hybrid (mixed) institutional incentives, which are a plan of actions involving the use of reward and punishment by an external decision-maker, for ma…
Cost optimisation of individual-based institutional reward incentives for promoting cooperation in finite populations
In this paper, we study the problem of cost optimisation of individual-based institutional incentives (reward, punishment, and hybrid) for guaranteeing a certain minimal level of cooperative behaviour in a well-mixed, fi…
Social welfare optimisation under institutional reward and punishment
Institutional incentives are widely used to promote cooperation among autonomous, self-regarding agents, from human societies to multi-agent and AI systems. Existing work typically treats incentive design as a bi-objecti…
Learning Homophilic Incentives in Sequential Social Dilemmas
Promoting cooperation among self-interested agents is a long-standing and interdisciplinary problem, but receives less attention in multi-agent reinforcement learning (MARL). Game-theoretical studies reveal that altruist…
Multi-agent Reinforcement LearningEvolutionary mechanisms that promote cooperation may not promote social welfare
Understanding the emergence of prosocial behaviours among self-interested individuals is an important problem in many scientific disciplines. Various mechanisms have been proposed to explain the evolution of such behavio…