論文

• Toshiyuki Hirai. The core coincides with the nucleolus allocations in a public goods economy with taxation, International Game Theory Review, Vol. 11, No. 2, pp. 141-155, June 2009.
• Toshiyuki Hirai. von Neumann-Morgenstern stable sets of income tax rates in public good economies, Economic Theory, Vol. 37, 81-98, Oct. 2008.
• Toshiyuki Hirai, Takuya Masuzawa, Mikio Nakayama. Coalition-proof Nash equilibria and cores in a strategic pure exchange game of bads, Mathematical Social Sciences, Vol. 51, 162-170, Mar. 2006.

著書

• 平井俊行. 公共財供給問題の提携ゲーム理論分析, 三菱経済研究所, Oct. 2009.

学位論文

• Coalitional Game Analyses on Economies with Public Goods,  本文,  Doctor,  Keio University,  2008/01/--, 

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