If people worry less about starvation, they will put less emphasis on potential partner's financial status.
I don't see how any of this holds up in today's society where women are earning just as much as men, and in some relationships, more.
If a female no longer requires resource provision because she is earning enough money, she will prioritize genetic fitness in her mate selection, and so will be MORE willing to engage in a polygamous arrangement because polygamy can get her access to a greater diversity and quality of genetic material. Monogamy is only necessary for the female if it will provide her with resources or protection. Monogamy is not necessary for her to get access to sperm--sperm is cheap. She doesn't worry about money and can instead get the best genetic material without the best resources.
Therefore, female wealth drives polygamy.
But male economic inequality also drives polygamy.
Both factors increase polygamy. The only way to reverse these pressures would be to legalize rape and return to a state of nature. This would dethrone female agency as the factor that determines who will reproduce with who, and would elevate male violence to the deciding factor.
A lot of this study isn't about "today's society". Also notice the last paragraph: "Monogamous marriage has largely preceded democracy and voting rights for women in the nations where it has been institutionalized, says Henrich, the Canadian Research Chair in Culture, Cognition and Evolution in UBC’s Depts. of Psychology and Economics. By decreasing competition for younger and younger brides, monogamous marriage increases the age of first marriage for females, decreases the spousal age gap and elevates female influence in household decisions which decreases total fertility and increases gender equality."
* Keep rape illegal
* Reduce male economic inequality
* Reduce female personal wealth
Since rape would still be illegal, female desire would still be the agent that determines reproduction and mating. But since females have no personal property, they would have to acquire resources by accessing a male's resources. Since males are all roughly equal, she will prefer to find a male who does not provide resources to other females.
Voila! Monogamy.
I think also, if wealth was the most important factor wouldn't it make sense for one female to have multiple male partners contributing? That would reduce the need to compete for 1 economically strong partner.
Economic inequality between males means more and more women are competing for a smaller supply of wealthy males.
Increased demand for top males leads to gender inequality as more and more women compete for a smaller pool of rich men, reducing the bargaining power of every individual woman and increasing the bargaining power of the few males who are marriage material.
Increased demand for top males leads to polygamy and other polygamous arrangements such as mistresses.