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We analyze the accelerator constraints on the parameter space of the MinimalSupersymmetric extension of the Standard Model, comparing those now availablefrom LEP II and anticipating the likely sensitivity of Tevatron Run II. Themost important limits are those from searches for charginos, neutralinos andHiggs bosons at LEP, and searches for stop squarks, charginos and neutralinosat the Tevatron Collider. We also incorporate the constraints derived from b--> s + gamma decay, and discuss the relevance of charge- and colour-breakingminima in the effective potential. We combine and compare the differentconstraints on the Higgs-mixing parameter mu, the gaugino-mass parameterm_{1/2} and the scalar-mass parameter m0, incorporating radiative correctionsto the physical particle masses. We focus on the resulting limitations onsupersymmetric dark matter, assumed to be the lightest neutralino,incorporating coannihilation effects in the calculation of the relic abundance.We find that m_chi > 51 GeV and tan(beta) > 2.2 if all softsupersymmetry-breaking scalar masses are universal, including those of theHiggs bosons, and that these limits weaken to m_chi > 46 GeV and tan(beta) >1.9 if non-universal scalar masses are allowed. Light neutralino dark mattercannot be primarily Higgsino in composition.Comment: 39 pages in LaTeX, including 44 encapsulated postscript figure

Supersymmetric dark matter in the light of CERN LEP and the Fermilab Tevatron collider