A method for attempting at least one of avoiding a potential motor-vehicle accident and minimizing damage caused by the potential motor-vehicle accident, the method comprising: a. processing by a prediction-engine, which is at least in part digital-computer-implemented and which is included in an anti-accident device residing temporarily or permanently within a first motor-vehicle, factual input data about a plurality of motor-vehicles and computationally predicting an accident scenario, thereby generating accident prediction data of the potential motor-vehicle accident, whereby the computationally predicting of the accident scenario includes predicting one or more future vehicle control actions and the accident prediction data is generated in accordance with the predicting of the one or more future vehicle control actions, whereby: i. factual input data are facts that are input into the prediction-engine and are used by it for making its predictions, ii. the facts are current or past facts and do not involve any future prediction; iii. accident prediction data is defined as a special case of outcome prediction data that is generated by the computationally predicting of the accident scenario; b. wirelessly transmitting, by non-visual electromagnetic radiation and from the first motor-vehicle, a first accident alert comprising the accident prediction data about the potential motor-vehicle accident; c. receiving the first accident alert at a second motor-vehicle; d. in response to the receiving of the first accident alert, wirelessly transmitting a second accident alert by non-visual EM radiation and from the second motor-vehicle; e. receiving 9161 the second accident alert by a third motor-vehicle; and f. in response to the receiving of the second accident alert, performing by an onboard computer of the third motor-vehicle at least one vehicle control action so as to attempt at least one of the following: (i) avoid being involved in the potential motor-vehicle accident; and (ii) minimize damage inflicted upon the third motor-vehicle as a result of involvement in the potential motor-vehicle accident. a. processing by a prediction-engine, which is at least in part digital-computer-implemented and which is included in an anti-accident device residing temporarily or permanently within a first motor-vehicle, factual input data about a plurality of motor-vehicles and computationally predicting an accident scenario, thereby generating accident prediction data of the potential motor-vehicle accident, whereby the computationally predicting of the accident scenario includes predicting one or more future vehicle control actions and the accident prediction data is generated in accordance with the predicting of the one or more future vehicle control actions, whereby: i. factual input data are facts that are input into the prediction-engine and are used by it for making its predictions, ii. the facts are current or past facts and do not involve any future prediction; iii. accident prediction data is defined as a special case of outcome prediction data that is generated by the computationally predicting of the accident scenario; i. factual input data are facts that are input into the prediction-engine and are used by it for making its predictions, ii. the facts are current or past facts and do not involve any future prediction; iii. accident prediction data is defined as a special case of outcome prediction data that is generated by the computationally predicting of the accident scenario; b. wirelessly transmitting, by non-visual electromagnetic radiation and from the first motor-vehicle, a first accident alert comprising the accident prediction data about the potential motor-vehicle accident; c. receiving the first accident alert at a second motor-vehicle; d. in response to the receiving of the first accident alert, wirelessly transmitting a second accident alert by non-visual EM radiation and from the second motor-vehicle; e. receiving 9161 the second accident alert by a third motor-vehicle; and f. in response to the receiving of the second accident alert, performing by an onboard computer of the third motor-vehicle at least one vehicle control action so as to attempt at least one of the following: (i) avoid being involved in the potential motor-vehicle accident; and (ii) minimize damage inflicted upon the third motor-vehicle as a result of involvement in the potential motor-vehicle accident.