Well, I suppose you hope to out-stubborn the guy with greater stubborness, banking on a statistical probability that the other person is less likely to be stubborn than you. You do however, have to take note of your inferior bargaining position, so even someone equal to or slightly less stubborn than yourself, would still have a positional advantage.
Since views are divided about what is right or wrong about tissue paper reservations, I guess since there is no legislation on this issue, the law of the jungle will prevail. Hence people who agree with tissue paper reservations would continue to do so and hope no one removes them; whilst those against tissue paper reservations will continue to get free tissue paper and/or free seats.
Maybe you should just tar pao Save a lot of confrontations. It is not uncommon to see fights happen over tissue paper reservations and usually, it is the person who is already seated and has both hands free, who has the positional advantage in any dispute.