Chackochan, Vinil T. Sanguineti, Vittorio Predictions based on game theory. <p><b>(a)</b> Definition of Nash equilibria vs ‘no-partner’ strategies in two-players non-cooperative game. Nash equilibrium is determined by the intersection of the partners’ reaction curves—locus of optimal control action calculated for each value of the partner action [<a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1006385#pcbi.1006385.ref029" target="_blank">29</a>] (blue and red lines). The ‘no-partner’ solution is determined as the optimal action calculated by each player by assuming that partner’s control is zero. <b>(b)</b> Simulated movements under Nash equilibria, ‘no-partner’ and unconnected conditions, for Player 1 (blue) and Player 2 (red). From top to bottom: movement paths, interaction force and interaction power profiles. <b>(c)</b> Interaction power, <i>P</i><sub><i>i</i></sub>, is defined as the scalar product of the interaction force (<i>F</i><sub><i>i</i></sub>) and the velocity(<i>V</i><sub><i>i</i></sub>). <b>(d)</b> Leader-follower strategy in the no-partner (left) and Nash strategy (right). The plots depict the Leadership index (LI) for both players and both via-points, calculated as the average power in the 300 ms interval (in gray) just before crossing the via-point by its homologous player.</p> information;strategy;collaboration;interaction force;action Physical interaction 2019-12-12
    https://plos.figshare.com/articles/figure/Predictions_based_on_game_theory_/11359841
10.1371/journal.pcbi.1006385.g003