Step 1: Understand that alkene stability is influenced primarily by the degree of alkyl substitution on the double bond and the stereochemistry (cis or trans) of the alkene. More substituted alkenes are generally more stable due to hyperconjugation and alkyl group electron-donating effects.
Step 2: Identify the substitution pattern of each alkene: 1-butene is monosubstituted (double bond at the end), cis-2-butene and trans-2-butene are disubstituted (double bond in the middle), and 2,3-dimethyl-2-butene is tetrasubstituted (double bond with four alkyl groups attached).
Step 3: Recall that trans alkenes are generally more stable than their cis counterparts due to less steric strain between substituents on opposite sides of the double bond.
Step 4: Compare the stability based on substitution and stereochemistry: 2,3-dimethyl-2-butene, being tetrasubstituted, has the highest degree of alkyl substitution, which greatly increases its stability compared to the other alkenes listed.
Step 5: Conclude that the most stable alkene among the options is the one with the greatest substitution on the double bond, which is 2,3-dimethyl-2-butene, due to maximal hyperconjugation and alkyl stabilization effects.