TY - GEN
T1 - Characterization of Potential Games
T2 - 59th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2023
AU - Arefizadeh, Sina
AU - Nedic, Angelia
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - The main objective of this work is to describe games which fall under title of Potential and simplify the conditions for class of aggregative games. Games classified as aggregative are ones in which, in addition to the player's own action, the payoff for each player depends on an aggregate of all the players' decision variables. In this study, we developed a method based on payoff functions to determine if a given game is potential. Then, in order to identify the Aggregative Games that fall under this class we simplified the criteria for the class of Aggregative Games. A 3-player Cournot game, also known as an Aggregative Potential Game, is used to test the characterization criteria for Potential Games. A 4-player Cournot game is also utilized to test the form of potential function we obtained for class of general potential games.
AB - The main objective of this work is to describe games which fall under title of Potential and simplify the conditions for class of aggregative games. Games classified as aggregative are ones in which, in addition to the player's own action, the payoff for each player depends on an aggregate of all the players' decision variables. In this study, we developed a method based on payoff functions to determine if a given game is potential. Then, in order to identify the Aggregative Games that fall under this class we simplified the criteria for the class of Aggregative Games. A 3-player Cournot game, also known as an Aggregative Potential Game, is used to test the characterization criteria for Potential Games. A 4-player Cournot game is also utilized to test the form of potential function we obtained for class of general potential games.
KW - Aggregative Games
KW - Aggregative Potential Games Characterization
KW - Potential Games
UR - http://www.scopus.com/inward/record.url?scp=85179503291&partnerID=8YFLogxK
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U2 - 10.1109/Allerton58177.2023.10313376
DO - 10.1109/Allerton58177.2023.10313376
M3 - Conference contribution
AN - SCOPUS:85179503291
T3 - 2023 59th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2023
BT - 2023 59th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2023
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 26 September 2023 through 29 September 2023
ER -