CHEAPER FOR THE STRONG TO GIVE PEOPLE PROPERTY RIGHTS
Property exists prior to codification in a constitution. So does promise, prior to the institution of contract. A constitution is merely an agreement for reciprocal insurance of the terms of property and contract.
It so happens that allocation of property rights determines the incentives possible, and the incentives determine the degree of market participation – how many hands make the work light – and therefore the cost of providing individuals with incentives.
It’s just cheaper for the strong to give everyone property rights – so long as none of the weak band together to extract from the strong under platonic justification via those self-same rules.
This is the same reason that Slavery is illogical as well as immoral: assuming the prior slaves respect property rights and do not form a government of extraction, then it is merely cheaper and easier to have one’s slaves as vendors and customers.