Cost Optimisation of Individual-Based Institutional Reward Incentives for Promoting Cooperation in Finite Populations.
Bull Math Biol
; 86(9): 115, 2024 Aug 05.
Article
in En
| MEDLINE
| ID: mdl-39102074
ABSTRACT
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, finite population. In this scheme, the individuals in the population interact via cooperation dilemmas (Donation Game or Public Goods Game) in which institutional reward is carried out only if cooperation is not abundant enough (i.e., the number of cooperators is below a threshold 1 ≤ t ≤ N - 1 , where N is the population size); and similarly, institutional punishment is carried out only when defection is too abundant. We study analytically the cases t = 1 for the reward incentive under the small mutation limit assumption and two different initial states, showing that the cost function is always non-decreasing. We derive the neutral drift and strong selection limits when the intensity of selection tends to zero and infinity, respectively. We numerically investigate the problem for other values of t and for population dynamics with arbitrary mutation rates.
Key words
Full text:
1
Collection:
01-internacional
Database:
MEDLINE
Main subject:
Punishment
/
Reward
/
Cooperative Behavior
/
Mathematical Concepts
/
Game Theory
/
Motivation
Limits:
Humans
Language:
En
Journal:
Bull Math Biol
Year:
2024
Document type:
Article
Country of publication: