Some previous definitions
The definition of wisdom in English by Oxford Dictionaries states as "The quality of having experience, knowledge, and good judgement; the quality of being wise." There are many other defintions (see, e.g., Grossmann, I. (2017), "Wisdom in context", Perspectives on Psychological Science, 21 (12): 1254–1266), all focus only on humans.
Definition of wisdom
Conventional definitions of wisdom are outdated by the rising of AI. While there are still many people believe wisdom is a particular feature of human only, researches began to doubt it. Nick Bostrom warned the possible game changer in "Superintelligence: Paths, Dangers, Strategies" (2014). In "Home Deus: A Brief History of Tomorrow" (2016) Yuval Noah Harari suggested humans are algorithms, hence can be replaced by better algorithms. Max Tegmark then defined a "Life 3.0", i.e., lifes that do not rely on a particular physical existence ("Life 3.0", 2017). All these studies imply, though not clearly claimed, that wisdom is not a particular feature of human only. However, they did not show a definition of future wisdom and, more importantly, how to implement it.
Independently, Prof. Zhao proposed a "Law of Wisdom" in 2015 at a lecture for Kyoto University ELPs (now ELP) that says Wisdom = Knowledge + Random choice (智慧＝知識＋乱択). After some studies, he argued wisdom is better defined NOT by some idea but the action to get (wise) ideas. Specifically, Wisdom = Learning + Random Selecting. The first element "Learning" denotes deterministic actions, whereas "Random Selecting" denotes nondeterministic actions. Therefore this definition (independently) matches Y.N. Harari's algorithm theory of humans (who also used deterministic and random), and it showed how to implement a wisdom.
We study history to consider what would happen in the future. In the same way, we study wisdom for the purpose to study future wisdom agents. Notice that humans may not be the only wise agents in the future (see Tegmark's book "Life 3.0" if you are interested in knowing more), and we want to know how to implement wisdom for the future agents. And, if it looks dangerous (see Bostrom's book "Superintelligence"), how we can control future wise agents.