Your math is wrong.
1e-30 is the probability that two randomly selected women are both billionaire-adjacent and top-10 tennis players, assuming no correlation between the two. To compare to the observed 20%, you need to instead calculate the probability that a woman is a billionaire, conditional on being a top-10 tennis player, assuming no correlation. Using the binomial formula, the probability of having exactly two billionaire women in the top 10 is about 4.5e-11. (The probability of having more than two billionaire women in the top ten is negligible rela...
There's a standard explanation in game theory as to why wars or fought (or lawsuits are brought to trial, etc.), even when everyone would be better off with a negotiated settlement that avoids expensive conflict. Even assuming that it's possible to enforce an agreement, there's still a problem. In order to induce militarily strong parties (in terms of capability or willingness to fight) to accept the agreement rather than fight, the agreement must be appropriately tilted in their favor. If there is asymmetric information about the relative military strength of the parties, then in equilibrium, wars must be fought with positive probability.
Something very close to this is done with fleet cards (cards given by long-haul trucking companies to their drivers to pay for gas and other expenses). At the high-end, these cards capture a great deal of data, comparable to a receipt. (Not exactly equivalent -- it's more detailed then a typical receipt for some data fields, but doesn't include everything that can be put on a receipt). It's expensive to implement and maintain these sorts of data capture systems, since a receipt is very flexible about the data it can contain. As a result, mor...
TLDR: The paradox goes away if you make price endogenous, i.e., it only occurs because your assumption about the value growth over time that is inconsistent with the profit flows.
The paradox stems from the fact that you've made inconsistent assumptions: that the value of the company increases linearly over time, and that the company never generates a flow of profits (i.e., the only value comes from the sale). If profits are zero, the equilibrium price is constant at zero, and investors are indifferent between holding the company and selling it at any ...
Two studies that have found some evidence that the timing of death responds to incentives created by changes in estate taxes:
1. From the USA: Kopczuk and Slemrod (2003), https://pdfs.semanticscholar.org/afd2/7f878ba71c9ec28258407a1e9b34150cd9d0.pdf
2. From Sweden: Eliason and Ohlsson (2013), http://www.diva-portal.org/smash/get/diva2%3A457378/FULLTEXT01.pdf.
These are far from definitive, but are definitely suggestive.
Matching pennies: https://en.wikipedia.org/wiki/Matching_pennies