As a component of the intelligent transportation system (ITS) and one of the concrete applications of mobile ad-hoc networks, inter-vehicle communication (IVC) has attracted research attention from both the academia and industry. A key issue in the wireless network is the design of medium access control (MAC) layer protocols for distributed channel assignment. A promising class of protocols for IVC networks is R-ALOHA-based protocols. In this paper, we document our investigation of near-far effects and capture effects on R-ALOHA for a real-time distributed packet wireless network or IVC in the presence of multipath, and shadowing. The research recorded in this paper also studied the stability of R-ALOHA protocol for IVC analytically and by simulation. In order to analyze how fast R-ALOHA makes the network stable once communication among terminals is initiated, we construct a discrete Markov chain and derive new recursive formulas based on solutions to Markov chain to evaluate distribution and mean value of system stabilization time in the fading environment.