Evolution of trust in the N-player trust game with transformation incentive mechanism

Trust game is commonly used to study the evolution of trust among unrelated individuals. It offers valuable insights into human interactions in a variety of disciplines, including economics, sociology, and psychology. Previous research has revealed that reward and punishment systems can effectively promote the evolution of trust. However, these investigations overlook the gaming environment, leaving unresolved the optimal conditions for employing distinct incentives to facilitate trust level effectively. To bridge this gap, we introduce a transformation incentive mechanism in an N-player trust game, where trustees are given different forms of incentives depending on the number of trustees in the group. Using the Markov decision process approach, our research shows that as incentives increase, the level of trust rises continuously, eventually reaching a high level of coexistence between investors and trustworthy trustees. Specifically, in the case of smaller incentives, rewarding trustwo..., We use MATLAB to numerically compute the evolutionary dynamics of the system., , # A graphics code to plot phase diagrams

[https://doi.org/10.5061/dryad.t4b8gtjc4](https://doi.org/10.5061/dryad.t4b8gtjc4)

The dataset shows the data in Figure 1 of the related research paper. Figure 1 is of the type of a phase diagram, which depicts the evolutionary dynamics of investors, trustworthy trustees, and untrustworthy trustees, without incentive in a finite population. The dataset contains data on the computation of stationary distributions of Figure 1.

## Description of the data and file structure

These phase diagrams in our main text can be obtained through the provided Matlab code.

### Code/Software

Matlab

**Description:** The main code file is \"threemain722\", its function is to calculate the stationary distribution and the gradient of selection which are the main components of the phase diagram. In addition, the code file \"nchoosek_optimized\" is an improved version of Matlab's own function \"nchoosek\", which is used to compute combinatorial numbers and is slightly ...