Which Inequality? The Inequality of Endowments Versus the Inequality of Rewards

Society often allocates valuable resources - such as prestigious positions, salaries, or marriage partners - via tournament-like institutions. In such situations, inequality affects incentives to compete and hence has a direct effect on equilibrium choices and hence material outcomes. We introduce a new distinction between inequality in initial endowments (e.g. ability, inherited wealth) and inequality of what one can obtain as rewards (e.g. prestigious positions, money). We show that these two types of inequality have opposing effects on equilibrium behavior and wellbeing. Greater inequality of rewards tends to hurt most people — both the middle class and the poor, — who are forced into greater effort. In contrast, greater inequality of endowments tends to benefit the middle class. Thus, which type of inequality is considered hugely affects the correctness of our intuitions about the implications of inequality.

Inequality and Risk-Taking Behaviour

This paper investigates social influences on attitudes to risk and offers an evolutionary explanation of risk-taking by young low-ranked males. Becker, Murphy and Werning (2005) found that individuals about to participate in a status tournament may take fair gambles even though they are risk averse in both wealth and status. Here their model is generalised by use of the insight of Hopkins and Kornienko (2010) that in a tournament or status competition one can consider equality in terms of the status or rewards available as well as in initial endowments. While Becker et al. found that risk-taking is increasing in the equality of initial endowments, it is found here that it is increasing in the inequality of rewards in the tournament. Further, it is shown that the poorest will be risk loving if the lowest level of status awarded is sufficiently low. Thus, the disadvantaged in society rationally engage in risky behavior when social rewards are sufficiently unequal. Finally, as greater inequality in terms of social status induces gambling, it can cause greater inequality of wealth.