Patriarchy
There has been a prevelent and recent bias to the word patriarchy.
Some will say it means a "system of society or government in which the father or eldest male is head of the family and descent is traced through the male line."
While others will say "Derived from the Greek word patriarkhēs, patriarchy literally means "the rule of the father" and is used to refer to a social system where men control a disproportionately large share of social, economic, political and religious power, and inheritance usually passes down the male line."
It is from the Greek term that literally does means "the rule of the father" within the family where a woman and a man bear the responsibility for the family unit. Those responsibilities are divided along the lines of their natural abilities. A man cannot produce a child within a family for he has no womb or ability to do so. He is generally more capable of fighting to protect the family and provide for both woman and child. These abilities and capabilities to take on and preform these responsibilities of life and survival by their nature often categorize or identify certain rights within the family that are corelative to those responsibilities.
We do see that a patriarchy can be a "system of society or government".
Patrimonialism is a form of governance in which all power flows directly from the leader. This constitutes essentially the blending of the public and private sector.
The family has long been considered to be an autonomous institution resulting from a private agreement or contract to marry between one woman and one man.
These regimes are autocratic or oligarchic and often exclude the upper and middle classes from power.
Patrimonialism was centered on family structures, particularly on the authority of fathers within families, in other words patriarchy but they are clearly counter to the autonomy of the family and will often work to undermine it if not destroy it all together..
Patrimonial monarchies and similar forms of government on the other hand result from a dependence of the people upon the State or its equivalent rather than upon family.
The dependence for protection projects the natural powers of patriarchy (the rule of the father within the family) onto the State or its equivalent through a broader set of contractual and social relationships.
Patrimonial has come to mean "The field of civil law that is indicated with the French words 'droit patrimonial' ('vermogensrecht') regulates the relationships of people to assets and financial based relationships between private persons. The rights that are set by this field of law are called patrimonial rights ('vermogensrechten')."
The rulers of such a civil patrimony where the State becomes a substitute father often offer a welfare that is a snare and the people have been warned for centuries to not be desirous of those benefits and dainties for they are deceitful meats, run towards death, make you merchandise and curse children. Of we have an appetite for those dainties of rulers we should put a knife to their throat.
A patriarchy as a "system of government" is only possible if power, right, or choice within the family. The patriarchy of the State can only grow at the expense of the patriarchy of the family. This of course is why Christ said, "And call no [man] your father upon the earth: for one is your Father, which is in heaven." Matthew 23:9