Final answer:
The actual jail time for a third conviction of driving without a valid license varies by state law and the specifics of the offense. The 'three strikes' law refers to much more severe situations, typically involving felonies, that led to life imprisonment without parole for third-time offenders in California during the 1990s.
Step-by-step explanation:
The scenario described is similar to Prisoner's Dilemma, a common example in game theory and law. However, in the context of actual legal consequences for driving without a valid license, this is determined by state law. As such, incarceration time can vary. The mention of the 'three strikes' law references a legal framework where repeat offenders receive harsher penalties, but the original scenario does not provide enough information to determine specific jail time for a third conviction of driving without a license.
To address a similar situation for a hypothetical third felony conviction, one would look to specific state legislations like California's 'three strikes' law of the 1990s, which could impose life imprisonment without parole for any third felony conviction. However, for lesser offenses such as driving without a valid license, the penalties generally include fines, license suspension, and possibly jail time, but these would rarely reach the severity of a 'three strikes' scenario.
Each case would be subject to the details of the offense and the jurisdiction's particular sentencing guidelines. For an accurate answer, one would need to refer to the laws of the state where the conviction occurred.