Table 3 Definitions of the payoff variables in the dynamic game.
A | Administer antibiotic treatment |
W | Withhold antibiotic treatment |
k | Current E-state (number of antibiotic doses left) |
\(d_i^k\) | The threshold decision rule of physician i |
\(1 - F\left( {d_i^k} \right)\) | The probability that physician i administers treatment |
\(F\left( {d_i^k} \right)\) | The probability that physician i withholds treatment |
\(u_{p_i}\left( k \right)\) | The immediate payoff that physician i receives from treating the current patient |
\(v_i^{k - j}\left( {s^{k - j}} \right)\) | The future payoff of each physician, when exactly j of the current patients are given antibiotics |
