Projects per year
Abstract
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 maximising the level (or guaranteeing at least a certain level) of cooperative behaviour in a well-mixed, finite population of self-regarding individuals who interact via cooperation dilemmas (Donation Game or Public Goods Game). We show that a mixed incentive scheme can offer a more cost-efficient approach for providing incentives while ensuring the same level or standard of cooperation in the long-run. We establish the asymptotic behaviour (namely neutral drift, strong selection, and infinite-population limits). We prove the existence of a phase transition, obtaining the critical threshold of the strength of selection at which the monotonicity of the cost function changes and providing an algorithm for finding the optimal value of the individual incentive cost. Our analytical results are illustrated with numerical investigations. Overall, our analysis provides novel theoretical insights into the design of cost-efficient institutional incentive mechanisms for promoting the evolution of cooperation in stochastic systems.
Original language | English |
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Article number | 77 |
Number of pages | 57 |
Journal | Journal of Mathematical Biology |
Volume | 87 |
DOIs | |
Publication status | Published - 26 Oct 2023 |
Keywords
- 92D25
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Dive into the research topics of 'Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations'. Together they form a unique fingerprint.Projects
- 2 Finished
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Rigorous coarse-graining of defects at positive temperature
Engineering & Physical Science Research Council
1/06/22 → 31/05/23
Project: Research Councils
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Variational structures, convergence to equilibrium and multiscale analysis for non-Markovian systems
Engineering & Physical Science Research Council
1/02/22 → 30/06/24
Project: Research Councils