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We collected the optical light curve data of 227 gamma-ray bursts (GRBs)observed with the TAROT, COATLI, and RATIR telescopes. These consist of 133detections and 94 upper limits. We constructed average light curves in theobserver and rest frames in both X-rays (from {\itshape Swift}/XRT) and in theoptical. Our analysis focused on investigating the observational and intrinsicproperties of GRBs. Specifically, we examined observational properties, such asthe optical brightness function of the GRBs at $T=1000$ seconds after thetrigger, as well as the temporal slope of the afterglow. We also estimated theredshift distribution for the GRBs within our sample. Of the 227 GRBs analysed,we found that 116 had a measured redshift. Based on these data, we calculated alocal rate of $\rho_0=0.2$ Gpc$^{-3}$ yr$^{-1}$ for these events with $z<1$. Toexplore the intrinsic properties of GRBs, we examined the average X-ray andoptical light curves in the rest frame. We use the {\scshape afterglowpy}library to generate synthetic curves to constrain the parameters typical of thebright GRB jet, such as energy (${\langle} {E_{0}}{\rangle}\sim10^{53.6}$~erg), opening angle (${\langle}\theta_\mathrm{core}{\rangle}\sim0.2$~rad), and density (${\langle}n_\mathrm{0}{\rangle}\sim10^{-2.1}$cm$^{-3}$). Furthermore, we analyse microphysical parameters, including thefraction of thermal energy in accelerated electrons(${\langle}\epsilon_e{\rangle}\sim 10^{-1.37}$) and in the magnetic field(${\langle}\epsilon_B{\rangle}\sim10^{-2.26}$), and the power-law index of thepopulation of non-thermal electrons (${\langle}p{\rangle}\sim 2.2$).

Understanding the Nature of the Optical Emission in Gamma-Ray Bursts: Analysis from TAROT, COATLI, and RATIR Observations