|
| Notation | Description |
|
| Index of players (companies) |
| Index of players (companies) other than |
| Number of players (companies) |
| The market share of company |
| The offensive advertising effort rate of company at time |
| Defensive advertising effort rate of company at time |
| The generic advertising effort rate of company at time |
| The total generic advertising effort rate of all companies other than |
| The attraction rate function of company |
| The generic advertising effort rate function of company |
| The share that has not been covered yet |
| The offensive advertising constant of company |
| The defensive advertising constant of company |
| The generic advertising constant of company |
| Profit present value of i-th company when it uses , , and strategies |
| The marginal profit of company |
| The potential market |
| The offensive advertising cost function of company |
| The defensive advertising cost function of company |
| The generic advertising cost function of company |
| Constant parameter of offensive strategy |
| Constant parameter of defensive strategy |
| Constant parameter of generic strategy |
| The time horizon |
| The vector of state variables |
| The state variable of company at time t |
| The control variable of company in state x and at time t |
| The Hamiltonian for company |
| Costate variable |
| The belief of the i-th company about the response of the k-th company to change in the state variable of the j-th company |
|
