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Volume 33, Issue 4
Nash Equilibrium of Two Game Models on the Random Social Network

Min Xia

Ann. Appl. Math., 33 (2017), pp. 417-427.

Published online: 2022-06

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  • Abstract

It is known that somebody’s behavior (decision) in a stochastic social network may be influenced by that of his (or her) friends. In this paper, we consider two stochastic social network game models (a) and (b) which can be defined respectively by two different utility functions. Some sufficient conditions for the existence of Nash equilibrium (NE) of the two network game models are obtained by analyzing the different effort relation between a player and his (or her) neighbors.

  • Keywords

degree distribution, utility function, Nash equilibrium.

  • AMS Subject Headings

91D30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-33-417, author = {Xia , Min}, title = {Nash Equilibrium of Two Game Models on the Random Social Network}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {4}, pages = {417--427}, abstract = {

It is known that somebody’s behavior (decision) in a stochastic social network may be influenced by that of his (or her) friends. In this paper, we consider two stochastic social network game models (a) and (b) which can be defined respectively by two different utility functions. Some sufficient conditions for the existence of Nash equilibrium (NE) of the two network game models are obtained by analyzing the different effort relation between a player and his (or her) neighbors.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20621.html} }
TY - JOUR T1 - Nash Equilibrium of Two Game Models on the Random Social Network AU - Xia , Min JO - Annals of Applied Mathematics VL - 4 SP - 417 EP - 427 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20621.html KW - degree distribution, utility function, Nash equilibrium. AB -

It is known that somebody’s behavior (decision) in a stochastic social network may be influenced by that of his (or her) friends. In this paper, we consider two stochastic social network game models (a) and (b) which can be defined respectively by two different utility functions. Some sufficient conditions for the existence of Nash equilibrium (NE) of the two network game models are obtained by analyzing the different effort relation between a player and his (or her) neighbors.

Min Xia. (2022). Nash Equilibrium of Two Game Models on the Random Social Network. Annals of Applied Mathematics. 33 (4). 417-427. doi:
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