We present a study of e⁺e⁻ collisions where only photons are visible in the final state in data taken with the AMY detector at TRISTAN. Data are presented at CM energies from 50 to 64 GeV, with a total integrated luminosity of 189.1 pb⁻¹. Differential cross sections for e⁺e⁻ → γγ, γγγ are measured and compared to 𝛰(α³) QED. A search for electron compositeness through an e⁺e⁻ γγ contact interaction is conducted, and limits are presented. A search for the pair production of unstable photinos is also presented with limits. Finally, the result of a search for anomalous γγ production is presented, based upon energy scan data taken in December, 1992. / Ph. D.