Abstract

We show the existence of involuntary unemployment based on consumers’ utility maximization and firms’ profit maximization behavior under monopolistic competition with increasing, decreasing or constant returns to scale technology using a three-periods overlapping generations (OLG) model with a childhood period as well as younger and older periods, and pay-as-you-go pension for the older generation, and we analyze the effects of fiscal policy financed by tax and budget deficit (or seigniorage) to achieve full-employment under a situation with involuntary unemployment. Under constant prices we show the following results. 1) If the realization of full employment will increase consumers’ disposable income, in order to achieve full-employment from a state with involuntary unemployment, we need budget deficit (Proposition 1). 2) If the full-employment state has been achieved, we need balanced budget to maintain full-employment (Proposition 2). We also consider fiscal policy under inflation or deflation. Additionally, we present a game-theoretic interpretation of involuntary unemployment and full-employment. We also argue that if full employment should be achieved in equilibrium, the instability of equilibrium can be considered to be the cause of involuntary unemployment.

Highlights

  • In this paper we analyze the effects of fiscal policy to achieve full-employment under a situation with involuntary unemployment

  • We argue that if full employment should be achieved in equilibrium, the instability of equilibrium can be considered to be the cause of involuntary unemployment

  • We consider consumers’ utility maximization and firms’ profit maximization in an overlapping generations (OLG) model under monopolistic competition according to Otaki (2007, 2009, 2011, 2015), and demonstrate the existence of involuntary unemployment without the assumption of wage rigidity

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Summary

Introduction

In this paper we analyze the effects of fiscal policy to achieve full-employment under a situation with involuntary unemployment. The simple two-periods OLG model falls in the nominal wage rate, and the prices of goods may increase consumption and employment by the so-called real balance effect. In such a model, consumers have savings for future consumption, but no debt. The real value of the debt is increased by falls in the nominal wage rate and the prices In addition to this configuration we consider a pay-as-you-go pension system for the older generation which may reduce the savings of consumers. In our three-periods OLG model with pay-as-you-go pension increases in consumption and employment due to falls in the nominal wage rate, and the prices of the goods might be negative.

Consumers
Game-theoretic interpretation of involuntary unemployment and full-employment
Discussion and Concluding
Some calculations

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