[GPT4:] Open source game theory is a subfield of game theory that specifically deals with open source games or situations where players have access to each other’s strategies. Open source game theory is distinct from the game theory of open source software projects.
In traditional game theory, a Nash equilibrium is a situation where no player has an incentive to change their strategy, given the strategies of other players. However, in open source game theory, players can inspect, adopt, or modify the strategies of other players. As a result, players can make decisions based not only on the strategies of others but also on the strategies they expect others to adopt.
A program equilibrium, in this context, is a stable state in which all players have access to each other’s source code, and no player can gain an advantage by changing their own code, given the code of other players. In a program equilibrium, players’ strategies are both transparent and stable. This concept allows for the analysis of strategic interactions in situations where participants can learn from each other and adapt their strategies accordingly.