Show how to get from eqs 5, 7, and 10 to eqs 21 and 25.

It remains in the research proposal

add references to equations being shown in each panel

Look at other papers (examples below) on how to format and present the mathematical results.

1. Liberman U, Ram Y, Altenberg L, Feldman MW. The evolution of frequency-dependent cultural transmission. Theor Popul Biol. December 2019. doi:10.1016/j.tpb.2019.12.004
2. Ram Y, Liberman U, Feldman MW. Vertical and oblique cultural transmission fluctuating in time and in space. Theor Popul Biol. 2019;125:11-19. doi:10.1016/j.tpb.2018.11.001
3. Ram Y, Liberman U, Feldman MW. Evolution of vertical and oblique transmission under fluctuating selection. Proc Natl Acad Sci. 2018:201719171. doi:10.1073/pnas.1719171115

Provide a numerical validation and demonstration (ie plots) for Result 1

Let's log all the results here.

Vertical + Horizontal transmission (no oblique, v=1)

• Result 1: different horizontal transmission T_A != T_B
• Corollary 1.1: equal horizontal transmission T_A=T_B.
• Special case: full correlation between cooperation and transmission α=1
• Special case: no correlation between cooperation and transmission α=0

Oblique + Horizontal transmission (no vertical, v=0)

• different horizontal transmission T_A != T_B

Double check, Marc says the last “-1” shouldn’t be there

• Walhund effect
• Eshel & Cavalli-Sforza, 1982
• Peck & Feldman, 1986
• Hammond & Axelrod, 2006

Double check and explain how you got it