Please provide me with an economic analysis by comparing the pros and cons of allowing birth mothers to contract freely with adoptive parents. Please focus on the arguments for and against deregulating the market for adoptions. Please provide your analysis based on the following articles:

1) The Economics of Baby Shortage (Landes and Posner)

2) A Modest Proposal to Deregulate Infant Adoptions (Donald J. Boudreaux)

3) The Inapplicability of Market Theory to Adoptions (Tamar Frankel)

Please try to come up with some original arguments in addition to those mentioned in these articles.